Fischer and spassky play a sudden-death chess match, Ask an Expert

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Fischer and Spassky play a sudden-death chess match whereby the first player to win a game wins the match. Each game is won by Fischer with probability p, by Spassky with probability q, and is a draw with probability 1 - p - q.

(a) What is the probability that Fischer wins the match?
(b) What is the PMF, the mean, and the variance of the duration of the match?

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Category:- Statistics and Probability
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