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Topic: Probability of a Triangle
Replies: 9   Last Post: Sep 19, 2004 9:07 AM

 Messages: [ Previous | Next ]
 Alan Lipp Posts: 41 Registered: 12/6/04
Re: probability of a triangle (SPOILER)
Posted: Jun 7, 1996 5:28 AM

Dan,

A very pretty solution. My own approach was two-dimensional but also used
geometric probability. The three segments have length x, y, and 1-x-y so the
domain is the right triangle D whose corners are (0, 0), (1, 0), and (0,
1) . . . any point inside this figure represents a possible breaking of
the unit segment. The three triangle inequalities become x + y > 1/2, x
< 1/2, y < 1/2 which define a right triangle formed by joining the
midpoints of D. The probability of forming such a triangle is 1/4.

Alan Lipp

Date Subject Author
5/29/96 Pat Ballew
6/5/96 Daniel A. Asimov
6/7/96 Alan Lipp
6/7/96 Daniel A. Asimov
7/12/04 Van L. Nguyen
9/13/04 Alexander Bogomolny
9/15/04 Pat ballew
9/19/04 Alexander Bogomolny
9/15/04 Pat ballew
9/18/04 Alexander Bogomolny