not sure if this has been done before, but anyway i love this little scenario

you are in a gameshow where you are shown 3 doors. you can't see whats behind them. the host says to you that behind each of the doors there is either a car or a goat. of the 3 doors there are 2 goats and 1 car. Obviously you want to pick a car. So you pick a door (for arguments sake door 1). The host opens a different door (e.g. door 2) and there is a goat behind it. He asks you do you want to change doors.

Do you, or does it not matter in your quest for the car?

mathematically you should change doors, although prima facie it is 50/50