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In answering a question in a multiple ch...

In answering a question in a multiple choice test a student either knows the answer or guesses. Let `3/4` be the probability that he knows the answer and `1/4` be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability `1/4` . What is the probability that a student knows the answer, given that he answered it correctly ?

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The correct Answer is:
`(12)/(13)`
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