LogFAQs > #939666028

markconigliaro posted...

Then don't think of it as the doors being eliminated, think of it as the host picking all those doors as a single group, and the host wins if the prize is in any of those doors. You get 1 door, the host gets 999 doors. The host then offers to trade his 999 doors for your single door. Obviously his group has a better chance of winning, so you switch.

Same with 3 doors. You get 1 door, the host gets 2. He offers to trade your single door for his 2 doors, and if either of those two doors have the prize, you win.

But it's not a group once they've been eliminated! The choice at that point is 50/50. Maybe when all the doors were in play it was whatever the odds were originally but it's now 50/50 since only two choices are left.

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