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URL:  https://boards.fool.com/how-does-the-door-know-if-this-is-quotthe-same-30398359.aspx

Subject:  Re: 5 Statistics Problems To Change Your View Date:  11/25/2012  2:46 PM
Author:  rharmelink Number:  409545 of 567628

How does the door know if this is "the same game" or a new one with only two doors to chose from?

You don't even NEED him to show you a door without the grand prize. Basically, your choice is between your original door and the other two doors. You could make your original pick FIRST, THEN switch, and THEN let Monty show you a door that doesn't have the grand prize. His action is predetermined if you haven't picked the grand prize, which was one chance in three.
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