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 The grass is always greener... (Posted on 2004-05-06)
You are told there are two envelopes. One contains twice as much money as the other one. You pick one but are allowed to change your mind after picking it. (You are equally likely to pick the one with less money as the one with more money.)

To figure out how much on average the other envelope should contain, one might average x/2 and 2x because one is equally likely to pick one as picking the other. Since this comes out to 5x/4, one might always change his or her mind. But wouldn't this end up with one never making up his or her mind?

 No Solution Yet Submitted by Gamer Rating: 3.8824 (17 votes)

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 No Subject | Comment 39 of 46 |
This isn't a paradox... If you consider the larger sum to be 2x, then the smaller sum would be x, not x/2. x/2 is one fourth of 2x, not half.
 Posted by thegnome54 on 2006-01-29 21:39:41

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