Bayes’ Dice

With regular dice, if you happen to roll a string of ten 7s with two six-sided dice in a row, the next roll still has probability 1/6 of coming up 7. With Bayes’ Dice, each roll takes past rolls into consideration when generating a new roll, which makes them suitable for such games as The Settlers of Catan, where a roll distribution that matches what probability expects will make the game more strategic and less up to the whims of fate.