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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?

Note by Iq 131
3 years, 10 months ago

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Yes. Since the probability of choosing a goat in the first try is 2/3 , since the other goat will be revealed, behind the other door should be the car. This famous problem as far as i know is The Monty Hall Problem. · 3 years, 10 months ago

Yes, famous Monty Hall Paradox Refer here: http://en.wikipedia.org/wiki/MontyHallparadox · 3 years, 10 months ago

Where the same article also says that the question as posed is incomplete (what if the host knows Door 2 has a goat and hence offering the option; never offering the option if the player originally picked a goat?). So there is no satisfying answer for this problem as stated. Only after clarifying further that the problem can be solved. · 3 years, 10 months ago