There are three doors on the stage. Behind one door is a car, behind the other two doors are goats. Monty Hall (the emcee) gets the contestant to...

There are three doors on the stage. Behind one door is a car, behind the other two doors are goats. Monty Hall (the emcee) gets the contestant to pick one of the doors. Monty does not reveal what is behind the contestant's chosen door, but he does open one of the other doors and reveals a goat. What are your chances of winning if you stay with door #1? What are your chances of winning if you switch?