E8. Consider the following game. Harden and James are both in room 1 and Curry is in room 2. Harden first flips a coin. James goes to room 2 afterward and tells Curry Head or Tail. Curry then chooses Believe, Not or Fold. . James pays Curry $10 if what James said matches the flipped coin and Curry chooses Believe . James pays Curry $20 if what James said doesn't match the flipped coin and Curry chooses Not . Curry pays James $20 if what James said matches the flipped coin and Curry chooses Not . Curry pays James $10 if what James said doesn't match the flipped coin and Curry chooses Believe . Curry pays James $2 if Curry chooses Fold Draw its game tree using Harden, James, Curry as player 1, 2,3, respectively. Include James' payoff for each outcome