4) Say two players choose a one or two simultaneously. If the numbers are different, neither player gains. If the numbers are the same, player 1 wins if the number chosen is one and player two wins if the number chosen is two. Write the pure strategy sets for both players. Determine the optimal strategy mix for the players and the game mean value. 4) Say two players choose a one or two simultaneously. If the numbers are different, neither player gains. If the numbers are the same, player 1 wins if the number chosen is one and player two wins if the number chosen is two. Write the pure strategy sets for both players. Determine the optimal strategy mix for the players and the game mean value