The probability of a needle of length

Now if we do simulation experiments to find by this method, we should drop needles a large number of times and count the number of hits overlapping a crack, this proportion estimates the above probability.

Try it out on any of these sites: Buffon1 Buffon2 Buffon3 Buffon4 Buffon5

A favorite: http://www.mste.uiuc.edu/ictm/ictm96.html

Some of these sites take the length of the needle
to be equal to the distance between the cracks,
this gives a simplified expression for