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Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.

(a) What is the probability that the student is both a sophomore and a science major?
(b) Given that the student selected is a sophomore, what is the probability that she is also a social science major?

 

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