Question

A double fault in tennis is when the serving player fails to land their serve "in" without stepping on or over the service line in two chances. Kelly's first serve percentage is 40%, while her second serve percentage is 70%. What is the probability that Kelly will double fault?

Solution

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Based on the tree diagram, shown again below, PP(fault,fault) = 0.18 so the probability she will double fault is 18%.

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