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
Game they instead are the central indicator of the person's standing in the game. Popular dice games include "Yahtzee", Farkle, Bunco, Liar's dice/Perudo, and Poker dice. As dice are, by their very nature, designed to produce apparently random numbers, these games usually involve a high degree of luck, which can be directed to some extent by the player through more strategic elements of play and through tenets of probability theory. Such games are thus popular as gambling games; the game of Craps is perhaps the most famous example, though Liar's dice and Poker dice were originally conceived of as gambling games.