Stick Triangle

Suppose you break a stick into three pieces and try to assemble them into a triangle.  If you choose the two breaking points at random points in the interval, the theoretical probability that the pieces are able to form a triangle is  or 25%.  To see how well this theoretical probability works in practice, select two points on the line below at random by clicking on the image then click 'Assemble Triangle' to see if a triangle can be made out of those pieces.  To try to make another triangle yourself, click 'Start a new triangle' and select new breaking points.  You can also let Maple generate random sets of breaking points.