biasedMonty

biasedMonty.php

<?php

$results = array();
$wrongs = array();

for ($i = 0; $i < 100000; $i++) {
    $result[$i] = mt_rand(1,3);
    $wrongs[$i][0] = ($result[$i] - 1 == 0) ? 3 : $result[$i] - 1;
    $wrongs[$i][1] = 6 - $result[$i] - $wrongs[$i][0];
}


$JackResults = 0;
$BobResults = 0;

for ($i = 0; $i < 100000; $i++){
    $jackChoice = $bobChoice = mt_rand(1,3);
    // jack never switches, let's see if he was right !
    if($jackChoice == $result[$i]) ++$JackResults;

    // since the dealer will always show a wrong, and bob will always switch, we can assume that if bob did not win first, 
    // he will when he switches
    // bob always switches, let's see if he was right !
    if($bobChoice !== $result[$i]) ++$BobResults;
}

echo "<br/>Jack never switches, nb good answers : " . $JackResults;
echo "<br/>Bob always switches, nb good answers : " . $BobResults;



?>