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In a multiple-choice test, either a student knows the answer or guesses. Let 2/3 be the...

In a multiple-choice test, either a student knows the answer or guesses. Let 2/3 be the probability that a student knows the answer, if he takes a guess, the answer will be correct with the probability of 1/4 since there are 4 multiple-choice alternatives. Given that a question is answered correctly, what is the probability that he knows the answer.

A 1/3

B 4/9

C2/3

D 8/9

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