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by oldkinglog 846 days ago
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

Regular intuition: switching doors doesn't matter, you have a 50/50 shot either way.

Counter-intuition: probably just check out the wikipedia article, there's a few different approaches.