On Scoring in Games

Author:

Watson Donald

Abstract

The purpose of this paper is to consider the question: if p is the probability that a player P will win a given rally against a player Q, what is the probability that P will win a given game? The answer, of course, depends upon the method of scoring; and the methods considered here will be those used in squash and, for comparison table tennis.In table tennis P earns a point each time that he wins a rally. But in squash he must serve the rally that he wins in order to gain a point; and he relinquishes the service when he loses a rally that he serves.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference2 articles.

1. The luck of the toss in squash rackets;ApSimon;Mathematical Gazette,1951

2. 2697. Squash Chances

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1. Sports, Scoring Systems in;Wiley StatsRef: Statistics Reference Online;2014-11-17

2. A stochastic approach to predicting competition squash match‐play;Journal of Sports Sciences;1994-12

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4. Comparison of North American and International Squash Scoring Systems—Analytical Results;Research Quarterly. American Alliance for Health, Physical Education, Recreation and Dance;1979-12

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