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The probabilities of winning a racquetball doubles match motivate a fairer side-out scoring scheme for singles and team events

Author

Listed:
  • Peters James E.

    (Department of Mathematics, Weber State University, 2517 University Circle, Ogden, UT 84408, USA)

  • Peters Christopher J.

    (Department of Information Technology, University of Utah David Eccles School of Business, Salt Lake City, UT, USA)

Abstract

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.

Suggested Citation

  • Peters James E. & Peters Christopher J., 2019. "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, De Gruyter, vol. 15(1), pages 75-84, March.
    • Handle: RePEc:bpj:jqsprt:v:15:y:2019:i:1:p:75-84:n:2
    DOI: 10.1515/jqas-2018-0085
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