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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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![Two infinitely long parallel lines are a distance a apart, and a ncedle 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
па](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8858066-f85e-4609-87a8-68f64d59664e%2Fb87ed7a1-08d1-494d-94c3-a3a8f4a10e65%2Fg07u3p6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two infinitely long parallel lines are a distance a apart, and a ncedle 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
па
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