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, and

then the selection of which of the two sticks to break again is a

probability distribution based on their relative sizes, of course there are

still an abundant number of ways to rank that probability, but I think I

want to try the most direct, what if the probability of selecting either

stick 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 of

picking B is 3/4... A nice extension to the problem.... Any quick solutions?

Pat Ballew

Lakenheath, UK

MathWords http://www.pballew.net/etyindex.html

-----Original Message-----

From: owner-geometry-puzzles@mathforum.org

[mailto://owner-geometry-puzzles@mathforum.org] On Behalf Of Alexander

Bogomolny

Sent: Tuesday, September 14, 2004 2:59 AM

To: geometry-puzzles@mathforum.org

Subject: Re: Probability of a Triangle

On May 29 15:45:21 1996, Pat Ballew wrote:

> a) If a unit length segment is randomly broken at two points

along

> its length, what is the probability that the three pieces

created in

> this fashion will form a triangle?

> b) If the length is broken at a random point, and then one of

the two

> pieces is randomly selected and broken at a random point on its

length

> what is the probability that the three pices will form a

triangle

>

See

http://www.cut-the-knot.org/Curriculum/Probability/TriProbability.shtml