Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 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 sophomore and a chemistry major?

(b) Given that the student selected is a chemistry major, what is the probability that he is also a sophomore?

(a) What is the probability that the student is both a sophomore and a chemistry major?

(b) Given that the student selected is a chemistry major, what is the probability that he is also a sophomore?

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