Gameshow host wrote:In front of you are three doors. Behind one is a brand new car, and behind the others is the booby prize, a goat. You need to pick a door - 1, 2 or 3. Which ever door you pick, I will open one of the doors with a goat behind it. I will then ask you whether you want to keep the door you chose, or change to the other remaining door. If your final choice is the door with the car, you win the car. Otherwise, you lose.
You go ahead and pick a door (lets say, for example, you pick door 1). The gameshow host opens a different door - lets say door number 3 - revealing a goat. The host now asks you whether you would like to stay with Door 1, or change your selection to Door 2.
Are you better off changing to door 2?
(note that this isn't a trick question, there is no playing on words or trickery, it's straight forward)