Probability question: If the probability that a certain tennis player will serve an ace is...
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Probability question: If the probability that a certain tennis player will serve an ace is...

[From: ] [author: ] [Date: 12-04-15] [Hit: ]
= 0.Not sure where you got 2 from?-The probability of exactly 3 aces,(3/14)^3 (11/14)^5 = .......
If the probability that a certain tennis player will serve an ace is 3/14, what is the probability that he will serve exactly 3 aces out of 8 serves?
I believe 0.005892 is the answer but not right apparently...
Thank you in advance

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This is a binomial distribution:

P(exactly 3 aces out of 8 serves)
= C(8,3) * (3/14)^3 * (11/14)^5
= 56 * (3/14)^3 * (11/14)^5
= 0.165002655


Your answer seems to be 2 * (3/14)^3 * (11/14)^5
Not sure where you got 2 from?

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The probability of exactly 3 aces, also means exactly 5 non aces in 8 serves

(3/14)^3 (11/14)^5 = .002946476
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