3 PROBABILITY Intersection and conditional probability Ke Suppose that a certain college class contains 40 students. Of these, 21 are freshmen, 25 are social science 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 freshman and a social science major? (b) Given that the student selected is a social science major, what is the probability that he is also a freshman? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) 0 (b ) D X