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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