Suppose that a study of 900 college graduates 25 years after graduation revealed that 300 were "successes," 300 had studied probability theory in college, and 100 were both "successes" and students of probability theory. Find, for k = 0, 1, 2, the number of persons in the group who had done of these two things: (i) exactly k, (ii) at least k, (iii) at most k.