
RE: Probability of a Triangle
Posted:
Sep 15, 2004 11:29 AM


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: ownergeometrypuzzles@mathforum.org [mailto://ownergeometrypuzzles@mathforum.org] On Behalf Of Alexander Bogomolny Sent: Tuesday, September 14, 2004 2:59 AM To: geometrypuzzles@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.cuttheknot.org/Curriculum/Probability/TriProbability.shtml

