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Chapter 6: Q.6.3 (page 275)

Suggest a procedure for using Buffon鈥檚 needle problem to estimate 蟺. Surprisingly enough, this was once a common method of evaluating 蟺.

Short Answer

Expert verified

Knowing L and D we can calculate蟺.

Step by step solution

01

Content Introduction

Given a floor with evenly spaced parallel lines a distance d apart, Buffon's needle problem asks for the probability that a needle of length l would land on a line.

02

Content Explanation

According to Buffon's needle problem

P{X<L2cos胃}=2L蟺顿

take a needle of length "L". draw a line equidistant at distance "D" on the table. Throw the needle on the table sufficiently large number of times. Calculate the probability by dividing the numbers of times needles cuts alone by the total number of times needle was thrown.

The probability is2L蟺顿

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