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In an examination of 10 multiple choice questions (1 or more can be correct out of 4 options). A student decides to mark the answers at random.

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In an examination of 10 multiple choice questions (1 or more can be correct out of 4 options). A student decides to mark the answers at random. Find the probability that he gets exactly two questions correct.

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A student can mark 15 different answers to a MCQ with 4 option i.e. 4C1 + 4C2 + 4C3 + 4C4 = 15 

Hence if he marks the answer at random, chance that his answer is correct = 1/15 and being in correcting 14/15.

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