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What's Luck Got to Do with It? by Joseph Mazur

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Image Appendix D Image

Glossary of MathematicalDefinitions

Binomial frequency curve

Suppose we have a game with only two outcomes: success and failure. If the probability of success is p and the probability of failure is q, then we know that p + q = 1. Then suppose the game is played n times. There are two possible outcomes on each trial. It is possible for a player to win a few of those n trials and lose a few. If we let k be the number of wins that occur in n trials, we know that the number of different ways those wins can occur is (see combinations). The ...

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