Suppose that a certain college class contains 36 students. Of these, 19 are seniors, 23 are history majors, and 10 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a senior and a history major? (b) Given that the student selected is a history major, what is the probability that he is also a senior? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) 0 ( b) I X 5