Quote:
Originally posted by punkworld
Think about what you're saying now for a moment. You are claiming that probability on your original choice increases, even though regardless of the correctness of your choice the host can always open one door.
That doesn't make sense, now does it?
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And so does the probability of the one you didn't choose. The pool becomes smaller, thus the chance of each box being the prize is increased. Simple. Instead of being 1 of 3 possibilities, each box is now 1 of 2 possibilities. Everything readjusts. 3 has nothing to do with it anymore. 3 doesn't exist anymore in the realm of this problem after the removal of the third box.