Craps principle and formula_29 ; in particular, the probability of a draw is irrelevant. If the game is played repeatedly until someone wins, then the conditional probability above is the probability that the player wins the game. This is illustrated below for the original game of craps, using an alternative proof. If the game being played is craps, then this principle can greatly simplify the computation of the probability of winning in a certain scenario. Specifically, if the first roll is a 4, 5, 6, 8, 9, or 10, then the dice are repeatedly re-rolled until one of two events occurs: Since
Dice tower Dice tower A dice tower is an object used by gamers to roll dice fairly. Dice are dropped into the top of the tower, and bounce off of various hidden platforms inside it before emerging from the front. Dice towers eliminate some methods of cheating which may be performed when rolling dice by hand. There are many forms of towers and they vary in construction and design. Dice towers have been used since at least the fourth century, in an attempt to ensure that dice roll outcomes were random. The Vettweiss-Froitzheim Dice Tower is a surviving example, used by Romans