Using loaded dice to cheat at Settlers of Catan, and p-values to avoid suspicion
By this analysis, you can average between 5 and 15 more resources over the course of the game vs unloaded dice, and then goes on to show that there aren&#x27;t enough dice rolls in a game to prove the dice are loaded.<p>The problem here is that you don&#x27;t get the expected number of resources in every game, and there&#x27;s no analysis of the variance.  I suspect that the result of insignificance is correct, in that this &quot;cheat&quot; provides such a slight advantage that it won&#x27;t materially affect a single game.  By the time you&#x27;ve played enough games to reliably use the advantage, your opponents will have seen enough die rolls to show their bias.