Suppose that a certain college class contains 41 students. Of these, 25 are juniors, 27 are history 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 history major.   b) Given that the student selected is a junior, what is the probability that he is also a history major.   Write your responses as fractions

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