Thus, you are now playing with a 50:50 solution.
Nope.
Best way to visualise is run all possible games.
It reduces down to three games, but you are welcome to consider more, but you'll find the answers divisible down to a basic three with a 1/3 chance if you stick and 2/3 if you switch.
You can also run a computer program to simulate lots of games and get the same result.
Basically the Cadillac can be behind doors 1, 2 or 3. You can pick any of them but if you don't pick the door with the car, Monty is going to improve the odds for the switch door as he knows where the car is, and is always going reveal a goat.
This is where the intuitive point about it being a simple two door problem breaks down as put quite simply, it is not that simple; the odds are altered by the fact that Monty knows what is behind the doors.
Schroedingers cat here kitty, kitty does have some similarities here...
Last edited by: Slidingpillar on Tue 24 Sep 13 at 19:37
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