Hi, I recently came across the famous Buffon's needle problem (http://en.wikipedia.org/wiki/Buffon%27s_needle), and there is no doubt that the problem as well as its answer are elegant. However, the problem I have in mind, is slightly modified. The original problem deals with parallel lines separated by fixed distance (say, m). What if there are squares of side m instead of just parallel lines? How will this affect the probability? I scratched my brain over this, but could not come up with anything. Can some genius crack this for me?

Regards, Salil