Quote Originally Posted by givememyleg View Post
it's a lot easier to see when you change 3 doors to 1,000 doors. at first you had 1/1000 shot, then if they opened all but 2, you have a 1/2 and should obv switch.
This. Though it's not a 1 out of 2 chance when you switch, it's a 999/1000 chance for reason's that Lukie mentioned, but taking it to 1000 doors is the easiest intuitive way to think of the problem imo.

This is why in Deal or No Deal, switching suitcases at the very end doesn't improve your odds, because you don't gain any "new information" throughout the process like you do in the Monty Hall Problem. In that epically retarded show you are just picking things at random.