A player serving in tennis has two chances to get a serve into play. If the first serve is out, the player serves again. If thesecond serve is also out, the player loses the point. Observe the probabilities based on four years of theWimbledon Championship.P(1st serve in) = 0.59P(win point | 1st serve in) = 0.73%3DP(2nd serve in | 1st serve out) = 0.86P(win point | 1st serve out and 2nd serve in) = 0.59%3DMake a tree diagram for the results of the two serves and the outcome, win or lose, of the point. The branches in your treehave different numbers of stages depending on the outcome of the first serve.What is the probability that the serving player wins the point? Report your answer to four decimal places.second serve in0.59first serve in server wins pointsecond serve outAnswer Bankserver loses point0.730.590.86first serve outserver wins pointprobability that server wins =

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Asked Dec 12, 2019
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A player serving in tennis has two chances to get a serve into play. If the first serve is out, the player serves again. If the
second serve is also out, the player loses the point. Observe the probabilities based on four years of the
Wimbledon Championship.
P(1st serve in) = 0.59
P(win point | 1st serve in) = 0.73
%3D
P(2nd serve in | 1st serve out) = 0.86
P(win point | 1st serve out and 2nd serve in) = 0.59
%3D
Make a tree diagram for the results of the two serves and the outcome, win or lose, of the point. The branches in your tree
have different numbers of stages depending on the outcome of the first serve.
What is the probability that the serving player wins the point? Report your answer to four decimal places.
second serve in
0.59
first serve in
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A player serving in tennis has two chances to get a serve into play. If the first serve is out, the player serves again. If the second serve is also out, the player loses the point. Observe the probabilities based on four years of the Wimbledon Championship. P(1st serve in) = 0.59 P(win point | 1st serve in) = 0.73 %3D P(2nd serve in | 1st serve out) = 0.86 P(win point | 1st serve out and 2nd serve in) = 0.59 %3D Make a tree diagram for the results of the two serves and the outcome, win or lose, of the point. The branches in your tree have different numbers of stages depending on the outcome of the first serve. What is the probability that the serving player wins the point? Report your answer to four decimal places. second serve in 0.59 first serve in

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server wins point
second serve out
Answer Bank
server loses point
0.73
0.59
0.86
first serve out
server wins point
probability that server wins =
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server wins point second serve out Answer Bank server loses point 0.73 0.59 0.86 first serve out server wins point probability that server wins =

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Expert Answer

Step 1

Given data

P(1st Serve in) = 0.59

P(Win point| 1st serve in) = 0.73

P(2nd serve in | 1st serve out) = 0.86

P(Win point| 1st serve out and 2nd serve in) = 0.59

Drawing a tree diagram and all the given data is shown in tree diagram

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Win point = 0.73 Serve in 0.59 Lose point = 0.27 1st serve Win =0.59 Serve in 2nd 0.86 Serve out 0.41 serve Loss Serve out = 0.41 =0.14

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Step 2

Probability that the serving player wins the point is given by

= P(Win) = P(1st serve in) x P(win 1st serve in ) + P(1St serve out) x P(2nd serve in) x P(Win | ...

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