In a multiple choice exam, a question has two answers, only one of which is correct. Suppose

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In a multiple choice exam, a question has two answers, only one of which is correct. Suppose 80% of students know the answer, and those who do not know choose an answer at random.

(a)What is the probability that a student chosen at random will answer the question correctly?

(b) Suppose a student has answered the question correctly. What is the probability that she/he was just guessing?

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