Multiple Choice. A student answers a multiple choice examination question that has four possible answers. Suppose that the probability that the student knows the answer to a question is 0.80 and the probability that the student guesses is 0.20. If the student guesses, the probability of guessing the correct answer is 0.25.
(a) What is the probability that the fixed question will be answered correctly?
(b) If it is answered correctly, what is the probability that the student really knew the correct answer?
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