Fischer and spassky play a chess match in which the first player to win a game wins the match. after 10 successive draws, the match is declared drawn. each game is won by fischer with probability 0.40.4 , is won by spassky with probability 0.30.3 , and is a draw with probability 0.30.3 , independent of previous games. what is the probability that fischer wins the match? what is the pmf of the duration of the match?