Puzzle: The Monty Hall Problem
In the game show Let's Make a Deal, there are 3 doors, behind only one of which there is a prize. You pick a door and then one of the remaining two doors is opened; one of the two remaining doors must be empty and this is the door that is opened (they could both be empty). So now there are two unopened doors. You are then given the option of keeping your original choice, or you can switch to the remaining unopened door.Does it matter whether or not you switch? Do it change the likelihood of you winning?