SOLUTION: Indian cricket team losses twice as often as it wins. What is the probability that in 5 next matches, India wins 3 matches?

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Question 1192379: Indian cricket team losses twice as often as it wins. What is the probability that in 5 next matches, India wins 3 matches?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


P(win) = 1/3
P(lose) = 2/3

The probability of winning 3 and losing 2 in any particular order is %28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29

The number of different orders in which they can win 3 and lose 2 is C(5,3).

So the probability that they win 3 of 5 matches is C%285%2C3%29%2A%28%281%2F3%29%5E3%29%2A%28%282%2F3%29%5E2%29