Suppose that a certain college class contains 50 students. Of these, 30 are freshmen, 24 are mathematics 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 freshman and a mathematics major? (b) Given that the student selected is a mathematics major, what is the probability that he is also a freshman? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) 0 (b) X S

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