Two players, Amy and Beth, take turns choosing numbers; Amy goes first. On her turn, a player may choose 1, 2, or 3, and this number is added to a running total. When the running total of both players' choices reaches 4, the game ends. (The running total cannot be greater than 4.) The player whose choice of number takes the total to exactly 4 is the winner. (This is an equivalent situation to the one we looked at in the class when 4 coins left.) Draw a game tree of this game. How many decision nodes does Amy have and how many decision nodes does Beth have? How many strategies does Amy have and how many strategies does Beth have