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Earlier we read how tennis players are often more aggressive on their first serves. Because they are more likely to win a point with an

Earlier we read how tennis players are often more aggressive on their first serves. Because they are more likely to win a point with an aggressive serve, should tennis players serve just as aggressively on their second serve? Based on data from the top 50 ranked men in professional tennis, the win probability on a point when using a traditional second serve is 0.524. If an aggressive second is used, the win probability increases to 0.736 if the serve lands in bounds. However, if the aggressive second serve lands out of bounds, the server double faults and the win probability for that point decreases to 0.

Express the provided information using probability notation.

1. P(successful second serve) =

2. P(win point I successful second serve) =

3. P(win point I unsuccessful second serve) =

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