What is the probability that a 60% free throw shooter has a streak of making exactly 3 consecutive shots in 5 attempts?
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What is the probability that a 60% free throw shooter has a streak of making exactly 3 consecutive shots in 5 attempts? Please help,I'm getting 39% but I dont know if that's ...show more
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Answer:
think about it reasonably the probability of the first 3 being in is .6 x .6 x .6 x .4 x .4 now, how many ways can it happen?? well, he can get middle three in, so .4 x .6 x .6 x .6 x .4 and he can get the last three in: .4 x .4 x 6 x .6 x ,6 that is 3 x .6^3 x .4^2 = 3 x .216 x .16 = .10 always tony note: this is a DIFFERENT problem than getting ANY 3 out of 5 which would be 5 C 3 x .216 x .16 = 10 x .216 x .16 = .346
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