SOLUTION: Please help me solve this question:Two men and three women are in a tournament. Those of the same sex have equal probabilities of winning, but each man is twice as likely to win as

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Question 874935: Please help me solve this question:Two men and three women are in a tournament. Those of the same sex have equal probabilities of winning, but each man is twice as likely to win as any women. Find the probability that a woman wins the tournament.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(man winning) = 2/3, p(woman winning) = 1/3 , n = 5: 2M, 3W
P(W winning) = P(2M and 2W losing and 1W winning) = %281%2F3%29%281%2F3%29%282%2F3%29%282%2F3%29%281%2F3%29