Monty Hall did open a wrong door to build excitement, but offered a known lesser prize—such as $100 cash—rather than a choice to switch doors. As Monty Hall wrote to Selvin:
And if you ever get on my show, the rules hold fast for you—no trading boxes after the selection. (Hall 1975)
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.
Was Mr. Hall cheating? Not according to the rules of the show, because he did have the option of not offering the switch, and he usually did not offer it.
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.
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.
exactly as Robin said.
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.
Yes, you might imagine that, and you’d probably be right. Thom’s quote is evidence against that claim, but very weak.