Solving a Probability Question with Griffith's Quantum Mechanics

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The discussion centers on a probability problem from Griffith's Introduction to Quantum Mechanics regarding a needle of length L dropped onto parallel lines spaced L apart. The main question is to determine the probability that the needle will cross one of the lines. Participants are encouraged to share strategies or insights on how to approach solving this problem. The conversation highlights the challenge of the problem, indicating that it may require a deeper understanding of geometric probability concepts. Overall, the thread seeks collaborative input to clarify the solution process.
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Hi there, math geeks. Physics geek here. I came across this problem in Griffith's Introduction to Quantum Mechanics, and just can't decide how to attack it.
A needle of length L is dropped randomly onto a sheet of paper ruled with parallel lines a distance L apart. What is the probability that the needle will cross a line?
I've done the previous problems, but this one just threw me for a loop. Can anyone give me some advice? Thanks!

- Warren
 
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Thanks for the tip, Ambitwistor!

- Warren
 
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