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:

In einer Urne sind zwei Kugeln, die mit der Zahl 3 beschriftet sind, zwei Kugeln, die mit der Zahl 6 beschriftet sind und drei Kugeln, die mit der Zahl 8 beschriftet sind. Es werden zwei Kugeln mit Zurücklegen gezogen.
Die Zufallsgröße X beschreibt die Differenz zwischen der größeren Zahl und der kleineren Zahl der beiden gezogenen Kugeln. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

Für die Zufallsgröße X: 'Differenz der beiden Kugeln' sind folgende Werte möglich:

Zufallsgröße X	X = 0	X = 2	X = 3	X = 5
zugehörige Ereignisse	3 - 3 6 - 6 8 - 8	6 - 8 8 - 6	3 - 6 6 - 3	3 - 8 8 - 3

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 = 2	X = 3	X = 5
zugehörige Wahrscheinlichkeit P(X)	$\frac{2}{7}$ ⋅ $\frac{2}{7}$ + $\frac{2}{7}$ ⋅ $\frac{2}{7}$ + $\frac{3}{7}$ ⋅ $\frac{3}{7}$	$\frac{2}{7}$ ⋅ $\frac{3}{7}$ + $\frac{3}{7}$ ⋅ $\frac{2}{7}$	$\frac{2}{7}$ ⋅ $\frac{2}{7}$ + $\frac{2}{7}$ ⋅ $\frac{2}{7}$	$\frac{2}{7}$ ⋅ $\frac{3}{7}$ + $\frac{3}{7}$ ⋅ $\frac{2}{7}$
=	$\frac{4}{49}$ + $\frac{4}{49}$ + $\frac{9}{49}$	$\frac{6}{49}$ + $\frac{6}{49}$	$\frac{4}{49}$ + $\frac{4}{49}$	$\frac{6}{49}$ + $\frac{6}{49}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	0	2	3	5
P(X=k)	$\frac{17}{49}$	$\frac{12}{49}$	$\frac{8}{49}$	$\frac{12}{49}$

Zufallsgröße (auch ohne zur.)

Beispiel:

In einer Urne sind zwei Kugeln, die mit der Zahl 2 beschriftet sind und zwei Kugeln, die mit der Zahl 6 beschriftet sind. Es werden zwei Kugeln ohne Zurücklegen gezogen. Die Zufallsgröße X beschreibt die Summe der Zahlen der beiden gezogenen Kugeln. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

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

Zufallsgröße X	X = 4	X = 8	X = 12
zugehörige Ereignisse	2 - 2	2 - 6 6 - 2	6 - 6

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 = 4	X = 8	X = 12
zugehörige Wahrscheinlichkeit P(X)	$\frac{1}{2}$ ⋅ $\frac{1}{3}$	$\frac{1}{2}$ ⋅ $\frac{2}{3}$ + $\frac{1}{2}$ ⋅ $\frac{2}{3}$	$\frac{1}{2}$ ⋅ $\frac{1}{3}$
=	$\frac{1}{6}$	$\frac{1}{3}$ + $\frac{1}{3}$	$\frac{1}{6}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	4	8	12
P(X=k)	$\frac{1}{6}$	$\frac{2}{3}$	$\frac{1}{6}$

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

Beispiel:

Eine Lehrerin sammelt die Hausaufgaben von einigen Schülern ein, um zu kontrollieren, ob diese auch ordentlich gemacht wurden. Aus Zeitgründen möchte sie aber nicht alle, sondern nur ein paar wenige einsammeln, welche durch ein Losverfahren ausgewählt werden. Aus (der unbegründeten) Angst ungerecht behandelt zu werden, bestehen die 2 Jungs darauf, dass unbedingt immer eine Hausaufgabe eines der 18 Mädchen der Klasse eingesammelt wird. Deswegen wird solange gelost, bis das erste Mädchen gezogen wird.
Die Zufallsgröße X beschreibt dabei die Anzahl der nach diesem Verfahren einsammelten Hausaufgaben. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

(Denk daran, die Brüche vollständig zu kürzen!)

Lösung einblenden

Da ja nur 2 Hausaufgaben vom Typ 'Jungs' vorhanden sind, muss spätestens im 3-ten Versuch (wenn dann alle Hausaufgaben vom Typ 'Jungs' bereits gezogen und damit weg sind) eine Hausaufgabe vom Typ 'Mädchen' gezogen werden.

Das heißt die Zufallsgröße X kann nur Werte zwischen 1 und 3 annehmen.

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

Zufallsgröße X	1	2	3
P(X=k)	$\frac{9}{10}$	$\frac{9}{95}$	$\frac{1}{190}$

Zufallsgröße rückwärts

Beispiel:

In einer Urne sind 15 Kugeln, die mit verschiedenen Zahlen beschriftet sind. Dabei gibt es nur die Zahlen 2, 4 und 9 als Beschriftung. Es werden zwei Kugeln mit Zurücklegen gezogen. Die Zufallsgröße X beschreibt die Summe der Zahlen der beiden gezogenen Kugeln. Bei der Wahrscheinlichkeitsverteilung von X sind nur der erste und der letzte Wert bekannt (siehe Tabelle).
Wie viele Kugeln mit den oben genannten Zahlen als Beschriftung müssen jeweils in der Urne sein?

Zufallsgröße X 4 6 8 11 13 18

P(X=k) $\frac{4}{25}$ ? ? ? ? $\frac{16}{225}$

Lösung einblenden

Für X=4 gibt es nur das Ereignis: '2'-'2', also dass zwei mal hintereinander '2' kommt.

Wenn p1 die Wahrscheinlichkeit von '2' ist, dann muss also für die Wahrscheinlichkeit, dass zwei mal hintereinander '2' kommt, gelten: P(X=4) = p1 ⋅ p1 (siehe Baumdiagramm).

Aus der Tabelle können wir aber P(X=4) = $\frac{4}{25}$ heraus lesen, also muss gelten:

p1 ⋅ p1 = (p1)² = $\frac{4}{25}$ und somit p1 = $\frac{2}{5}$ .

Ebenso gibt es für X=18 nur das Ereignis: '9'-'9', also dass zwei mal hintereinander '9' kommt.

Wenn p3 die Wahrscheinlichkeit von '9' ist, dann muss also für die Wahrscheinlichkeit, dass zwei mal hintereinander '9' kommt, gelten: P(X=18) = p3 ⋅ p3 (siehe Baumdiagramm).

Aus der Tabelle können wir aber P(X=18) = $\frac{16}{225}$ heraus lesen, also muss gelten:

p3 ⋅ p3 = (p3)² = $\frac{16}{225}$ und somit p3 = $\frac{4}{15}$ .

Da es aber nur drei Optionen gibt, muss p1 + p2 + p3 = 1 gelten, also

p2 = 1 - p1 - p3 = $1$ $- \frac{2}{5}$ $- \frac{4}{15}$ = $\frac{15}{15}$ $- \frac{6}{15}$ $- \frac{4}{15}$ = $\frac{5}{15}$ = $\frac{1}{3}$

Um nun noch die jeweilige Anzahl der Kugeln mit gleicher Zahl zu ermittlen, müssen wir einfach die Wahrscheinlichkeit mit 15 multiplizieren, weil ja für die Wahrscheinlichkeit für eine der n Kugeln mit einer bestimmten Zahl gilt: p = $\frac{n}{15}$

Somit erhalten wir:

n₂ = $\frac{2}{5}$ ⋅ 15 = 6

n₄ = $\frac{1}{3}$ ⋅ 15 = 5

n₉ = $\frac{4}{15}$ ⋅ 15 = 4

Erwartungswerte

Beispiel:

Ein Spieler darf einmal Würfeln. Bei einer 6 bekommt er 36€, bei einer 5 bekommt er 18€, bei einer 4 bekommt er 12€. Würfelt er eine 1, 2 oder 3 so bekommt er 6€. Wie hoch müsste der Einsatz sein, damit das Spiel fair ist?

Lösung einblenden

Die Zufallsgröße X beschreibt den Auszahlungsbetrag.

Erwartungswert der Zufallsgröße X

Ereignis	1-3	4	5	6
Zufallsgröße x_i	6	12	18	36
P(X=x_i)	$\frac{1}{2}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$
x_i ⋅ P(X=x_i)	$3$	$2$	$3$	$6$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 6⋅ $\frac{1}{2}$ + 12⋅ $\frac{1}{6}$ + 18⋅ $\frac{1}{6}$ + 36⋅ $\frac{1}{6}$

= $3$ $+$ $2$ $+$ $3$ $+$ $6$
= $14$

Einsatz für faires Spiel bestimmen

Beispiel:

(Alle Sektoren sind Vielfache
von Achtels-Kreisen)

Bei einem Glücksrad wie rechts abgebildet soll das noch fehlende Feld mit einem Betrag so bestückt werden, dass das Spiel bei einem Einsatz von 9,5€ fair ist.

Lösung einblenden

Die Zufallsgröße X beschreibt die Auszahlung.

Die Zufallsgröße Y beschreibt den Gewinn, also Auszahlung - Einsatz.

Erwartungswerte der Zufallsgrößen X und Y

Ereignis	2	8	12	?
Zufallsgröße x_i	2	8	12	x
Zufallsgröße y_i (Gewinn)	-7.5	-1.5	2.5	x-9.5
P(X=x_i)	$\frac{4}{8}$	$\frac{2}{8}$	$\frac{1}{8}$	$\frac{1}{8}$
x_i ⋅ P(X=x_i)	$1$	$2$	$\frac{3}{2}$	$\frac{1}{8}$ ⋅ x
y_i ⋅ P(Y=y_i)	$- \frac{15}{4}$	$- \frac{3}{8}$	$\frac{2.5}{8}$	$\frac{1}{8}$ ⋅(x-9.5)

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) = 9.5

$\frac{4}{8} \cdot 2 + \frac{2}{8} \cdot 8 + \frac{1}{8} \cdot 12 + \frac{1}{8} x$ = 9.5

1 + 2 + \frac{3}{2} + \frac{1}{8} x

= 9.5

$1 + 2 + \frac{3}{2} + \frac{1}{8} x$	=	$9,5$
$\frac{1}{8} x + \frac{9}{2}$	=	$9,5$	\|⋅ 8
$8 (\frac{1}{8} x + \frac{9}{2})$	=	$76$
$x + 36$	=	$76$	\| $- 36$
$x$	=	$40$

... oder man stellt eine Gleichung auf, so dass der Erwartungswert des Gewinns gleich null ist:

E(Y) = 0

\frac{4}{8} \cdot (- 7,5) + \frac{2}{8} \cdot (- 1,5) + \frac{1}{8} \cdot 2,5 + \frac{1}{8} (x - 9,5)

= 0

- \frac{7.5}{2} - \frac{1.5}{4} + \frac{2.5}{8} + \frac{1}{8} x - 1,1875

= 0

$- 3,75 - 0,375 + 0,3125 + \frac{1}{8} x - 1,1875$	=	0
$\frac{1}{8} x - 5$	=	0	\|⋅ 8
$8 (\frac{1}{8} x - 5)$	=	0
$x - 40$	=	0	\| $+ 40$
$x$	=	$40$

In beiden Fällen ist also der gesuchte Betrag: 40€

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 6€ betragen
• Der minimale Auszahlungsbetrag soll 2€ sein
• Der maximale Auszahlungsbetrag soll soll 19€ 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)	2			19
Y Gewinn (Ausz. - Einsatz)	-4			13
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)	2			19
Y Gewinn (Ausz. - Einsatz)	-4			13
P(X) = P(Y)	$\frac{1}{4}$			$\frac{1}{13}$
Y ⋅ P(Y)	$- 1$			$1$

Die bisherigen Optionen vereinen eine Wahrscheinlichkeit von $\frac{1}{4}$ + $\frac{1}{13}$ = $\frac{17}{52}$
Als Restwahrscheinlichkeit für die verbleibenden Beträge bleibt nun also 1- $\frac{17}{52}$ = $\frac{35}{52}$ .
Diese wird auf die beiden verbleibenden Optionen verteilt:

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	2			19
Y Gewinn (Ausz. - Einsatz)	-4			13
P(X) = P(Y)	$\frac{1}{4}$	$\frac{35}{104}$	$\frac{35}{104}$	$\frac{1}{13}$
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 $2$ ) setzt.

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	2	4	8	19
Y Gewinn (Ausz. - Einsatz)	-4	-2	2	13
P(X) = P(Y)	$\frac{1}{4}$	$\frac{35}{104}$	$\frac{35}{104}$	$\frac{1}{13}$
Winkel	90	121.15	121.15	27.69
Y ⋅ P(Y)	$- 1$	$- \frac{35}{52}$	$\frac{35}{52}$	$1$

Wenn man nun den Erwartungswert berechnet, kommt der gesuchte heraus:

E(Y)= -4⋅ $\frac{1}{4}$ + -2⋅ $\frac{35}{104}$ + 2⋅ $\frac{35}{104}$ + 13⋅ $\frac{1}{13}$

= $- 1$ $- \frac{35}{52}$ $+$ $\frac{35}{52}$ $+$ $1$
= $- \frac{52}{52}$ $- \frac{35}{52}$ $+$ $\frac{35}{52}$ $+$ $\frac{52}{52}$
= $\frac{0}{52}$
= $0$

Erwartungswerte bei 'Ziehen bis erstmals ...'

Beispiel:

Aus einem Kartenstapel mit 5 Karten der Farbe Herz und 2 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: $\frac{5}{7}$

Die Wahrscheinlichkeit für ein 'Herz' im 2-ten Versuch st: $\frac{5}{21}$

Die Wahrscheinlichkeit für ein 'Herz' im 3-ten Versuch st: $\frac{1}{21}$

Die Zufallsgröße X beschreibt die Anzahl der Ziehungen. bis das erste Herz gekommen ist.

Erwartungswert der Zufallsgröße X

Ereignis	1	2	3
Zufallsgröße x_i	1	2	3
P(X=x_i)	$\frac{5}{7}$	$\frac{5}{21}$	$\frac{1}{21}$
x_i ⋅ P(X=x_i)	$\frac{5}{7}$	$\frac{10}{21}$	$\frac{1}{7}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 1⋅ $\frac{5}{7}$ + 2⋅ $\frac{5}{21}$ + 3⋅ $\frac{1}{21}$

= $\frac{5}{7}$ $+$ $\frac{10}{21}$ $+$ $\frac{1}{7}$
= $\frac{15}{21}$ $+$ $\frac{10}{21}$ $+$ $\frac{3}{21}$
= $\frac{28}{21}$
= $\frac{4}{3}$

≈ 1.33

Erwartungswerte mit gesuchten Anzahlen im WS-Baum

Beispiel:

Auf einen Schüleraustausch bewerben sich 18 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	$\frac{136}{609}$
Mädchen -> Mädchen -> Jungs	$\frac{187}{1218}$
Mädchen -> Jungs -> Mädchen	$\frac{187}{1218}$
Mädchen -> Jungs -> Jungs	$\frac{55}{609}$
Jungs -> Mädchen -> Mädchen	$\frac{187}{1218}$
Jungs -> Mädchen -> Jungs	$\frac{55}{609}$
Jungs -> Jungs -> Mädchen	$\frac{55}{609}$
Jungs -> Jungs -> Jungs	$\frac{55}{1218}$

Die Wahrscheinlichkeit für 0 mal 'Mädchen' ist: $\frac{55}{1218}$

Die Wahrscheinlichkeit für 1 mal 'Mädchen' ist: $\frac{55}{609}$ + $\frac{55}{609}$ + $\frac{55}{609}$ = $\frac{55}{203}$

Die Wahrscheinlichkeit für 2 mal 'Mädchen' ist: $\frac{187}{1218}$ + $\frac{187}{1218}$ + $\frac{187}{1218}$ = $\frac{187}{406}$

Die Wahrscheinlichkeit für 3 mal 'Mädchen' ist: $\frac{136}{609}$

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)	$\frac{55}{1218}$	$\frac{55}{203}$	$\frac{187}{406}$	$\frac{136}{609}$
x_i ⋅ P(X=x_i)	$0$	$\frac{55}{203}$	$\frac{187}{203}$	$\frac{136}{203}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 0⋅ $\frac{55}{1218}$ + 1⋅ $\frac{55}{203}$ + 2⋅ $\frac{187}{406}$ + 3⋅ $\frac{136}{609}$

= $0$ $+$ $\frac{55}{203}$ $+$ $\frac{187}{203}$ $+$ $\frac{136}{203}$
= $\frac{0}{203}$ $+$ $\frac{55}{203}$ $+$ $\frac{187}{203}$ $+$ $\frac{136}{203}$
= $\frac{378}{203}$
= $\frac{54}{29}$

≈ 1.86

Erwartungswerte mit best. Optionen im WS-Baum

Beispiel:

In einem Stapel Karten mit 9 Asse, 5 Könige, 2 Damen und 4 Buben werden 2 Karten gezogen. Dabei zählen 2 Asse 1000, 2 Könige 250, 2 Damen 120 und 2 Buben 80 Punkte. Außerdem gibt es für ein Paar aus Dame und König 40 Punkte. Wie viele Punkte kann man bei diesem Spiel erwarten?
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Ereignis	P
As -> As	$\frac{18}{95}$
As -> König	$\frac{9}{76}$
As -> Dame	$\frac{9}{190}$
As -> Bube	$\frac{9}{95}$
König -> As	$\frac{9}{76}$
König -> König	$\frac{1}{19}$
König -> Dame	$\frac{1}{38}$
König -> Bube	$\frac{1}{19}$
Dame -> As	$\frac{9}{190}$
Dame -> König	$\frac{1}{38}$
Dame -> Dame	$\frac{1}{190}$
Dame -> Bube	$\frac{2}{95}$
Bube -> As	$\frac{9}{95}$
Bube -> König	$\frac{1}{19}$
Bube -> Dame	$\frac{2}{95}$
Bube -> Bube	$\frac{3}{95}$

Die Wahrscheinlichkeit für '2 Asse' ist:

P('As'-'As')
= $\frac{18}{95}$

Die Wahrscheinlichkeit für '2 Könige' ist:

P('König'-'König')
= $\frac{1}{19}$

Die Wahrscheinlichkeit für '2 Damen' ist:

P('Dame'-'Dame')
= $\frac{1}{190}$

Die Wahrscheinlichkeit für '2 Buben' ist:

P('Bube'-'Bube')
= $\frac{3}{95}$

Die Wahrscheinlichkeit für 'Paar (D&K)' ist:

P('König'-'Dame') + P('Dame'-'König')
= $\frac{1}{38}$ + $\frac{1}{38}$ = $\frac{1}{19}$

Die Zufallsgröße X beschreibt die gewonnenen Punkte.

Erwartungswert der Zufallsgröße X

Ereignis	2 Asse	2 Könige	2 Damen	2 Buben	Paar (D&K)
Zufallsgröße x_i	1000	250	120	80	40
P(X=x_i)	$\frac{18}{95}$	$\frac{1}{19}$	$\frac{1}{190}$	$\frac{3}{95}$	$\frac{1}{19}$
x_i ⋅ P(X=x_i)	$\frac{3600}{19}$	$\frac{250}{19}$	$\frac{12}{19}$	$\frac{48}{19}$	$\frac{40}{19}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 1000⋅ $\frac{18}{95}$ + 250⋅ $\frac{1}{19}$ + 120⋅ $\frac{1}{190}$ + 80⋅ $\frac{3}{95}$ + 40⋅ $\frac{1}{19}$

= $\frac{3600}{19}$ $+$ $\frac{250}{19}$ $+$ $\frac{12}{19}$ $+$ $\frac{48}{19}$ $+$ $\frac{40}{19}$
= $\frac{3950}{19}$

≈ 207.89

Zufallsgröße X	4	6	8	11	13	18
P(X=k)	$\frac{4}{25}$	?	?	?	?	$\frac{16}{225}$