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The grass is always greener... (Posted on 2004-05-06) Difficulty: 3 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Sorry, not Perplexed........:)John zadeh2007-06-25 22:12:13
No SubjectJean-Louis2007-04-11 00:43:57
No SubjectJean-Louis2007-04-08 00:40:03
SolutionSolutionlost2007-02-12 08:36:19
solutionHaruki2006-12-15 02:05:32
SolutionMy thoughtsTristan2006-10-13 14:35:30
SolutionSolutionron2006-02-13 14:12:06
No Subjectthegnome542006-01-29 21:39:41
SolutionJoe2005-11-06 18:11:25
YOU WILL NEVER KNOW!!!Emily2005-08-26 22:12:25
No SubjectWill2005-06-09 23:27:20
X marks 2 different spotsladyfly2005-04-28 08:01:53
The grass is always greedier1StokeD12005-04-03 15:14:18
kinda hard...Abanan2005-03-30 12:39:18
Solutionpossible solutionBrandon2005-03-22 15:42:21
Solutionsolutiongary wallravin2005-03-21 00:05:13
Maybe...patel2005-03-14 05:53:06
SolutionSolution?!?Sebastiano Di Nuzzo2005-03-02 13:56:02
SolutionNo SubjectSteven Lu2004-12-05 18:15:52
Green Grass and High Tides ForeverMichael2004-11-22 05:26:31
I have the solution.ccvannorman2004-11-11 03:08:02
I have the solution.ccvannorman2004-11-11 03:07:22
Solution (I think)Dustin2004-10-31 00:05:14
nonesara2004-09-09 19:42:06
No SubjectVee-Liem Veefessional2004-08-26 23:43:24
matter of sizeMartin Thompson2004-08-18 18:48:43
Strange...Balance2004-08-12 00:54:48
re: The faulty logicBalance2004-08-12 00:29:55
Well being logcial....mike2004-07-29 21:42:54
EASY MONEYJim2004-07-29 11:27:56
SolutionSolution.Henry2004-07-23 11:23:49
answer???Jake2004-07-16 09:04:46
Consider this scenarioRichard Rys2004-06-19 23:31:36
No SubjectDana2004-06-01 18:13:24
SolutionThe faulty logicCarlos Da Peanut2004-05-28 10:43:09
another interesting insightronen2004-05-27 19:45:50
Sorry, your WRONGChaz2004-05-20 17:09:53
re: Mean-ingSam2004-05-10 20:40:12
re: uniform distribution....?Sam2004-05-10 20:34:00
uniform distribution....?ronen2004-05-08 06:56:33
Mean-ingTristan2004-05-07 22:37:42
Lose the mathspicysaurus2004-05-07 09:41:17
The envelope, please.....Penny2004-05-07 01:06:36
A different perspectivestan2004-05-06 16:59:59
Averages Can Be MisleadingGordon Steel2004-05-06 15:25:12
SolutionGrounding X?Sam2004-05-06 14:34:39
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