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The probabilities of winning a racquetball doubles match motivate a fairer side-out scoring scheme for singles and team events
Journal of Quantitative Analysis in Sports ( IF 1.1 ) Pub Date : 2019-02-25 , DOI: 10.1515/jqas-2018-0085
James E. Peters 1 , Christopher J. Peters 2, 3
Affiliation  

We explore the probabilities of winning a best-of-three doubles racquetball match given the probabilities that each of the participants wins a point while serving. We restrict our attention to the cases where these probabilities are between 0.4 and 0.6 for all participants; in other words, the cases where all of the players are moderately evenly matched. In doing so, we find it sensible to suggest changes to the side-out scoring schemes in singles and in team events. These changes would cause each game played to be more fair while preserving the fairness of a match, for which there seems to be adequate impetus.

中文翻译:

赢得壁球双打比赛的可能性激发了针对单打和团体比赛的更加公平的局外计分方案

考虑到每个参与者在服役中赢得一分的可能性,我们探讨了赢得三双最好的壁球比赛的可能性。我们将注意力集中在所有参与者的概率在0.4到0.6之间的情况下;换句话说,所有玩家都适度地平均匹配的情况。通过这样做,我们发现建议对单打和团体比赛中的局外得分方案进行更改是明智的。这些变化将使每场比赛更加公平,同时又保留了比赛的公平性,为此似乎有足够的动力。
更新日期:2019-02-25
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