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Logic of Questionable Density
Authors:Charles O Dotson
Institution:University of Maryland , College Park , MD , 20742 , USA
Abstract:Abstract

The probability of winning a game of tennis from scratch in terms of the probability of winning an individual point has been well documented. However, once the game is underway this probability rapidly changes. This paper presents formulas for the conditional probabilities of a player winning a game from any scoreline. Each point is ranked in order of importance with regard to winning the game. A number of interesting and surprising features arise and an area of further research is suggested.
Keywords:conditional probability  probability  sport  tennis
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