Harry and Ron play a chess match in which the first player to win a game wins the match. After 10 successive draws, the match is declared a draw. Each game is won by Ron with probability 0.4, won by Harry with probability 0.3, and is a draw with probability 0.3, independently of the previous games. (a) What is the probability that Harry will win the match? (b) What is the PMF of the duration of the match?

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A:

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