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 Smart prisoners always get a break (Posted on 2002-08-27)
100 prisoners are put into solitary cells. There's a central living room with one light bulb; the bulb is initially off. No prisoner can see the light bulb from his or her own cell. Every day, the warden picks a prisoner at random, and that prisoner goes to the central living room. While there, the prisoner can toggle the bulb if he or she wishes. Also, the prisoner has the option of asserting the claim that all 100 prisoners have been to the living room. If this assertion is false (that is, some prisoners still haven't been to the living room), all 100 prisoners will be shot for their stupidity. However, if it is indeed true, all prisoners are set free and inducted into MENSA, since the world can always use more smart people. Thus, the assertion should only be made if the prisoner is 100% certain of its validity.

The prisoners are allowed to get together one night, to discuss a plan. What plan should they agree on, so that eventually, someone will make a correct assertion?

 See The Solution Submitted by levik Rating: 4.3636 (11 votes)

 Subject Author Date my solution, hope everyone likes it ;-) vivek 2008-06-10 19:36:08 Smart prisoners always get a break 2 axf 2007-02-12 09:47:00 re(3): This seems really easy... Gamer 2007-01-15 14:06:53 re(2): This seems stupidly easy... thegnome54 2006-06-04 16:50:28 re: This seems stupidly easy... Vernon Lewis 2006-02-09 18:03:20 This seems stupidly easy... thegnome54 2006-02-09 16:00:40 No Subject Bryson 2005-12-16 11:02:39 Another solution Rajal 2004-08-04 14:47:56 Possibly ... Lawrence 2003-09-01 10:10:51 Possible solution Dacre 2003-08-29 12:25:18 re: My solution Gamer 2003-06-25 03:14:52 My solution ragnar 2003-01-22 10:41:04 Somthing about dividing the prisoners in half... Matt 2002-08-28 05:35:39 re(4): An impractical solution... TomM 2002-08-28 00:40:38 re(4): An impractical solution... levik 2002-08-27 17:39:41 i know this is wrong Kristina 2002-08-27 15:18:11 re(3): An impractical solution... Jim Lyon 2002-08-27 10:54:44 re(2): An impractical solution... levik 2002-08-27 09:26:28 re(3): An impractical solution... levik 2002-08-27 09:24:57 re: An impractical solution... Jim Lyon 2002-08-27 09:03:29 re(2): An impractical solution... friedlinguini 2002-08-27 08:37:38 re: An impractical solution... levik 2002-08-27 08:27:46 An impractical solution... friedlinguini 2002-08-27 06:15:44

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