All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Eight Points (Posted on 2016-08-24) Difficulty: 3 of 5
Eight points are selected at random from the interior of a unit circle.

What is the probability that these eight points constitute the eight vertices of a convex octagon?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Analytical solution | Comment 2 of 3 |
Who am I kidding?  A much simpler version of this extremely difficult problem popped up a few years ago in perplexus, entitled "Four Pins and a rubber band".  It was beyond our ability to do when n = 4. and it is exponentially more difficult now that n = 8.

Here is the link to the solution at Wolfram for n = 4.  The n = 8 situation is not covered.

  Posted by Steve Herman on 2016-08-24 21:23:32
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information