Question: In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let p = 0.7 be the probability that the

In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let p = 0.7 be the probability that the student knows the answer so that q = 0.3 is the probability that the student guesses. Assume that a student who guesses the answer will be correct with probability 0.2. What is the conditional probability that a student knew the answer to a question, given that he or she answered it correctly?

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