Suppose that a certain college class contains   52 students. Of these,   29 are juniors,   33 are chemistry majors, and   7 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a chemistry major? (b) Given that the student selected is a chemistry major, what is the probability that he is also a junior? Write your responses as fractions. (If necessary, consult a list of formulas.)

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