Question
Class 12MathematicsProbability

In a test, an examinee either guesses or copies or knows the answer to a multiple choice question with four choices. The probability that he makes a guess is 1/3 and the probability that he copies the answer is 1/6. The probability that his answer is correct, given that he copied it, is 1/8. Find the probability that he knew the answer to the question, given that he correctly answered it.

Verified Answer

Let E1, E2, E3 and A be the events defined as follows:

E1 = the examinee guesses the answer, E2 = the examinee copies the answer, E3 = the examinee knows the answer, and A = the examinee answers correctly. 

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