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In answering a question on a multiple-choice test, Emily either knows the answer or guesses. Suppose that she knows the answer with probability 0.5. Assume

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In answering a question on a multiple-choice test, Emily either knows the answer or guesses. Suppose that she knows the answer with probability 0.5. Assume that each question has 5 multiple choice alternatives, so the chance that she guesses correctly is 1/5. (a) What is the conditional probability that Emily knew the answer to a question given that she answered it correctly? (9 marks)

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