Need help with part b, I know the answer to part a is bbb and rrr

6. Abu, Ben, and Cali each have the same blue (17) and red (r) Tshirts. They choose their shirts independently but derive satisfaction from conformity. If all three wear the same color shirt, they get a satisfaction of 2 each; if any two wear the same color shirt, they each receive a payoff of 1, and the remaining person gets 0. Fill in the payoffs in the matrices below: (a) Find all pure strategy Nash equilibria in this game. (b) Find a mixed strategy Nash equilibrium where everyone randomizes in the same manner playing 19 with probability p, and r with probability (1 p). Show your work! E