Buffon's Needle

Buffon's Needle

In mathematics, Buffon's needle problem is a question first posed in the 18th century by Georges-Louis Leclerc, Comte de Buffon:

Suppose we have a floor made of parallel strips of wood, each the same width, and we drop a needle onto the floor. What is the probability that the needle will lie across a line between two strips?

Buffon's needle was the earliest problem in geometric probability to be solved; it can be solved using integral geometry. The solution, in the case where the needle length is not greater than the width of the strips, can be used to design a Monte Carlo-style method for approximating the number π.

Read more about Buffon's Needle:  Solution, Using Elementary Calculus, Estimating π

Famous quotes containing the word needle:

    I believe no gentleman would like to have his family affairs neglected because his wife was filling her head with crotchets and pothooks, and who, because she understood a few scraps of Latin, valued that more than minding her needle or providing her husband’s dinner.
    Sarah Fielding (1710–1768)