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There is two parallel lines and a matchstick. The constant distance between these two lines is equal to the the length of the matchstick.

If the matchstick is dropped between the two lines randomly many times then what would be the probability that the matchstick would

intersect the lines(any of it).The answer is .64 but I am not sure Please explain..

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Best answer
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I think i found the solution and it is interesting...

Theorem of the Buffon's needle.

Suppose we have a floor made of parallel strips of wood, each the same width 2b, and we drop a needle of length 2a onto the floor. The probability that the needle will lie across a line between two strips is  (2a/3.14b).

for more see http://www.pi314.net/eng/buffon.php
So the answer would be (2/3.14)=.64
 

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there are 3 possible outcomes

outcome 1 = either match stick intersects line 1

outcome 2 = either match stick intersects line 2

outcome 3 = or it can in middle and do not intesect any line

favourable outcomes = 2 (i.e is outcome1, outcome2)

probability = 2/3 = .666666

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