Subject: Probability
Details: You appear on a game show and for your prize the host lets you choose one of three doors. Behind one door is a new car; behind each of the other doors is a goat. You choose a door. The host, who knows what's behind each door, then opens another door, which has a goat. He then asks if you want to pick the remaining door. If you switch you choice of doors, what is the porbability of getting the door with the new car? *Must show work so that i can understand* Please respond within 2 hours.