1already done bro answer is
2l/a*pi
a plane with parallal straight lines with separation 2a is spread till infinity,a needle of length 2l (2l<2a) is thrown here at random find the probability of the needle to hit one of the line
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2 Answers
66That's the Buffon's needle problem. For a more general discussion see
http://en.wikipedia.org/wiki/Buffon%27s_needle
And for an interesting simulation (to use the result in order to obtain an estimate of pi), see
http://www.angelfire.com/wa/hurben/buff.html
(the simulation is at the bottom and you can see the result converging quite fast to pi)
