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![](/common/images/spacer.gif) Keno, Lotteries, and the Urn Problem
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Organization: | Wolfram Research, Inc. |
Department: | Scientific Information Group |
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![](/common/images/spacer.gif) 2003-04-22
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![](/common/images/spacer.gif) 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.
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![](/common/images/spacer.gif) Urn, hypergeometric, gambling, keno, bingo, poker, lottery, bridge, cards
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![](/common/images/spacer.gif) http://mathworld.wolfram.com/HypergeometricDistribution.html
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| Urn.nb (25.1 KB) - Mathematica Notebook |
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