Write the payoff matrix for the given game, use Rachel as the row player. Two players, Rachel and Charlie, each have two cards. Rachel has one black card with the number 3 and one red card with the...

1.  Write the payoff matrix for the given game, use Rachel as the row player.

Two players, Rachel and Charlie, each have two cards.  Rachel has one black card with the number 3 and one red card with the number 5.  Charlie has a black card with a 6 written on it and a red card with a 1.  They each select one of their cards and simultaneously show the cards.  If the cards are the same color, Rachel gets, in dollars, the sum of the two numbers shown.  If the cards are different colors, Charlie gets, in dollars, the difference of the two numbers shown.