Buffon's Noodle
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometric probability, the problem of Buffon''s noodle is a variation on the well-known problem of Buffon''s needle, named after Georges-Louis Leclerc, Comte de Buffon who lived in the 18th century. That problem solved by Buffon was the earliest geometric probability problem to be solved.Suppose there exist an infinite number of equally spaced parallel lines, and we were to randomly toss a needle whose length is less than or equal to the distance between adjacent l...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometric probability, the problem of Buffon''s noodle is a variation on the well-known problem of Buffon''s needle, named after Georges-Louis Leclerc, Comte de Buffon who lived in the 18th century. That problem solved by Buffon was the earliest geometric probability problem to be solved.Suppose there exist an infinite number of equally spaced parallel lines, and we were to randomly toss a needle whose length is less than or equal to the distance between adjacent lines. What is the probability that the needle will cross a line? The formula is P = 2L / D, where D is the distance between two adjacent lines, and L is the length of the needle. See this simulation.
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