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Suppose that a certain college class contains 54 students. Of these, 24 are juniors, 34 are economics majors, and 9 are neither. A student is

Suppose that a certain college class contains 54 students. Of these, 24 are juniors, 34 are economics majors, and 9 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a junior and an economics major?

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

Write your responses as fractions.

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