In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question that has 4 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. Find the probability that he knew the answer to the question, given that he answered it correctly.
1
21/29
2
19/29
3
24/29
4
23/29