> If you break a stick into six randomly sized pieces, > what is the probability that they will form a > tetrahedron? > > Can you do it for (n*n-n)/2 pieces to form an n > simplex? So far, the only thing that I have to go on > is > That the largest piece can't be longer than the total > length of the other pieces as would be true if we > were building a triangle (2 simplex). Thanks in > advance for any help.
by numeric experiments I obtained following values: