In a tennis match, on a given point, the player who is serving has two chances to hit the ball in play. The ball must fall in the correct marked box area on the opposite side of the net. A serve that misses the box is called a fault. Most players hit the first serve very hard, resulting in a fair chance of making a fault. If they do make a fault, they hit the second serve less hard and with some spin, making it more likely to be successful. Otherwise, with two misses - a “double fault”- they lose the point. The 2006 men’s champion in the Wimbledon tennis tournament was Roger Federer of Switzerland. During the tournament he made 56% of his first serves. So, hefaulted on the first serve 44% of the time. Given that he made a fault on his first serve, he made a fault on his second serve only 2% of the time. Assuming these are typical of his serving performance, when he serves, what is the probability that he makes a double fault?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 19E: If the spinner shown below is spun, find the probability of each event. Assume that the spinner...
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In a tennis match, on a given point, the player who is serving has two chances to hit the ball in play. The ball must fall in the correct marked box area on the opposite side of the net. A serve that misses the box is called a fault. Most players hit the first serve very hard, resulting in a fair chance of making a fault. If they do make a fault, they hit the second serve less hard and with some spin, making it more likely to be successful. Otherwise, with two misses - a “double fault”- they lose the point. The 2006 men’s champion in the Wimbledon tennis tournament was Roger Federer of Switzerland. During the tournament he made 56% of his first serves. So, he
faulted on the first serve 44% of the time. Given that he made a fault on his first serve, he made a fault on his second serve only 2% of the time. Assuming these are typical of his serving performance, when he serves, what is the probability that he makes a double fault?

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