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    Suppose that a certain college class contains students. Of these, are sophomores, are chemistry majors, and 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 chemistry major?
    b. Suppose that we are given the additional information that the student selected is a sophomore. What is the probability that she is also a chemistry major?
    Give your answers as exact fractions.

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