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In a test a candidate may have answered ...

In a test a candidate may have answered a question in 3 ways. The question is a multiple choice question with 4 choices one of which is the correct answer. He might have guessed the answer for which the probability is 1/3. He might have copied the answer for which the probability is 1/6. He might have known the answer. If he copied the answer the probability that his answer is correct is 1/8. Find the probability that he knew the answer given that he correctly answerd it.

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The correct Answer is:
`(24)/(29)`
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