1. You are on a game show. The host presents you with three doors. Whatever door you choose, you get to keep the prize behind it. Two of the doors have donkeys behind them, and one of the doors has a brand new car. Round 1: you are asked by the host to choose a dooryou make your selection from the three available doors. You want the car. Round 2: the host then decides to help you out - by opening one of the doors you did not choose; he opens a door with a donkey behind it. This leaves two unopened doorsthe one you originally selected, and the other unopened one. The host then asks if you'd like to change your decision. What's your decision, and tell me your reasoning - why