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Suppose that a certain college class contains 60 students. Of these,are 37 freshmen, 28 are economics majors, and 10 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a freshman and an economics major?

(b) Given that the student selected is a freshman, what is the probability that he is also an economics major?

Write your responses as fractions.

(If necessary, consult a list of formulas.)

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