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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 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?

Text Solution

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