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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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 YOU WILL NEVER KNOW!!! | Comment 37 of 46 |
It doesn't matter what the average is, or anything else
to do with math, not even how much money is in the
envelopes. Because no matter which one you pick, the
other one could always be smaller or larger, and you
will never know which it is. Just be thankful that
someone is giving you an envelope with money in it!
 Posted by Emily on 2005-08-26 22:12:25

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