What is the Buffon's needle problem?

In mathematics, Buffon's needle problem is a question first posed in the 18th century...

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What is the Buffon's needle problem?

Category:

Science & Mathematics

Sub Category:

Mathematical Theory

City:

Paris

Country:

France

 

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 method for approximating the number π.

Tags: Georges Louis Leclerc, Comte de Buffon, Mathematics Theory, Earliest problem in geometric probability, Integral geometry, Monte Carlo

 

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