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Buffon's needle Two infinitely long parallel lines are a distance a apart, and a needle of length 1 (1 < a) is dropped and spun so as to fall with its midpoint equally likely to lie at any point between the lines, and equally likely to point in any direction. Show that the probability that the needle 21 crosses one of the lines is πα

Buffon's needle Two infinitely long parallel lines are a distance a apart, and a needle of length 1 (1 < a) is dropped and spun so as to fall with its midpoint equally likely to lie at any point between the lines, and equally likely to point in any direction. Show that the probability that the needle 21 crosses one of the lines is πα

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Buffon's needle Two infinitely long parallel lines are a distance a apart, and a needle of length / (/ <a) is dropped and spun so as to fall with its midpoint equally likely to lie at any point between the lines, and equally likely to point in any direction. Show that the probability that the needle 21 crosses one of the lines is πα
Transcribed Image Text:Buffon's needle Two infinitely long parallel lines are a distance a apart, and a needle of length / (/ <a) is dropped and spun so as to fall with its midpoint equally likely to lie at any point between the lines, and equally likely to point in any direction. Show that the probability that the needle 21 crosses one of the lines is πα
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