In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question which has four choices. The probability that he makes a guess is 1/3, and the probability that he copies is 1/6. The probability that his answer is correct, given he copied it, is 1/8, and the probability that his answer is correct, given he guessed it is 1/4. Find the probability that he knew the answer to the question, given that he answered it correctly.

In a test, an examinee either guesses or copies or knows that answer t

1.	In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question which has four choices. The probability that he makes a guess is 1/3, and the probability that he copies is 1/6. The probability that his answer is correct, given he copied it, is 1/8, and the probability that his answer is correct, given he guessed it is 1/4. Find the probability that he knew the answer to the question, given that he answered it correctly.
Answer» Thus, the probability that he knew the answer to the question, given that he answered it correctly is 24/29. We will be using Baye's Theorem to find the probability.