Two tennis players are having a match. Player A makes a successful serve with 0.9 probability. The chance of player B scoring a point when player A makes a successful serve has a probability of 0.3. What is the probability of player A winning a point when he/she has served successf

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Two tennis players are having a match. Player A makes a successful serve with 0.9 probability. The chance of player B scoring a point when player A makes a successful serve has a probability of 0.3. What is the probability of player A winning a point when he/she has served successfully? 

Expert Solution
Step 1

Let us define the events,

A: Player A makes a successful serve with 0.9 probability.

B: Player B scoring a point.

From the given information,

P(A)=0.9

P(B|A)=0.3

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