Monty Python Meets Darth Vader

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Here is an interesting variation on the Monty Hall problem. For now I will simply present it cold, without indicating the context of where I saw it. Feel free to leave your proposed solutions in the comments. Everything from vague intuitions to hard-core Bayesian analysis is welcome.
Sorry for the sporadic blogging. For the past week I've been working on the Progressive Monty Hall problem, and it has proven to be considerably more complicated than I at first realized. I had expected to polish it off with a few hours work.
Speaking of the Monty Hall problem, I recently came across this terrific essay (PDF format), by Jeffrey Rosenthal, a professor in the Department of Statistics at the University of Toronto.
My account of the big creationism conference will resume shortly, but I really must take time out to discuss this article by Brian Hayes of American Scientist.