please, help me with b and c

Show that there is a correlated equlibrium in which player 3 chooses Y and player 1 and 2 plat TL and BR with equal probabilities.

5. Consider the following three player game in which P1 choosa the row, P2 chooses the oolunin, and P3 chooses the matrix. L R L R L R T 0,0,3 0,0,0 T 2,2,2 0,0,0 T 0,0,0 0,0,0 3 1,0,0 0,0,0 B 0,0,0 2,2,2 B 0,1,0 0,0,2 X Y z (a) Find the pure strategy NE and list the payoffs for each. (b) Show that there is a correlated equilibrium in which P3 chooses Y and P1 and P2 play,r (T;L) and (B; R) with equal probabilities. (c) Explain the sense in which P3 prefers not to have the information that PI and P2 use to coordinate their actions in this correlated equilibrium