Four pins are randomly nailed to a square board (according to a uniform probability distribution), and a rubber band is stretched completely around them to form a convex shape. What is the probability that the rubber band is in the shape of a triangle?

(In reply to about the solution by Charlie)

I second Charlie's sentiment.  No apologies necessary. 

(Once again, Charlie is a step ahead of me)

Posted by Steve Herman on 2005-02-20 21:05:12