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Suppose that a certain college class contains 41 students. Of these, 27 are sophomores, 19 are biology majors, and 7 are neither. A student is

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Suppose that a certain college class contains 41 students. Of these, 27 are sophomores, 19 are biology majors, and 7 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 biology major? (b) Given that the student selected is a biology major, what is the probability that she is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) [l (b) [l

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