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Suppose that a certain college class contains 55 students. Of these, 31 are sophomores, 28 are history majors, and 6 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a sophomore and a history major?
(b) Given that the student selected is a sophomore, what is the probability that he is also a history major? Answer inn fractions.
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