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Yeah, there really isn't any way to implement that version of the Monty Hall problem in the real world. You could say that Monty Hall randomly picks a door, and if he picks the winning door, that round of the game is aborted and you (the contestant) are given a drug that makes you forget that round ever happened. The rounds continue until Monty Hall happens to reveal a losing door, and that's the only one you will ever remember.

This is so detached from normal events in life that the paradoxical nature is much less impactful, so it's nowhere near as enticing of a thought experiment. It is, however, similar (equivalent, methinks) to the "God's Coin Toss" problem, which is also popular and which also has gotten some attention on Hacker News: http://www.scottaaronson.com/democritus/lec17.html



Eh, the math works out the same whatever is done in the case of him revealing a car. Reasonable options seem to include:

1) contestant wins (notion being the contestant retains the option to switch to any door, and now knows where the car is)

2) contestant loses (notion being Monty picked right and "won" in place of the contestant)

3) Round is aborted, things are repositioned, and the round is replayed (doesn't require any drugging, aborted rounds may or may not be aired but player learned nothing relevant to future rounds).




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