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The probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not known 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 conditional probability that the student known the correct answer is
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2 3
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3 4
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5 6
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8 9
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Correct Option: D
Probability = | = | |||||||
{(2 / 3) × 1} + | × | 9 | ||||||
3 | 4 |