```Date: Sep 15, 2004 11:29 AM
Author: Pat ballew
Subject: RE: Probability of a Triangle

I love the last statement here where the stick is bronken at random, andthen the selection of which of the two sticks to break again is aprobability distribution based on their relative sizes, of course there arestill an abundant number of ways to rank that probability, but I think Iwant to try the most direct, what if the probability of selecting eitherstick was in the ratio of their length to the whole,, so if part a was 1/4 "and part B was 3/4 " then the prob of picking A is 1/4 and the prob ofpicking B is 3/4... A nice extension to the problem.... Any quick solutions?Pat BallewLakenheath, UKMathWords http://www.pballew.net/etyindex.html -----Original Message-----From: owner-geometry-puzzles@mathforum.org[mailto://owner-geometry-puzzles@mathforum.org] On Behalf Of AlexanderBogomolnySent: Tuesday, September 14, 2004 2:59 AMTo: geometry-puzzles@mathforum.orgSubject: Re: Probability of a TriangleOn May 29 15:45:21 1996, Pat Ballew wrote:>     a) If a  unit length segment is randomly broken at two pointsalong >     its length, what is the probability that the three piecescreated in >     this fashion will form a triangle?>     b)  If the length is broken at a random point, and then one ofthe two >     pieces is randomly selected and broken at a random point on itslength >     what is the probability that the three pices will form atriangle>     Seehttp://www.cut-the-knot.org/Curriculum/Probability/TriProbability.shtml
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