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In answering a question on a multiple ch...

In answering a question on a multiple choice test a student either knows the answer or gueses . 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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