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thomblake comments on Bayes' Theorem Illustrated (My Way) - Less Wrong
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Robin's description is correct. I'm not sure what you're saying.
ETA: this thread has gotten ridiculous. I'm deleting the rest of my comments on it. The best source for info on Monty Hall is youtube. He does everything. One thing that makes it rather different is that it is usually not clear how many good and bad prizes there are.
From Wikipedia:
The citation is from a letter from Monty himself, available online here.
I'm not sure how the article you linked to is relevant. It does describe an instance of Monty Hall actually performing the experiment, but it was in his home, not on the show.
thomblake's remark was relevant too, though - from what I said, you might imagine that Monty Hall let people switch on the show. All the clarifications are relevant and good.