Simple Monte Carlo Simulation of rolling two regular dice. Shows visual results in shell. Shows clear central tendency. The problem stated here http://www.goldsim.com/Web/Introduction/Probabilistic/MonteCarlo/

rolling_2dice_montecarlo.php

<?php
$simulations = 10000;
$dicesides = 6;
$count = Array();
for($i=0; $i<$simulations; $i++) {
	$x = mt_rand(1,$dicesides);
	$y = mt_rand(1,$dicesides);
	@$count[$x+$y]++;
}

for($i=2;$i<= 2 * $dicesides;$i++){
	$prob = $count[$i]/$simulations;
	$size=str_pad('',$prob*200,'=');
	echo "P($i)\t=\t". $prob ."\t". $size ."\n";
}