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.
No takes yet. Share an insight, caveat, or question.
Donald Watson (1970) studied this question.