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Chuck-a-Luck


A gambling game played at carnivals in which a player may bet on any one of the numbers 1 through 6. Three dice are then rolled and, if his number appears, he receives back a multiple of his original stake equal to the number of dice on which it appears plus the original stake. Otherwise, he loses his stake. The expected loss per roll is then given by

 (120)/(216)×0+(90)/(216)×1/6+6/(216)×2/6=(17)/(216) approx 0.079.

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References

Mosteller, F. "Chuck-a-Luck." Problem 6 in Fifty Challenging Problems in Probability with Solutions. New York: Dover, pp. 2 and 20-21, 1987.

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Chuck-a-Luck

Cite this as:

Weisstein, Eric W. "Chuck-a-Luck." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Chuck-a-Luck.html

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