Fischer and spassky play a sudden-death chess match whereby, 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) given the fact that the match holds for 5 games , witch is the probability of fisher to win the match.
(c) given the fact that the match holds for 5 games , witch is the probability of fisher to win the first game.
(d) given the fact that Fischer wins the match , witch is the propability tha his won the match in six'th game.

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