Player A has a $1 bill and a $20 bill, and player B has a $5 bill and a $10 bill. Each player will select a bill from the other player without knowing what bill the other player selected. If the total of the bills selected is odd, player A gets both of the two bills that were selected, but if the total is even, player B gets both bills.

(a) Develop a payoff table for this game. (Place the sum of both bills in each cell.)

(b) What are the best strategies for each player?

(c) What is the value of the game? Which player would you like to be?