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Keno, Lotteries, and the Urn Problem
Author

Ed Pegg
Organization: Wolfram Research, Inc.
Department: Scientific Information Group
Revision date

2003-04-22
Description

An Urn has 10 good balls, and 70 bad balls. 20 balls are drawn at random. What are the odds that exactly 6 of them are good?

The above question is a classic Urn problem, which can be solved via the hypergeometric distribution function. It's a short piece of Mathematica code. An analysis of the fairness of various gambling games (poker, keno, bingo, and the lottery) is given.
Subjects

*Mathematics > Probability and Statistics
*Mathematics > Recreational Mathematics
Keywords

Urn, hypergeometric, gambling, keno, bingo, poker, lottery, bridge, cards
URL

http://mathworld.wolfram.com/HypergeometricDistribution.html
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Urn.nb (25.1 KB) - Mathematica Notebook