Craps

A game played with two Dice. If the total is 7 or 11 (a ``natural''), the thrower wins and retains the Dice foranother throw. If the total is 2, 3, or 12 (``craps''), the thrower loses but retains the Dice. If the total is any othernumber (called the thrower's ``point''), the thrower must continue throwing and roll the ``point'' value again before throwinga 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.

• Bessel's Correction
• Bessel's Finite Difference Formula
• Bessel's First Integral
• Bessel's Formula
• Bessel's Inequality
• Bessel's Interpolation Formula
• Bessel's Second Integral
• Bessel's Statistical Formula
• Beta
• Beta Distribution
• Beta Function
• Beta Function (Exponential)
• Beta Prime Distribution
• Bethe Lattice
• Betrothed Numbers
• Betti Group
• Betti Number
• Bezout Numbers
• Bezout's Theorem
• Bhargava's Theorem
• Bhaskara-Brouckner Algorithm
• Bianchi Identities
• Bianchi Identities (Contracted)
• Biased
• Bias (Estimator)