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Originally Posted by Lukie
Right, which is why Boost's response to the question as posed in the OP was at the very least, not wrong. Whether he intended that or not I have no idea.
Holding will never improve your odds and switching will never worsen them, it's always correct to switch whether the host opens the door randomly or not.
Originally Posted by CoccoBill
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?
Non-randomness implied. Boost's response was wrong.
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