Problem 2. Yin and Yang play table tennis. For each point one of the players serves. The winner of a point becomes the server of the next point. Suppose that Yin wins each point she serves with probability p, and wins each point that Yang serves with probability q. (a) Find the proportion of points that are won by Yin (b) Find the proportion of time that the server swaps.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 2. Yin and Yang play table tennis. For each point one of the players serves. The winner of a
point becomes the server of the next point. Suppose that Yin wins each point she serves with probability p,
and wins each point that Yang serves with probability q.
(a) Find the proportion of points that are won by Yin
(b) Find the proportion of time that the server swaps.
Transcribed Image Text:Problem 2. Yin and Yang play table tennis. For each point one of the players serves. The winner of a point becomes the server of the next point. Suppose that Yin wins each point she serves with probability p, and wins each point that Yang serves with probability q. (a) Find the proportion of points that are won by Yin (b) Find the proportion of time that the server swaps.
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