<?php
    function cai_bolinha($linhas) {
        $sorteio = mt_rand() % (1 << $linhas);
        return substr_count(decbin($sorteio), '1');
    }
 
    $linhas = 15;
    $bolinhas = 100000;
 
    $casas = [];
    for ($i = 0; $i <= $linhas; $i++) {
        $casas[$i] = 0;
    }
 
    for ($i = 0; $i < $bolinhas; $i++) {
        $casa_resultante = cai_bolinha($linhas);
        $casas[$casa_resultante]++;
    }
 
    for ($i = 0; $i <= $linhas; $i++) {
        echo $i . "->" . $casas[$i] . "\n";
    }
?>

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