Riddle 71: The Gameshow*
You are on a gameshow. You have three doors to choose from (numbers 1, 2 and 3). Behind two of these doors are donkeys (one per door), and behind the remaining door is a brand new car.
You pick one of the doors, and it remains closed. The host then opens one of the donkey-doors, leaving two closed doors. This means that one of the doors conceals a donkey, and the other a car. You are given the opportunity to either stick with your initial choice or switch.
To get the car, do you stick with the initial door or do you switch, and why?
*If you've ever answered this question before or simply know the answer, please don't respond; it's a common question among statistics students.