John plays chess with Peter until the first win but no more than 4 times. Construct the distribution law and find the expected value for the number of sets if in each of them the probability that Peter wins is three times as large as the probability of John winning. Draws are not counted. (The answer is the expected value)

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 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Probability theory
John plays chess with Peter until the first win but no more than 4 times. Construct the distribution law and find the expected value for the number of sets if in each of them the probability that Peter wins is three times as large as the probability of John winning. Draws are not counted. (The answer is the expected value)
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