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
Liar's dice been re-rolled. The genre has its roots in South America, with games there being known as Dudo, Cachito, Perudo or Dadinho; other names include "pirate's dice," "deception dice" and "diception." The drinking game version is sometimes called "Mexicali" or "Mexican" in the United States; the latter term may be a corruption of "Mäxchen" ("Little Max"), the name by which a similar game, Mia, is known in Germany, while Liar's dice is known in Germany as "Bluff". It is known by various names in Asia. Five dice are used per player with dice cups used for concealment. Each round, each player