I enjoyed this perspective and it changed my thinking, you&#x27;ve convinced me.  It&#x27;s also unlikely that humans can keep track of the distribution of 120 numbers on a die (in any distribution) so even if the game the cheater is playing is &quot;Pick 20 numbers, then roll.  If you roll any of the 20 you win&quot; it is unlikely that they can remember what the die looks like well enough to cheat - except perhaps after massive effort.  Fair enough :)