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Suppose that a certain college class contains 58 students. Of these,34 are sophomores, 32 are chemistry majors, and8 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) Given that the student selected is a sophomore, what is the probability that she is also a chemistry major?

Write your responses as fractions.

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