Let's denote a lottery as (X₁, P₁; X2, P2; ; Xm, Pm), where Xi and Pi indicate the reward magnitude = and probability of each potential outcome. A decision-maker prefers B ($5000, 1.00) to A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers C = ($25000, 0.04; $0, 0.96) to D = ($5000, 0.05; $0, 0.95). Prove that Expected Utility Theory cannot account for the preference. Note: you can assume that the initial endowment is $0 and the utility of $0 is zero.