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It’s in the original statement of Monty’s Paradox: it is strictly the case where Monty Hall knows which is the good door, and always opens bad doors, then offer
by drfuchs 7y ago
It’s in the original statement of Monty’s Paradox: it is strictly the case where Monty Hall knows which is the good door, and always opens bad doors, then offers you to swap the one remaining door for yours. Anything else isn’t Let’s Make A Deal’s Monty Hall problem.
- cma 7y agoThe original statement says he knows what is behind the doors, but doesn't say he uses that information to choose.
- tedunangst 7y agoThe problem doesn't say all the doors can be opened either. What if you switch and the door is locked???
- henrikschroder 7y agoWhat if the goat ate the car?!??!?
- pdonis 7y agoYes, it does, because the problem statement specifies that he always opens a bad door. He can't do that unless he is using the information about what's behind the doors to choose which door to open.
- Sean1708 7y agoTo be fair the original problem statement is a bit ambiguous: > 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? The "opens another door, say No. 3, which has a goat" could be misinterpreted as opening the goat door being an example rather than a requirement.
- pdonis 7y agoHm, yes, I see what you mean. You have to infer that Monty is always choosing a goat door to open.
- oh_sigh 7y agoEven in the 70s, you couldn't tell a contestant on a show that they could win a prize if they could not actually win the prize. There is something worse than being needlessly pedantic - it's being needlessly pedantic and wrong.
- lucas_membrane 7y agoYou are correct. Anything else is not the problem for which Marilyn Vos Savant's solution is correct. But her original presentation of the problem in Parade magazine did not state whether or not Monty always opens a bad door. If he does not always open a bad door or does not use some method uncorrelated with whether or not the contestant has already selected the door with the car to determine whether or not he will open a bad door, Marilyn's analysis is wrong.