3.3.6 Two teams, A and B, are to play a best of seven series of games. Suppose...
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3.3.6 Two teams, A and B, are to play a best of seven series of games. Suppose that the outcomes of successive games are independent, and each is won by A with probability p and won by B with probability 1????p. Let the state of the system be represented by the pair .a;b/, where a is the number of games won by A, and b is the number of games won by B. Specify the transition probability matrix. Note that aCb 7 and that the entries end whenever a D 4 or b D 4.
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An Introduction To Stochastic Modeling
ISBN: 9780233814162
4th Edition
Authors: Mark A. Pinsky, Samuel Karlin
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