My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum

LinkBack Thread Tools Display Modes
December 15th, 2012, 01:48 AM   #1
Joined: Dec 2012

Posts: 1
Thanks: 0

probability problem

The problem is such:
There is a unit circle on the plane. 3 points are randomly chosen from this circle ("randomly" means uniform distribution over the circle). What is the probability that circumscribed circle of the triangle made of these 3 points lies entirely inside the unit circle?
I tried to express circumcenter and circumradius via coordinates of 3 points. Also I found that condition circumcircle lies inside unit circle is equivalent to W+R<=1, where W is distance from center of circumscribed circle to the origin, R is radius of circumscribed circle. But the formulas are so strange that I can't imagine how should I find probability integrating over region W+R<=1. Help please.
Vasia is offline  

  My Math Forum > High School Math Forum > Probability and Statistics

probability, problem

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Probability Problem / Insurance problem bsjmath Advanced Statistics 2 March 1st, 2014 02:50 PM
Probability problem ystiang Advanced Statistics 1 February 13th, 2014 04:27 PM
Probability problem halloweengrl23 Advanced Statistics 3 March 23rd, 2012 02:27 AM
Probability Problem.Please help adiptadatta Probability and Statistics 1 May 11th, 2010 06:46 AM
Help with probability problem! indian Algebra 0 February 21st, 2008 04:10 PM

Copyright © 2019 My Math Forum. All rights reserved.