

 |
 |
 |
 |
 |
 |
 |
 |
 |
 Keno, Lotteries, and the Urn Problem
 |
 |
 |
 |
 |
 |

Organization: | Wolfram Research, Inc. |
Department: | Scientific Information Group |
 |
 |
 |
 |
 |
 |
 2003-04-22
 |
 |
 |
 |
 |
 |
 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.
 |
 |
 |
 |
 |
 |

 |
 |
 |
 |
 |
 |
 Urn, hypergeometric, gambling, keno, bingo, poker, lottery, bridge, cards
 |
 |
 |
 |
 |
 |
 http://mathworld.wolfram.com/HypergeometricDistribution.html
 |
 |
 |
 |
 |
 |

| Urn.nb (25.1 KB) - Mathematica Notebook |
 |
 |
|
 |
 |
 |
 |
| | | |  | |
|