Consider the following normal form game: L R A 1, -1 1, 10 B 4, 20 -1, 0 C -1, -2 5,0Part a: [5 13753] What is expected utility to player 1 given the mixed strategy prole in which player 1 plays the mixed strategy 01 : (1/2, 1/4, 1/4) and 02 : (2/3,1/3)?1 Part I): [5 pts/ Does either B or C strictly dominate A? Explain Why or Why not. 1Here (1 / 2, 1 / 4, 1/4) represents a mixed strategy in which player 1 plays A With probability 1 / 2, B With probability 1/4, and C With probability 1/4. Similarly (2/ 3, 1 / 3) represents a mixed strategy in Which player 2 plays L With probability 2/3 and R with probability 1 / 3. Part c: [10 pts/ Does the mixed strategy 01 = (1 /2, 1 /4, 1/4) strictly dominate A? Explain why or why not. Part d: [10 19753] Is there any mixed strategy 02 that player 2 can play for which 01 : (1/2, 1/4, 1/4) will be better than A for player 1? In other words is there any mixed strategy 02 for which u1((1/2,1/4,1/4),02) > u1(A,02)? Explain. How does this relate to your answer from part 0? Given your answer in this part, would it ever be rational for player 1 to play A