## Craps

A game played with two Dice. If the total is 7 or 11 (a ``natural''), the thrower wins and retains the Dice for another throw. If the total is 2, 3, or 12 (``craps''), the thrower loses but retains the Dice. If the total is any other number (called the thrower's ``point''), the thrower must continue throwing and roll the ``point'' value again before throwing a 7. If he succeeds, he wins and retains the Dice, but if a 7 appears first, the player loses and passes the dice. The probability of winning is (Kraitchik 1942).

References

Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 2, 2nd ed. Princeton, NJ: Van Nostrand, pp. 12-13, 1951.

Kraitchik, M. ``Craps.'' §6.5 in Mathematical Recreations. New York: W. W. Norton, pp. 123-126, 1942.