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Suppose that a certain college class contains 58 students. Of these, 25 are sophomores,34 are history majors, and 11 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 history major, what is the probability that she is also a sophomore?

Write your responses as fractions.

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