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For this problem you may assume the following interesting result, called Buffon's needle problem: If a table is ruled with parallel lines spaoed 1 unit

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For this problem you may assume the following interesting result, called Buffon's needle problem: If a table is ruled with parallel lines spaoed 1 unit apart, and a needle of length L <: is randomly thrown on this table the probability that needle crosses a line points find expected nmnber of crossed lines. suppose we toss length l grid has both horizontal and vertical rulings spaced unit apart. number lines in situation. justify your answer. like part b now longer than spacings crosses.>

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