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Suppose that a certain college class contains 45 students. Of these, 28 are seniors, 28 are physics 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 senior and a physics major?
(b) Given that the student selected is a senior, what is the probability that he is also a physics major?
(c) Write your responses as fractions.
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