dlthomas comments on Deviant argumentation regarding Monty Hall problem - Less Wrong Discussion
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It is trivial to simulate, just do it for yourself.
My results, from back when I did it, follow.
As presented, with Monty always opening a door with a goat that the contestant did not pick:
Switch - 2/3 Stick - 1/3
If Monty opens a random door that the contestant did not pick, with the contestant losing if the car is revealed:
Switch - 1/2 Stick - 1/2