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The probability that a student knows the...

The probability that a student knows the correct answer to a multiple choice question is `2/3`. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is `1/4`. Given that the student has answered the question correctly the probability that the student knows the correct answer is

A

`5/6`

B

`6/7`

C

`7/8`

D

`8/9`

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