A fair coin is flipped three successive times. You receive $1.00 for each head (H) that turns up and an additional $.25 for each two successive heads that appear (remember that HHH includes two sets of HH). However, you give back $1.10 for each tail that shows up. You have the options to either play or not play the game.

(a) Draw the decision tree for the game.

(b) Would you favor playing this game?