Probability to win the chess match

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Reference no: EM13124859

Fischer and Spassky play a chess match in which the first player to win wins the match. After 10 consecutive draws, the match is declared drawn. Each game is won by Fischer with a probability of 0.4, is won by Spassky with probability of 0.3, and is a draw with probability of 0.3, independently of the previous games. What is the probability that Fischer wins the match?

Reference no: EM13124859

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