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

zurück zum Themenbaum

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:

Ein Würfel mit nebenstehendem Netz wird 2 mal geworfen. Die Zufallsgröße X beschreibt dabei die Summe der Augenzahlen der beiden Würfe. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

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

Zufallsgröße X	X = 2	X = 3	X = 4	X = 6	X = 7	X = 10
zugehörige Ereignisse	1 - 1	1 - 2 2 - 1	2 - 2	1 - 5 5 - 1	2 - 5 5 - 2	5 - 5

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 = 2	X = 3	X = 4	X = 6	X = 7	X = 10
zugehörige Wahrscheinlichkeit P(X)	$\frac{1}{2}$ ⋅ $\frac{1}{2}$	$\frac{1}{2}$ ⋅ $\frac{1}{6}$ + $\frac{1}{6}$ ⋅ $\frac{1}{2}$	$\frac{1}{6}$ ⋅ $\frac{1}{6}$	$\frac{1}{2}$ ⋅ $\frac{1}{3}$ + $\frac{1}{3}$ ⋅ $\frac{1}{2}$	$\frac{1}{6}$ ⋅ $\frac{1}{3}$ + $\frac{1}{3}$ ⋅ $\frac{1}{6}$	$\frac{1}{3}$ ⋅ $\frac{1}{3}$
=	$\frac{1}{4}$	$\frac{1}{12}$ + $\frac{1}{12}$	$\frac{1}{36}$	$\frac{1}{6}$ + $\frac{1}{6}$	$\frac{1}{18}$ + $\frac{1}{18}$	$\frac{1}{9}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	2	3	4	6	7	10
P(X=k)	$\frac{1}{4}$	$\frac{1}{6}$	$\frac{1}{36}$	$\frac{1}{3}$	$\frac{1}{9}$	$\frac{1}{9}$

Zufallsgröße (auch ohne zur.)

Beispiel:

In einem Kartenstapel sind nur noch vier Karten mit dem Wert 4, vier Karten mit dem Wert 5 und zwei 10er.
Es werden zwei Karten ohne Zurücklegen gezogen. Die Zufallsgröße X beschreibt die Summe der Werte der beiden gezogenen Karten. Stelle eine Wahrscheinlichkeitsverteilung für die Zufallsgröße X auf.

Lösung einblenden

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

Zufallsgröße X	X = 8	X = 9	X = 10	X = 14	X = 15	X = 20
zugehörige Ereignisse	4 - 4	4 - 5 5 - 4	5 - 5	4 - 10 10 - 4	5 - 10 10 - 5	10 - 10

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

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

Zufallsgröße X	X = 8	X = 9	X = 10	X = 14	X = 15	X = 20
zugehörige Wahrscheinlichkeit P(X)	$\frac{2}{5}$ ⋅ $\frac{3}{9}$	$\frac{2}{5}$ ⋅ $\frac{4}{9}$ + $\frac{2}{5}$ ⋅ $\frac{4}{9}$	$\frac{2}{5}$ ⋅ $\frac{3}{9}$	$\frac{2}{5}$ ⋅ $\frac{2}{9}$ + $\frac{1}{5}$ ⋅ $\frac{4}{9}$	$\frac{2}{5}$ ⋅ $\frac{2}{9}$ + $\frac{1}{5}$ ⋅ $\frac{4}{9}$	$\frac{1}{5}$ ⋅ $\frac{1}{9}$
=	$\frac{2}{15}$	$\frac{8}{45}$ + $\frac{8}{45}$	$\frac{2}{15}$	$\frac{4}{45}$ + $\frac{4}{45}$	$\frac{4}{45}$ + $\frac{4}{45}$	$\frac{1}{45}$

Hiermit ergibt sich die gesuchte Wahrscheinlichkeitsverteilung für die Zufallsgröße X:

Zufallsgröße X	8	9	10	14	15	20
P(X=k)	$\frac{2}{15}$	$\frac{16}{45}$	$\frac{2}{15}$	$\frac{8}{45}$	$\frac{8}{45}$	$\frac{1}{45}$

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 3 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 3 Hausaufgaben vom Typ 'Jungs' vorhanden sind, muss spätestens im 4-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 4 annehmen.

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

Zufallsgröße X	1	2	3	4
P(X=k)	$\frac{6}{7}$	$\frac{9}{70}$	$\frac{9}{665}$	$\frac{1}{1330}$

Zufallsgröße rückwärts

Beispiel:

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

Zufallsgröße X 2 3 4 5 6

P(X=k) $\frac{1}{1296}$ ? ? ? $\frac{25}{81}$

Lösung einblenden

(Alle Sektoren sind Vielfache
von Achtels-Kreisen)

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

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

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

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

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

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

Aus der Tabelle können wir aber P(X=6) = $\frac{25}{81}$ heraus lesen, also muss gelten:

p3 ⋅ p3 = (p3)² = $\frac{25}{81}$ und somit p3 = $\frac{5}{9}$ .

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

p2 = 1 - p1 - p3 = $1$ $- \frac{1}{36}$ $- \frac{5}{9}$ = $\frac{36}{36}$ $- \frac{1}{36}$ $- \frac{20}{36}$ = $\frac{15}{36}$ = $\frac{5}{12}$

Um nun noch die Mittelpunktswinkel der drei Sektoren zu ermittlen, müssen wir einfach die Wahrscheinlichkeit mit 360° multiplizieren, weil ja für die Wahrscheinlichkeit eines Sektors mit Mittelpunktswinkel α gilt: p = $\frac{α}{360°}$

Somit erhalten wir:

α₁ = $\frac{1}{36}$ ⋅ 360° = 10°

α₂ = $\frac{5}{12}$ ⋅ 360° = 150°

α₃ = $\frac{5}{9}$ ⋅ 360° = 200°

Erwartungswerte

Beispiel:

Ein Spieler darf aus einer Urne mit 4 blauen, 9 roten, 6 grünen und 5 weißen Kugeln eine Kugel ziehen. Erwischt er eine blaue, so erhält er 30€. Bei rot erhält er 8€, bei grün erhält er 16€ und bei weiß erhält er 24€. Wieviel bringt ein Zug durchschnittlich ein?

Lösung einblenden

Die Zufallsgröße X beschreibt den ausbezahlten €-Euro-Betrag.

Erwartungswert der Zufallsgröße X

Ereignis	blau	rot	grün	weiß
Zufallsgröße x_i	30	8	16	24
P(X=x_i)	$\frac{4}{24}$	$\frac{9}{24}$	$\frac{6}{24}$	$\frac{5}{24}$
x_i ⋅ P(X=x_i)	$5$	$3$	$4$	$5$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 30⋅ $\frac{4}{24}$ + 8⋅ $\frac{9}{24}$ + 16⋅ $\frac{6}{24}$ + 24⋅ $\frac{5}{24}$

= $5$ $+$ $3$ $+$ $4$ $+$ $5$
= $17$

Einsatz für faires Spiel bestimmen

Beispiel:

Ein Spieler darf aus einer Urne mit 3 blauen, 9 roten, 8 grünen und 4 weißen Kugeln eine Kugel ziehen. Erwischt er eine blaue, so erhält er 16€. Bei rot erhält er 8€ und bei grün erhält er 15€. Welchen Betrag muss er bei weiß erhalten damit das Spiel fair ist, wenn der Einsatz 14€ beträgt ?

Lösung einblenden

Die Zufallsgröße X beschreibt die Auszahlung.

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

Erwartungswerte der Zufallsgrößen X und Y

Ereignis	blau	rot	grün	weiß
Zufallsgröße x_i	16	8	15	x
Zufallsgröße y_i (Gewinn)	2	-6	1	x-14
P(X=x_i)	$\frac{3}{24}$	$\frac{9}{24}$	$\frac{8}{24}$	$\frac{4}{24}$
x_i ⋅ P(X=x_i)	$2$	$3$	$5$	$\frac{4}{24}$ ⋅ x
y_i ⋅ P(Y=y_i)	$\frac{1}{4}$	$- \frac{9}{4}$	$\frac{1}{3}$	$\frac{4}{24}$ ⋅(x-14)

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) = 14

$\frac{3}{24} \cdot 16 + \frac{9}{24} \cdot 8 + \frac{8}{24} \cdot 15 + \frac{4}{24} x$ = 14

2 + 3 + 5 + \frac{4}{24} x

= 14

$2 + 3 + 5 + \frac{1}{6} x$	=	$14$
$\frac{1}{6} x + 10$	=	$14$	\|⋅ 6
$6 (\frac{1}{6} x + 10)$	=	$84$
$x + 60$	=	$84$	\| $- 60$
$x$	=	$24$

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

E(Y) = 0

\frac{3}{24} \cdot 2 + \frac{9}{24} \cdot (- 6) + \frac{8}{24} \cdot 1 + \frac{4}{24} (x - 14)

= 0

\frac{1}{4} - \frac{9}{4} + \frac{1}{3} + \frac{1}{6} x - \frac{7}{3}

= 0

$\frac{1}{4} - \frac{9}{4} + \frac{1}{3} + \frac{1}{6} x - \frac{7}{3}$	=	0
$\frac{1}{6} x - 4$	=	0	\|⋅ 6
$6 (\frac{1}{6} x - 4)$	=	0
$x - 24$	=	0	\| $+ 24$
$x$	=	$24$

In beiden Fällen ist also der gesuchte Betrag: 24€

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 4€ betragen
• Der minimale Auszahlungsbetrag soll 1€ sein
• Der maximale Auszahlungsbetrag soll soll 8€ 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)	1			8
Y Gewinn (Ausz. - Einsatz)	-3			4
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)	1			8
Y Gewinn (Ausz. - Einsatz)	-3			4
P(X) = P(Y)	$\frac{1}{3}$			$\frac{1}{4}$
Y ⋅ P(Y)	$- 1$			$1$

Die bisherigen Optionen vereinen eine Wahrscheinlichkeit von $\frac{1}{3}$ + $\frac{1}{4}$ = $\frac{7}{12}$
Als Restwahrscheinlichkeit für die verbleibenden Beträge bleibt nun also 1- $\frac{7}{12}$ = $\frac{5}{12}$ .
Diese wird auf die beiden verbleibenden Optionen verteilt:

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	1			8
Y Gewinn (Ausz. - Einsatz)	-3			4
P(X) = P(Y)	$\frac{1}{3}$	$\frac{5}{24}$	$\frac{5}{24}$	$\frac{1}{4}$
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 $\frac{3}{2}$ ) setzt.

	Feld1	Feld2	Feld3	Feld4
X (z.B. Auszahlung)	1	2.5	5.5	8
Y Gewinn (Ausz. - Einsatz)	-3	-1.5	1.5	4
P(X) = P(Y)	$\frac{1}{3}$	$\frac{5}{24}$	$\frac{5}{24}$	$\frac{1}{4}$
Winkel	120	75	75	90
Y ⋅ P(Y)	$- 1$	$- \frac{5}{16}$	$\frac{5}{16}$	$1$

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

E(Y)= -3⋅ $\frac{1}{3}$ + -1.5⋅ $\frac{5}{24}$ + 1.5⋅ $\frac{5}{24}$ + 4⋅ $\frac{1}{4}$

= $- 1$ $- \frac{5}{16}$ $+$ $\frac{5}{16}$ $+$ $1$
= $- \frac{16}{16}$ $- \frac{5}{16}$ $+$ $\frac{5}{16}$ $+$ $\frac{16}{16}$
= $\frac{0}{16}$
= $0$

Erwartungswerte bei 'Ziehen bis erstmals ...'

Beispiel:

Aus einem Kartenstapel mit 2 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: $\frac{1}{2}$

Die Wahrscheinlichkeit für ein 'Herz' im 2-ten Versuch st: $\frac{1}{3}$

Die Wahrscheinlichkeit für ein 'Herz' im 3-ten Versuch st: $\frac{1}{6}$

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)	$\frac{1}{2}$	$\frac{1}{3}$	$\frac{1}{6}$
x_i ⋅ P(X=x_i)	$\frac{1}{2}$	$\frac{2}{3}$	$\frac{1}{2}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 1⋅ $\frac{1}{2}$ + 2⋅ $\frac{1}{3}$ + 3⋅ $\frac{1}{6}$

= $\frac{1}{2}$ $+$ $\frac{2}{3}$ $+$ $\frac{1}{2}$
= $\frac{3}{6}$ $+$ $\frac{4}{6}$ $+$ $\frac{3}{6}$
= $\frac{10}{6}$
= $\frac{5}{3}$

≈ 1.67

Erwartungswerte mit gesuchten Anzahlen im WS-Baum

Beispiel:

Ein Spieler darf aus einer Urne mit 10 blauen und 5 roten Kugeln 3 Kugeln ohne zurücklegen ziehen. Zieht er dabei 3 blaue Kugeln, so erhält er 6561€, bei 2 blauen bekommt er noch 81€, bei einer 9€. Ist gar keine blaue Kugel dabei, erhält er 0€. Welchen Gewinn kann er erwarten?
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Ereignis	P
blau -> blau -> blau	$\frac{24}{91}$
blau -> blau -> rot	$\frac{15}{91}$
blau -> rot -> blau	$\frac{15}{91}$
blau -> rot -> rot	$\frac{20}{273}$
rot -> blau -> blau	$\frac{15}{91}$
rot -> blau -> rot	$\frac{20}{273}$
rot -> rot -> blau	$\frac{20}{273}$
rot -> rot -> rot	$\frac{2}{91}$

Die Wahrscheinlichkeit für 0 mal 'blau' ist: $\frac{2}{91}$

Die Wahrscheinlichkeit für 1 mal 'blau' ist: $\frac{20}{273}$ + $\frac{20}{273}$ + $\frac{20}{273}$ = $\frac{20}{91}$

Die Wahrscheinlichkeit für 2 mal 'blau' ist: $\frac{15}{91}$ + $\frac{15}{91}$ + $\frac{15}{91}$ = $\frac{45}{91}$

Die Wahrscheinlichkeit für 3 mal 'blau' ist: $\frac{24}{91}$

Die Zufallsgröße X beschreibt den ausbezahlten Euro-Betrag.

Erwartungswert der Zufallsgröße X

Ereignis	0	1	2	3
Zufallsgröße x_i	0	9	81	6561
P(X=x_i)	$\frac{2}{91}$	$\frac{20}{91}$	$\frac{45}{91}$	$\frac{24}{91}$
x_i ⋅ P(X=x_i)	$0$	$\frac{180}{91}$	$\frac{3645}{91}$	$\frac{157.464}{91}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 0⋅ $\frac{2}{91}$ + 9⋅ $\frac{20}{91}$ + 81⋅ $\frac{45}{91}$ + 6561⋅ $\frac{24}{91}$

= $0$ $+$ $\frac{180}{91}$ $+$ $\frac{3645}{91}$ $+$ $\frac{157.464}{91}$
= $\frac{0}{91}$ $+$ $\frac{180}{91}$ $+$ $\frac{3645}{91}$ $+$ $\frac{157.464}{91}$
= $\frac{161.289}{91}$

≈ 1772.41

Erwartungswerte mit best. Optionen im WS-Baum

Beispiel:

Ein leidenschaftlicher Mäxle-Spieler möchte eine Mäxle-Spielautomat bauen. Wie beim richtigen Mäxle sollen auch hier zwei normale Würfel gleichzeitig geworfen werden (bzw. dies eben simuliert). Bei einem Mäxle (also eine 1 und eine 2) soll dann 12€ ausbezahlt werden, bei einem Pasch (also zwei gleiche Augenzahlen) 5€ und bei 61-65 also (also ein Würfel 6 und der andere keine 6) noch 2€. Wie groß müsste der Einsatz sein, damit das Spiel fair wird?
(Denk daran, den Bruch vollständig zu kürzen!)

Lösung einblenden

Wahrscheinlichkeiten für die verschiedenen Ausgänge

Ereignis	P
1 -> 1	$\frac{1}{36}$
1 -> 2	$\frac{1}{36}$
1 -> 3	$\frac{1}{36}$
1 -> 4	$\frac{1}{36}$
1 -> 5	$\frac{1}{36}$
1 -> 6	$\frac{1}{36}$
2 -> 1	$\frac{1}{36}$
2 -> 2	$\frac{1}{36}$
2 -> 3	$\frac{1}{36}$
2 -> 4	$\frac{1}{36}$
2 -> 5	$\frac{1}{36}$
2 -> 6	$\frac{1}{36}$
3 -> 1	$\frac{1}{36}$
3 -> 2	$\frac{1}{36}$
3 -> 3	$\frac{1}{36}$
3 -> 4	$\frac{1}{36}$
3 -> 5	$\frac{1}{36}$
3 -> 6	$\frac{1}{36}$
4 -> 1	$\frac{1}{36}$
4 -> 2	$\frac{1}{36}$
4 -> 3	$\frac{1}{36}$
4 -> 4	$\frac{1}{36}$
4 -> 5	$\frac{1}{36}$
4 -> 6	$\frac{1}{36}$
5 -> 1	$\frac{1}{36}$
5 -> 2	$\frac{1}{36}$
5 -> 3	$\frac{1}{36}$
5 -> 4	$\frac{1}{36}$
5 -> 5	$\frac{1}{36}$
5 -> 6	$\frac{1}{36}$
6 -> 1	$\frac{1}{36}$
6 -> 2	$\frac{1}{36}$
6 -> 3	$\frac{1}{36}$
6 -> 4	$\frac{1}{36}$
6 -> 5	$\frac{1}{36}$
6 -> 6	$\frac{1}{36}$

Die Wahrscheinlichkeit für 'Mäxle' ist:

P('1'-'2') + P('2'-'1')
= $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{1}{18}$

Die Wahrscheinlichkeit für 'Pasch' ist:

P('1'-'1') + P('2'-'2') + P('3'-'3') + P('4'-'4') + P('5'-'5') + P('6'-'6')
= $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{1}{6}$

Die Wahrscheinlichkeit für '60er' ist:

P('1'-'6') + P('2'-'6') + P('3'-'6') + P('4'-'6') + P('5'-'6') + P('6'-'1') + P('6'-'2') + P('6'-'3') + P('6'-'4') + P('6'-'5')
= $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ + $\frac{1}{36}$ = $\frac{5}{18}$

Die Zufallsgröße X beschreibt den durch die beiden Würfel ausbezahlten Euro-Betrag.

Erwartungswert der Zufallsgröße X

Ereignis	Mäxle	Pasch	60er
Zufallsgröße x_i	12	5	2
P(X=x_i)	$\frac{1}{18}$	$\frac{1}{6}$	$\frac{5}{18}$
x_i ⋅ P(X=x_i)	$\frac{2}{3}$	$\frac{5}{6}$	$\frac{5}{9}$

Der Erwartungswert verechnet sich aus der Summe der einzelnen Produkte:

E(X)= 12⋅ $\frac{1}{18}$ + 5⋅ $\frac{1}{6}$ + 2⋅ $\frac{5}{18}$

= $\frac{2}{3}$ $+$ $\frac{5}{6}$ $+$ $\frac{5}{9}$
= $\frac{12}{18}$ $+$ $\frac{15}{18}$ $+$ $\frac{10}{18}$
= $\frac{37}{18}$

≈ 2.06

Zufallsgröße X	2	3	4	5	6
P(X=k)	$\frac{1}{1296}$	?	?	?	$\frac{25}{81}$