So if I want two random pairs the script should be
<?php
$array = array('eggs', 'bacon', 'football', 'baseball', 'ford', 'toyota', 'cat', 'dog', 'hello', 'goodbye', 'cute', 'kawaii');
$rand_index = rand(0, count($array) / 2 - 1) * 2;
echo $array[$rand_index] . " " . $array[$rand_index + 1];
$rand_index2 = mt_rand(0, count($array) / 2 - 1) * 2;
echo $array[$rand_index2] . " " . $array[$rand_index2 + 1];
?>