on and conditional probability Suppose that a certain college class contains 62 students. Of these, 35 are sophomores, 36 are social scienoe majors, and 11 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 social science major? {b} Given that the student selected is a social science major, what is the probability that she is also a sophomore? Write your responses as fractions. (If necessary, consult a list of formulas.) LE9 Id (a) I] (b) I] n ||_I IE Kl