A horizontal plane is ruled with parallel lines 2 inches apart. A two-inch needle is
Chapter 4, Problem 111(choose chapter or problem)
Buffon’s Needle Experiment A horizontal plane is ruled with parallel lines 2 inches apart. A two-inch needle is tossed randomly onto the plane. The probability that the needle will touch a line is
\(P=\frac{2}{\pi} \int_{0}^{\pi / 2} \sin \theta d \theta\)
where \(\theta\) is the acute angle between the needle and any one of the parallel lines. Find this probability.
Text Transcription:
theta
P=\frac{2}{\pi} \int_{0}^{\pi / 2} \sin \theta d \theta
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