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

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In answering a question on 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 the student knows the answer given that he answered it correctly ?

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