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 I've a broken stick (Posted on 2003-12-07)
I've a straight stick which has been broken into three random-length pieces.
What is the probability that the pieces can be put together to form a triangle?
If not, perhaps this will help: here are several methods to break the stick into the three random length pieces:
1. I select, independently, and at random, two points from the points that range uniformly along the stick, then break the stick at these two points.
2. I select one point, independently, and at random (again uniformly), and break the stick at this point. I then randomly (with even chances) select one of the two sticks and randomly select a point (again uniformly) along that stick, and break it at that point.
3. I select one point, independently, and at random (again uniformly), and break the stick at this point. I then select the larger stick, and randomly select a point (again uniformly) along that stick, and break it at that point.
If this clarifies the problem, please show how this affects your work.

 No Solution Yet Submitted by SilverKnight Rating: 3.6000 (5 votes)

 Subject Author Date Solution Jefferson 2006-09-22 23:42:16 solution?? lee kian keong 2004-07-08 02:31:03 this is all i could come up with hunter 2004-03-30 08:30:36 Solution??? Wendy 2004-02-17 18:34:53 solution vikas 2004-01-07 13:53:09 question Ali 2003-12-19 19:13:10 re(2): I think this is a solution puzzlesrfun 2003-12-10 14:40:16 re: I think this is a solution Charlie 2003-12-10 14:03:03 re: SilverKnight 2003-12-10 11:57:27 No Subject sean 2003-12-10 11:48:02 I think this is a solution puzzlesrfun 2003-12-09 21:09:45 re: Lee Penny 2003-12-08 23:34:35 re(6): help me! correction SilverKnight 2003-12-08 11:20:01 re(5): help me! correction Penny 2003-12-08 11:03:39 re(4): help me! correction Charlie 2003-12-08 10:01:12 thanks for all the help Lee 2003-12-08 05:59:02 deja vu Penny 2003-12-08 03:13:05 No Subject Lee 2003-12-08 03:12:51 re(3): help me! correction Penny 2003-12-08 03:07:02 re(2): help me! correction Lee 2003-12-08 02:54:03 re: help me! Penny 2003-12-08 02:41:35 help me! Lee 2003-12-08 01:39:56 shorter solution Tristan 2003-12-07 23:00:28 Solution? (No computer program used) Penny 2003-12-07 22:55:38 re: solution Charlie 2003-12-07 17:43:03 solution Charlie 2003-12-07 14:42:19

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