Pestalozzi Gymnasium Biberach EduRandomtasks

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 100
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 0
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 1
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 2
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 0
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 1
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 2
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58]Code Context                for($i=0;$i<count($val);$i++){        //schleife durch die options (colors)

                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 58
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59]Code Context                    for($j=0;$j<count($this->options);$j++){

                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 59
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60]Code Context                        $sums[$i][$j]=$val[$i]+$this->options[$j];

                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 60
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Warning (2): A non-numeric value encountered [APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61]Code Context                        $prods[$i][$j]=$val[$i]*$this->options[$j];

                        $diffs[$i][$j]=$val[$i]-$this->options[$j];

                        $diffs_abs[$i][$j]=abs($val[$i]-$this->options[$j]);
$X_item = 'sum'
$val = array(
	(int) 0 => 'rot',
	(int) 1 => 'blau',
	(int) 2 => 'gelb',
	(int) 3 => 'schwarz'
)
$i = (int) 3
$j = (int) 3
$sums = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$prods = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	)
)
$diffs_abs = array(
	(int) 0 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 1 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 2 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0,
		(int) 3 => (int) 0
	),
	(int) 3 => array(
		(int) 0 => (int) 0,
		(int) 1 => (int) 0,
		(int) 2 => (int) 0
	)
)
$X_sum = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_prod = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
$X_diff_abs = array(
	(int) 0 => array(
		(int) 0 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 0
		),
		(int) 1 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 1
		),
		(int) 2 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 2
		),
		(int) 3 => array(
			(int) 0 => (int) 0,
			(int) 1 => (int) 3
		),
		(int) 4 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 0
		),
		(int) 5 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 1
		),
		(int) 6 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 2
		),
		(int) 7 => array(
			(int) 0 => (int) 1,
			(int) 1 => (int) 3
		),
		(int) 8 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 0
		),
		(int) 9 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 1
		),
		(int) 10 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 2
		),
		(int) 11 => array(
			(int) 0 => (int) 2,
			(int) 1 => (int) 3
		),
		(int) 12 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 0
		),
		(int) 13 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 1
		),
		(int) 14 => array(
			(int) 0 => (int) 3,
			(int) 1 => (int) 2
		)
	)
)
zufallsgroesse_elementar_aufgabe::get_X_item() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 61
zufallsgroesse_elementar_aufgabe::rechnung() - APP/Lib/mathebattle/aufgaben/mittelstufe/stochastik/zufallsgroesse_elementar_aufgabe.php, line 87
EduRandomtask::get_exercise_text() - APP/Model/EduRandomtask.php, line 101
EduRandomtasksController::overview() - APP/Controller/EduRandomtasksController.php, line 69
ReflectionMethod::invokeArgs() - [internal], line ??
Controller::invokeAction() - CORE/Cake/Controller/Controller.php, line 499
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 193
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 167
[main] - APP/webroot/index.php, line 118

Pestalozzi Gymnasium Biberach EduRandomtasks

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Aufgabenbeispiele von Erwartungswert

Durch Aktualisieren des Browsers (z.B. mit Taste F5) kann man neue Beispielaufgaben sehen

Zufallsgröße (ohne Wahrscheinlichkeit)

Beispiel:

Eine (faire) Münze wird 3 mal geworfen. Die Zufallsgröße X beschreibt die Anzahl der Würfe, bei denen "Zahl" erscheint. Gib alle Werte an, die die Zufallsgröße X annehmen kann.

Lösung einblenden

Für die Zufallsgröße X: 'Summe' sind folgende Werte möglich:

Zufallsgröße X	X = 0
zugehörige Ereignisse	rot - rot rot - blau rot - gelb rot - schwarz blau - rot blau - blau blau - gelb blau - schwarz gelb - rot gelb - blau gelb - gelb gelb - schwarz schwarz - rot schwarz - blau schwarz - gelb schwarz - schwarz

Zufallsgröße WS-Verteilung

Beispiel:

Eine (faire) Münze wird 3 mal geworfen. Die Zufallsgröße X beschreibt die Anzahl, der Würfe bei denen "Zahl" erscheint. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

Für die Zufallsgröße X: 'Anzahl von Zahl-Würfen' sind folgende Werte möglich:

Zufallsgröße X	X = 0	X = 1	X = 2	X = 3
zugehörige Ereignisse	0 - 0 - 0	0 - 0 - 1 0 - 1 - 0 1 - 0 - 0	0 - 1 - 1 1 - 0 - 1 1 - 1 - 0	1 - 1 - 1

Jetzt müssen die Wahrscheinlichkeiten der einzelnen Ereignisse erst mal (mit Hilfe eines Baums) berechnet werden.

Und somit können wir dann auch die Wahrscheinlichkeiten für die einzelnen Werte der Zufallsgröße berechnen.

Zufallsgröße X	X = 0	X = 1	X = 2	X = 3
zugehörige Wahrscheinlichkeit P(X)	$\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$	$\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$ + $\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$ + $\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$	$\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$ + $\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$ + $\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$	$\frac{1}{2}$ ⋅ $\frac{1}{2}$ ⋅ $\frac{1}{2}$
=	$\frac{1}{8}$	$\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$	$\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$	$\frac{1}{8}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	0	1	2	3
P(X=k)	$\frac{1}{8}$	$\frac{3}{8}$	$\frac{3}{8}$	$\frac{1}{8}$

Zufallsgröße (auch ohne zur.)

Beispiel:

In einem Kartenstapel sind nur noch vier Karten mit dem Wert 4, vier Karten mit dem Wert 7 und vier 10er.
Es werden zwei Karten ohne Zurücklegen gezogen. Die Zufallsgröße X beschreibt die Summe der Werte der beiden gezogenen Karten. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

Für die Zufallsgröße X: 'Summe der beiden Karten' sind folgende Werte möglich:

Zufallsgröße X	X = 8	X = 11	X = 14	X = 17	X = 20
zugehörige Ereignisse	4 - 4	4 - 7 7 - 4	4 - 10 7 - 7 10 - 4	7 - 10 10 - 7	10 - 10

Jetzt müssen die Wahrscheinlichkeiten der einzelnen Ereignisse erst mal (mit Hilfe eines Baums) berechnet werden.

Und somit können wir dann auch die Wahrscheinlichkeiten für die einzelnen Werte der Zufallsgröße berechnen.

Zufallsgröße X	X = 8	X = 11	X = 14	X = 17	X = 20
zugehörige Wahrscheinlichkeit P(X)	$\frac{1}{3}$ ⋅ $\frac{3}{11}$	$\frac{1}{3}$ ⋅ $\frac{4}{11}$ + $\frac{1}{3}$ ⋅ $\frac{4}{11}$	$\frac{1}{3}$ ⋅ $\frac{4}{11}$ + $\frac{1}{3}$ ⋅ $\frac{3}{11}$ + $\frac{1}{3}$ ⋅ $\frac{4}{11}$	$\frac{1}{3}$ ⋅ $\frac{4}{11}$ + $\frac{1}{3}$ ⋅ $\frac{4}{11}$	$\frac{1}{3}$ ⋅ $\frac{3}{11}$
=	$\frac{1}{11}$	$\frac{4}{33}$ + $\frac{4}{33}$	$\frac{4}{33}$ + $\frac{1}{11}$ + $\frac{4}{33}$	$\frac{4}{33}$ + $\frac{4}{33}$	$\frac{1}{11}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	8	11	14	17	20
P(X=k)	$\frac{1}{11}$	$\frac{8}{33}$	$\frac{1}{3}$	$\frac{8}{33}$	$\frac{1}{11}$

Zufallsgr. WS-Vert. (ziehen bis erstmals ...)

Beispiel:

In einer Urne sind 4 rote und 3 blaue Kugeln. Es soll (ohne zurücklegen) solange gezogen werden, bis erstmals eine rote Kugel erscheint.
Die Zufallsgröße X beschreibt dabei die Anzahl der Ziehungen, bis die erste rote Kugel gezogen worden ist. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

(Denk daran, die Brüche vollständig zu kürzen!)

Lösung einblenden

Da ja nur 3 Kugeln vom Typ 'blau' vorhanden sind, muss spätestens im 4-ten Versuch (wenn dann alle Kugeln vom Typ 'blau' bereits gezogen und damit weg sind) eine Kugel vom Typ 'rot' gezogen werden.

Das heißt die Zufallsgröße X kann nur Werte zwischen 1 und 4 annehmen.

Aus dem reduzierten Baumdiagramm rechts kann man nun die Wahrscheinlichkeitsverteilung der Zufallsgröße X übernehmen:

Zufallsgröße X	1	2	3	4
P(X=k)	$\frac{4}{7}$	$\frac{2}{7}$	$\frac{4}{35}$	$\frac{1}{35}$

Zufallsgröße rückwärts

Beispiel:

Ein Glücksrad hat drei Sektoren, die mit den Zahlen 1, 2 und 3 beschriftet sind. Es wird zwei mal gedreht. Die Zufallsgröße X beschreibt dabei die Summe der Zahlen die bei den beiden Glücksraddrehungen erscheinen. Bei der Wahrscheinlichkeitsverteilung von X sind nur der erste und der letzte Wert bekannt (siehe Tabelle).
Wie groß müssen jeweils die Winkel der Sektoren sein?

Zufallsgröße X 2 3 4 5 6

P(X=k) $\frac{1}{1296}$ ? ? ? $\frac{4}{9}$

Lösung einblenden

(Alle Sektoren sind Vielfache
von Achtels-Kreisen)

Für X=2 gibt es nur das Ereignis: '1'-'1', also dass zwei mal hintereinander '1' kommt.

Wenn p1 die Wahrscheinlichkeit von '1' ist, dann muss also für die Wahrscheinlichkeit, dass zwei mal hintereinander '1' kommt, gelten: P(X=2) = p1 ⋅ p1 (siehe Baumdiagramm).

Aus der Tabelle können wir aber P(X=2) = $\frac{1}{1296}$ heraus lesen, also muss gelten:

p1 ⋅ p1 = (p1)² = $\frac{1}{1296}$ und somit p1 = $\frac{1}{36}$ .

Ebenso gibt es für X=6 nur das Ereignis: '3'-'3', also dass zwei mal hintereinander '3' kommt.

Wenn p3 die Wahrscheinlichkeit von '3' ist, dann muss also für die Wahrscheinlichkeit, dass zwei mal hintereinander '3' kommt, gelten: P(X=6) = p3 ⋅ p3 (siehe Baumdiagramm).

Aus der Tabelle können wir aber P(X=6) = $\frac{4}{9}$ heraus lesen, also muss gelten:

p3 ⋅ p3 = (p3)² = $\frac{4}{9}$ und somit p3 = $\frac{2}{3}$ .

Da es aber nur drei Optionen gibt, muss p1 + p2 + p3 = 1 gelten, also

p2 = 1 - p1 - p3 = $1$ $- \frac{1}{36}$ $- \frac{2}{3}$ = $\frac{36}{36}$ $- \frac{1}{36}$ $- \frac{24}{36}$ = $\frac{11}{36}$

Um nun noch die Mittelpunktswinkel der drei Sektoren zu ermittlen, müssen wir einfach die Wahrscheinlichkeit mit 360° multiplizieren, weil ja für die Wahrscheinlichkeit eines Sektors mit Mittelpunktswinkel α gilt: p = $\frac{α}{360°}$

Somit erhalten wir:

α₁ = $\frac{1}{36}$ ⋅ 360° = 10°

α₂ = $\frac{11}{36}$ ⋅ 360° = 110°

α₃ = $\frac{2}{3}$ ⋅ 360° = 240°

Erwartungswerte

Beispiel:

(Alle Sektoren sind Vielfache
von Achtels-Kreisen)

Wie viele Punkte kann man bei dem abgebildeten Glücksrad erwarten?

Lösung einblenden

Die Zufallsgröße X beschreibt die Punktezahl auf einem Sektor des Glücksrads.

Erwartungswert der Zufallsgröße X

Ereignis	2	10	16	50
Zufallsgröße x_i	2	10	16	50
P(X=x_i)	$\frac{4}{8}$	$\frac{2}{8}$	$\frac{1}{8}$	$\frac{1}{8}$
x_i ⋅ P(X=x_i)	$1$	$\frac{5}{2}$	$2$	$\frac{25}{4}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 2⋅ $\frac{4}{8}$ + 10⋅ $\frac{2}{8}$ + 16⋅ $\frac{1}{8}$ + 50⋅ $\frac{1}{8}$

= $1$ $+$ $\frac{5}{2}$ $+$ $2$ $+$ $\frac{25}{4}$
= $\frac{4}{4}$ $+$ $\frac{10}{4}$ $+$ $\frac{8}{4}$ $+$ $\frac{25}{4}$
= $\frac{47}{4}$

≈ 11.75

Einsatz für faires Spiel bestimmen

Beispiel:

Ein Spieler darf aus einer Urne mit 3 blauen, 5 roten, 3 grünen und 4 weißen Kugeln eine Kugel ziehen. Erwischt er eine blaue, so erhält er 30€. Bei rot erhält er 9€ und bei grün erhält er 20€. Welchen Betrag muss er bei weiß erhalten damit das Spiel fair ist, wenn der Einsatz 17€ beträgt ?

Lösung einblenden

Die Zufallsgröße X beschreibt die Auszahlung.

Die Zufallsgröße Y beschreibt den Gewinn, also Auszahlung - Einsatz.

Erwartungswerte der Zufallsgrößen X und Y

Ereignis	blau	rot	grün	weiß
Zufallsgröße x_i	30	9	20	x
Zufallsgröße y_i (Gewinn)	13	-8	3	x-17
P(X=x_i)	$\frac{3}{15}$	$\frac{5}{15}$	$\frac{3}{15}$	$\frac{4}{15}$
x_i ⋅ P(X=x_i)	$6$	$3$	$4$	$\frac{4}{15}$ ⋅ x
y_i ⋅ P(Y=y_i)	$\frac{13}{5}$	$- \frac{8}{3}$	$\frac{3}{5}$	$\frac{4}{15}$ ⋅(x-17)

Um den gesuchten Auszahlungsbetrag zu berrechnen hat man zwei Möglichkeiten:

Entweder stellt man eine Gleichung auf, so dass der Erwartungswert des Auszahlungsbetrags gleich des Einsatzes ist ...

E(X) = 17

$\frac{3}{15} \cdot 30 + \frac{5}{15} \cdot 9 + \frac{3}{15} \cdot 20 + \frac{4}{15} x$ = 17

6 + 3 + 4 + \frac{4}{15} x

= 17

$6 + 3 + 4 + \frac{4}{15} x$	=	$17$
$\frac{4}{15} x + 13$	=	$17$	\|⋅ 15
$15 (\frac{4}{15} x + 13)$	=	$255$
$4 x + 195$	=	$255$	\| $- 195$
$4 x$	=	$60$	\|: $4$
$x$	=	$15$

... oder man stellt eine Gleichung auf, so dass der Erwartungswert des Gewinns gleich null ist:

E(Y) = 0

\frac{3}{15} \cdot 13 + \frac{5}{15} \cdot (- 8) + \frac{3}{15} \cdot 3 + \frac{4}{15} (x - 17)

= 0

\frac{13}{5} - \frac{8}{3} + \frac{3}{5} + \frac{4}{15} x - \frac{68}{15}

= 0

$\frac{13}{5} - \frac{8}{3} + \frac{3}{5} + \frac{4}{15} x - \frac{68}{15}$	=	0
$\frac{4}{15} x - 4$	=	0	\|⋅ 15
$15 (\frac{4}{15} x - 4)$	=	0
$4 x - 60$	=	0	\| $+ 60$
$4 x$	=	$60$	\|: $4$
$x$	=	$15$

In beiden Fällen ist also der gesuchte Betrag: 15€

Erwartungswert ganz offen

Beispiel:

Eine Klasse möchte beim Schulfest ein Glücksrad mit Spielgeld anbieten. Dabei soll das Glücksrad in Sektoren aufgeteilt werden, in denen der Auszahlungsbetrag (z.B. 3€) drin steht. Nach langer Diskussion einigt man sich auf folgende Punkte:
• Das Spiel mit dem Glücksrad muss fair sein
• Der Einsatz soll 10€ betragen
• Der minimale Auszahlungsbetrag soll 8€ sein
• Der maximale Auszahlungsbetrag soll soll 49€ sein
• Es sollen genau 4 Sektoren mit verschiedenen Auszahlungsbeträgen auf dem Glücksrad sein
Finde eine Möglichkeit für solch ein Glücksrad und trage diese in die Tabelle ein.

Lösung einblenden

Eine (von vielen möglichen) Lösungen:

Als erstes schreiben wir mal die Vorgaben in die Tabelle rein.

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	8			49
Y Gewinn (Ausz. - Einsatz)	-2			39
P(X) = P(Y)
Y ⋅ P(Y)

Jetzt setzen wir die Wahrscheinlichkeiten so, dass der negative Beitrag vom minimalen Betrag zum Erwartungswert den gleichen Betrag hat wie der positve vom maximalen Betrag.(dazu einfach jeweils den Gewinn in den Nenner der Wahrscheinlichkeit)

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	8			49
Y Gewinn (Ausz. - Einsatz)	-2			39
P(X) = P(Y)	$\frac{1}{2}$			$\frac{1}{39}$
Y ⋅ P(Y)	$- 1$			$1$

Die bisherigen Optionen vereinen eine Wahrscheinlichkeit von $\frac{1}{2}$ + $\frac{1}{39}$ = $\frac{41}{78}$
Als Restwahrscheinlichkeit für die verbleibenden Beträge bleibt nun also 1- $\frac{41}{78}$ = $\frac{37}{78}$ .
Diese wird auf die beiden verbleibenden Optionen verteilt:

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	8			49
Y Gewinn (Ausz. - Einsatz)	-2			39
P(X) = P(Y)	$\frac{1}{2}$	$\frac{37}{156}$	$\frac{37}{156}$	$\frac{1}{39}$
Y ⋅ P(Y)	$- 1$			$1$

Damit nun der Erwartungswert =0 wird, müssen sich die beiden noch verbleibenden Anteile daran gegenseitig aufheben. Dies erreicht man, in dem man den Gewinn jeweils gleich 'weit vom Einsatz weg' (nämlich $1$ ) setzt.

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	8	9	11	49
Y Gewinn (Ausz. - Einsatz)	-2	-1	1	39
P(X) = P(Y)	$\frac{1}{2}$	$\frac{37}{156}$	$\frac{37}{156}$	$\frac{1}{39}$
Winkel	180	85.38	85.38	9.23
Y ⋅ P(Y)	$- 1$	$- \frac{37}{156}$	$\frac{37}{156}$	$1$

Wenn man nun den Erwartungswert berechnet, kommt der gesuchte heraus:

E(Y)= -2⋅ $\frac{1}{2}$ + -1⋅ $\frac{37}{156}$ + 1⋅ $\frac{37}{156}$ + 39⋅ $\frac{1}{39}$

= $- 1$ $- \frac{37}{156}$ $+$ $\frac{37}{156}$ $+$ $1$
= $- \frac{156}{156}$ $- \frac{37}{156}$ $+$ $\frac{37}{156}$ $+$ $\frac{156}{156}$
= $\frac{0}{156}$
= $0$

Erwartungswerte bei 'Ziehen bis erstmals ...'

Beispiel:

Aus einem Kartenstapel mit 11 Karten der Farbe Herz und 4 weiteren Karten soll solange eine Karte gezogen werden, bis eine Herz-Karte erscheint. Bestimme den Erwartungswert für die Anzahl der Ziehungen, bis das erste Herz erscheint.
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Die Wahrscheinlichkeit für ein 'Herz' im 1-ten Versuch st: $\frac{11}{15}$

Die Wahrscheinlichkeit für ein 'Herz' im 2-ten Versuch st: $\frac{22}{105}$

Die Wahrscheinlichkeit für ein 'Herz' im 3-ten Versuch st: $\frac{22}{455}$

Die Wahrscheinlichkeit für ein 'Herz' im 4-ten Versuch st: $\frac{11}{1365}$

Die Wahrscheinlichkeit für ein 'Herz' im 5-ten Versuch st: $\frac{1}{1365}$

Die Zufallsgröße X beschreibt die Anzahl der Ziehungen. bis das erste Herz gekommen ist.

Erwartungswert der Zufallsgröße X

Ereignis	1	2	3	4	5
Zufallsgröße x_i	1	2	3	4	5
P(X=x_i)	$\frac{11}{15}$	$\frac{22}{105}$	$\frac{22}{455}$	$\frac{11}{1365}$	$\frac{1}{1365}$
x_i ⋅ P(X=x_i)	$\frac{11}{15}$	$\frac{44}{105}$	$\frac{66}{455}$	$\frac{44}{1365}$	$\frac{1}{273}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 1⋅ $\frac{11}{15}$ + 2⋅ $\frac{22}{105}$ + 3⋅ $\frac{22}{455}$ + 4⋅ $\frac{11}{1365}$ + 5⋅ $\frac{1}{1365}$

= $\frac{11}{15}$ $+$ $\frac{44}{105}$ $+$ $\frac{66}{455}$ $+$ $\frac{44}{1365}$ $+$ $\frac{1}{273}$
= $\frac{1001}{1365}$ $+$ $\frac{572}{1365}$ $+$ $\frac{198}{1365}$ $+$ $\frac{44}{1365}$ $+$ $\frac{5}{1365}$
= $\frac{1820}{1365}$
= $\frac{4}{3}$

≈ 1.33

Erwartungswerte mit gesuchten Anzahlen im WS-Baum

Beispiel:

Auf einen Schüleraustausch bewerben sich 12 Mädchen und 11 Jungs. Weil aber leider weniger Plätze zur Verfügung stehen, muss gelost werden. Wie viele Mädchen kann man bei den ersten 3 verlosten Plätzen erwarten?
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Ereignis	P
Mädchen -> Mädchen -> Mädchen	$\frac{20}{161}$
Mädchen -> Mädchen -> Jungs	$\frac{22}{161}$
Mädchen -> Jungs -> Mädchen	$\frac{22}{161}$
Mädchen -> Jungs -> Jungs	$\frac{20}{161}$
Jungs -> Mädchen -> Mädchen	$\frac{22}{161}$
Jungs -> Mädchen -> Jungs	$\frac{20}{161}$
Jungs -> Jungs -> Mädchen	$\frac{20}{161}$
Jungs -> Jungs -> Jungs	$\frac{15}{161}$

Die Wahrscheinlichkeit für 0 mal 'Mädchen' ist: $\frac{15}{161}$

Die Wahrscheinlichkeit für 1 mal 'Mädchen' ist: $\frac{20}{161}$ + $\frac{20}{161}$ + $\frac{20}{161}$ = $\frac{60}{161}$

Die Wahrscheinlichkeit für 2 mal 'Mädchen' ist: $\frac{22}{161}$ + $\frac{22}{161}$ + $\frac{22}{161}$ = $\frac{66}{161}$

Die Wahrscheinlichkeit für 3 mal 'Mädchen' ist: $\frac{20}{161}$

Die Zufallsgröße X beschreibt die Anzahl an Mädchen unter den drei verlosten Plätzen.

Erwartungswert der Zufallsgröße X

Ereignis	0	1	2	3
Zufallsgröße x_i	0	1	2	3
P(X=x_i)	$\frac{15}{161}$	$\frac{60}{161}$	$\frac{66}{161}$	$\frac{20}{161}$
x_i ⋅ P(X=x_i)	$0$	$\frac{60}{161}$	$\frac{132}{161}$	$\frac{60}{161}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 0⋅ $\frac{15}{161}$ + 1⋅ $\frac{60}{161}$ + 2⋅ $\frac{66}{161}$ + 3⋅ $\frac{20}{161}$

= $0$ $+$ $\frac{60}{161}$ $+$ $\frac{132}{161}$ $+$ $\frac{60}{161}$
= $\frac{0}{161}$ $+$ $\frac{60}{161}$ $+$ $\frac{132}{161}$ $+$ $\frac{60}{161}$
= $\frac{252}{161}$
= $\frac{36}{23}$

≈ 1.57

Erwartungswerte mit best. Optionen im WS-Baum

Beispiel:

Ein leidenschaftlicher Mäxle-Spieler möchte eine Mäxle-Spielautomat bauen. Wie beim richtigen Mäxle sollen auch hier zwei normale Würfel gleichzeitig geworfen werden (bzw. dies eben simuliert). Bei einem Mäxle (also eine 1 und eine 2) soll dann 10€ ausbezahlt werden, bei einem Pasch (also zwei gleiche Augenzahlen) 5€ und bei 61-65 also (also ein Würfel 6 und der andere keine 6) noch 3€. Wie groß müsste der Einsatz sein, damit das Spiel fair wird?
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Ereignis	P
1 -> 1	$\frac{1}{36}$
1 -> 2	$\frac{1}{36}$
1 -> 3	$\frac{1}{36}$
1 -> 4	$\frac{1}{36}$
1 -> 5	$\frac{1}{36}$
1 -> 6	$\frac{1}{36}$
2 -> 1	$\frac{1}{36}$
2 -> 2	$\frac{1}{36}$
2 -> 3	$\frac{1}{36}$
2 -> 4	$\frac{1}{36}$
2 -> 5	$\frac{1}{36}$
2 -> 6	$\frac{1}{36}$
3 -> 1	$\frac{1}{36}$
3 -> 2	$\frac{1}{36}$
3 -> 3	$\frac{1}{36}$
3 -> 4	$\frac{1}{36}$
3 -> 5	$\frac{1}{36}$
3 -> 6	$\frac{1}{36}$
4 -> 1	$\frac{1}{36}$
4 -> 2	$\frac{1}{36}$
4 -> 3	$\frac{1}{36}$
4 -> 4	$\frac{1}{36}$
4 -> 5	$\frac{1}{36}$
4 -> 6	$\frac{1}{36}$
5 -> 1	$\frac{1}{36}$
5 -> 2	$\frac{1}{36}$
5 -> 3	$\frac{1}{36}$
5 -> 4	$\frac{1}{36}$
5 -> 5	$\frac{1}{36}$
5 -> 6	$\frac{1}{36}$
6 -> 1	$\frac{1}{36}$
6 -> 2	$\frac{1}{36}$
6 -> 3	$\frac{1}{36}$
6 -> 4	$\frac{1}{36}$
6 -> 5	$\frac{1}{36}$
6 -> 6	$\frac{1}{36}$

Die Wahrscheinlichkeit für 'Mäxle' ist:

P('1'-'2') + P('2'-'1')
= $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{1}{18}$

Die Wahrscheinlichkeit für 'Pasch' ist:

P('1'-'1') + P('2'-'2') + P('3'-'3') + P('4'-'4') + P('5'-'5') + P('6'-'6')
= $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{1}{6}$

Die Wahrscheinlichkeit für '60er' ist:

P('1'-'6') + P('2'-'6') + P('3'-'6') + P('4'-'6') + P('5'-'6') + P('6'-'1') + P('6'-'2') + P('6'-'3') + P('6'-'4') + P('6'-'5')
= $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{5}{18}$

Die Zufallsgröße X beschreibt den durch die beiden Würfel ausbezahlten Euro-Betrag.

Erwartungswert der Zufallsgröße X

Ereignis	Mäxle	Pasch	60er
Zufallsgröße x_i	10	5	3
P(X=x_i)	$\frac{1}{18}$	$\frac{1}{6}$	$\frac{5}{18}$
x_i ⋅ P(X=x_i)	$\frac{5}{9}$	$\frac{5}{6}$	$\frac{5}{6}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 10⋅ $\frac{1}{18}$ + 5⋅ $\frac{1}{6}$ + 3⋅ $\frac{5}{18}$

= $\frac{5}{9}$ $+$ $\frac{5}{6}$ $+$ $\frac{5}{6}$
= $\frac{10}{18}$ $+$ $\frac{15}{18}$ $+$ $\frac{15}{18}$
= $\frac{40}{18}$
= $\frac{20}{9}$

≈ 2.22