MHT CET Mathematics question

MathematicsProbabilityMHT CET

A student answers a multiple choice question with alternatives, of which exactly one is correct. The probability that he knows the correct answer is , . If he does not know the correct answer, he randomly ticks one answer. Given that he has answered the question correctly, the probability that he did not tick the answer randomly, is

Answer: (C)

Solution

Let = knows the answer (, correct with probability ) and = does not know (, correct with probability

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Question ID VK-027662