Please solve the question about game theory below.

Two players play the following stage-game two times in a row (T = 2) and observe each other's rststage action before choosing actions in the second stage. Both players discount secondstage payoffs using a discount factor 5 6 [0,1]. m f X M 3,3 1,5 0,0 F 5,1 1,1 X 0,0 0,0 (a) How many pure strategies does each player have in the twostage game? (b) Which action proles can be sustained in the rst stage of a purestrategy subgame perfect equilibrium for 6 = 1? (c) What is the smallest 5 for which the prole (F, m) can be played in the rst stage of a subgame perfect equilibrium