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In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is `1/3` and the probability that he copies the answer is 1/6. The probability that his answer is correct, given that he copied it, is 1/8. Find the probability that he knew the answer to the question, given that be correctly answered it.

A

`(27)/(29)`

B

`(26)/(29)`

C

`(25)/(29)`

D

`(24)/(29)`

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The correct Answer is:
D
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