Re: The envelope problem, and a possible solution
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@Sam: Sam, you refer to the sampling method. But at this point I can't really deduce why you believe the manner of sampling is important. You said: "Assuming that X is chosen equally likely from the set of all positive integers is flat wrong. You're not allowed to assume that, because it doesn't make sense." Alright, if we then do not make that assumption, how would that impact the results?
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If you make the assumption that it is a positive number randomly chosen, and you get an odd amount of money in your envelope (1/4 of the time you will), you know to switch.
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