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Is it to your advantage to switch your choice?

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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?

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posted Jul 30, 2017 by Nemai Jana

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1 Answer

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Solution:
If you switch, you get the car with probability 2/3. So switching is always a good choice.

answer Nov 8, 2017 by Mogadala Ramana



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