4. Serena Williams serves. In her loss in the 2019 Wimbledon finals (against Simona Halep),...

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4. Serena Williams serves. In her loss in the 2019 Wimbledon finals (against Simona Halep), Serena Williams made 32 of her 47 first serves and committed one double fault.
a. Find the probability that her first serve is good.
b. Find the conditional probability of double faulting, given that her first serve resulted in a fault.
c. On what percentage of her service points does she double fault?

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