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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: 3.9444 (18 votes)

 Subject Author Date Sorry, not Perplexed........:) John zadeh 2007-06-25 22:12:13 No Subject Jean-Louis 2007-04-11 00:43:57 No Subject Jean-Louis 2007-04-08 00:40:03 Solution lost 2007-02-12 08:36:19 solution Haruki 2006-12-15 02:05:32 My thoughts Tristan 2006-10-13 14:35:30 Solution ron 2006-02-13 14:12:06 No Subject thegnome54 2006-01-29 21:39:41 Solution Joe 2005-11-06 18:11:25 YOU WILL NEVER KNOW!!! Emily 2005-08-26 22:12:25 No Subject Will 2005-06-09 23:27:20 X marks 2 different spots ladyfly 2005-04-28 08:01:53 The grass is always greedier 1StokeD1 2005-04-03 15:14:18 kinda hard... Abanan 2005-03-30 12:39:18 possible solution Brandon 2005-03-22 15:42:21 solution gary wallravin 2005-03-21 00:05:13 Maybe... patel 2005-03-14 05:53:06 Solution?!? Sebastiano Di Nuzzo 2005-03-02 13:56:02 No Subject Steven Lu 2004-12-05 18:15:52 Green Grass and High Tides Forever Michael 2004-11-22 05:26:31 I have the solution. ccvannorman 2004-11-11 03:08:02 I have the solution. ccvannorman 2004-11-11 03:07:22 Solution (I think) Dustin 2004-10-31 00:05:14 none sara 2004-09-09 19:42:06 No Subject Vee-Liem Veefessional 2004-08-26 23:43:24 matter of size Martin Thompson 2004-08-18 18:48:43 Strange... Balance 2004-08-12 00:54:48 re: The faulty logic Balance 2004-08-12 00:29:55 Well being logcial.... mike 2004-07-29 21:42:54 EASY MONEY Jim 2004-07-29 11:27:56 Solution. Henry 2004-07-23 11:23:49 answer??? Jake 2004-07-16 09:04:46 Consider this scenario Richard Rys 2004-06-19 23:31:36 No Subject Dana 2004-06-01 18:13:24 The faulty logic Carlos Da Peanut 2004-05-28 10:43:09 another interesting insight ronen 2004-05-27 19:45:50 Sorry, your WRONG Chaz 2004-05-20 17:09:53 re: Mean-ing Sam 2004-05-10 20:40:12 re: uniform distribution....? Sam 2004-05-10 20:34:00 uniform distribution....? ronen 2004-05-08 06:56:33 Mean-ing Tristan 2004-05-07 22:37:42 Lose the math spicysaurus 2004-05-07 09:41:17 The envelope, please..... Penny 2004-05-07 01:06:36 A different perspective stan 2004-05-06 16:59:59 Averages Can Be Misleading Gordon Steel 2004-05-06 15:25:12 Grounding X? Sam 2004-05-06 14:34:39

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