*21. Given a choice between A (a sure win of 100) and B (an 80 percent chance to win 150 and a 20 percent chance to win 0), Smith picks A. But when he is given a choice between C (a 50 percent chance to win 100 and a 50 percent chance to win 0) and D (a 40 percent chance to win 150 and a 60 percent chance to win 0), he picks D. Show that Smith’s choices are inconsistent with expected utility maximization.