Imagine that you are confronted with two pairs of lotteries over the following three outcomes: x=$2.5 million, y= $.5 million, and z=$0. The first pair pits P1 against P2, where P1= (P1 (X), P1 (Y), P1(Z) )= (0,1,0) and P2= (P2 (X), P2 (Y), P2 (Z)0= (0.10, 0.89, 0.01). The second pair is a choice between P3= (P3 (X), P3 (Y), P3(Z))= (0, 0.11, 0.89) and P4= (P4(X), P4(Y),P4 (Z))= (0.10, 0, 0.90). Empirically, most individuals express a strict preference for P1 to P2 and P4 to P3. Is this behavior consistent with the theory of expected utility? In order to solve this problem, rephrase each of the expressed opinions in terms of expected utility (e.g., EU (P3) = 0u(x)+ 11u(y)+0.89u(z)) and then use basic operations on the resulting inequalities to see if a contradiction emerges.No knowledge of the actual utility function is necessary to solve this problem. See how you do on this problem.

-please help me and show me how you arrived at the answer