I have this proof problem for my probability class and im not sure how to do it if you could explain it step by step that would be awesome. The question is that a needle 2.5cm long is dropped on a piece of paper that has a very fine parallel lines 2.25cm apart drawn on it.
What is the probability that the needle lies between the two lines.
If you could explain the proof step by step that would be awesome.
Thank you
✅ Answers
Answerer 1
In that case the length of the needle is greater than the spacing of the lines. It is actually possible for the needle to cross two lines. This case is addressed at the link below. It is not solved for you, but near the bottom of the page is an illustration showing the areas that need to be compared. The answer is there too, but its derivation is left as an exercise.
http://whistleralley.com/buffon/buffon.h…