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I've known the answer to the Monty Hall problem for a long time, but this particular explanation just so happens to be the first one that's brought me closer to grokking the answer. I dunno what's different about this one, but it makes sense to me. Congrats.

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I think that the key sentence in his explanation is "So now Set B still has a 2/3 probability of having the prize." This really nails the whole thing down.

One thing to keep in mind, that most people don't understand, this only works if someone KNOWS which one is empty, and shows the door.

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