Question 879665: Matt Cronin, a tennis analyst, has a rate of 0.125 for predicting the wrong
winner of a tennis match. In a Grand Slam tournament there are 120 matches
prior to quarter-final (64 matches in the 1st round, 32 matches in the 2nd
round, 16 matches in the 3rd round and 8 matches in the 4th round). Calculate
the probability that he predicted the winner:
(i) correctly in more than 12 matches in the 3rd round
(ii) wrongly in between 12 and 24 matches in the 1st round.
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website! p(picking loser) = .125, p (picking winner) = .875
(i) correctly in more than 12 matches in the 3rd round: P= 1- binomcdf(16, .875, 12)
(ii) wrongly in between 12 and 24 matches in the 1st round.
binomcdf(64, .125, 24) - binomcdf(64, .125, 12)
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