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 notation on both dice may be interpreted as either 0 or 100, depending on the game rules. The "d1000" (using three 10-sided dice) is occasionally also seen, although it is more common in wargames than role-playing games. A number of notational strategies exist for discarding only certain types of results. Some games extend the standard notation to A"d"X"(k"Y")+"B where, in addition to the above, Y is the number of dice kept (k) from the roll. Whether the dice omitted are the highest, lowest, or the player's choice depends on the game in question. 7th Sea and Legend of the Five Rings