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
Craps table, the shooter will usually be asked to select another die from the remaining three but can request permission to use the same die if it passes the boxman's inspection. This requirement exists to keep the game fair and reduce the chance of loaded dice. There are many local variants of the calls made by the stickman for rolls during a craps game. These often incorporate a reminder to the dealers as to which bets to pay or collect. Rolls of 4, 6, 8, and 10 are called "hard" or "easy" (e.g. "six the hard way", "easy eight", "hard ten")