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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:
`P(E_(1)//A) = (3)/(cancel4) xx (cancel16)/(13) = 12/13`
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