am yisrael chai–
Thank you for the info / answer.
I never heard of:
-Buffon’s needle problem
-integral geometry
-probability density function
Are these taught in high-school level math?
College level?
Doctorate programs?
I don’t remember any of them from my high-school days, although I never took calculus or college level math courses.
Based on my level of knowledge, I was trying to work out a formula that would account for the perpendicular distance covered by the pencil as the degree of the acute angle between the pencil and the bottom line increased.
A longer pencil would mean that the 100% likelihood of at least one line being crossed would be reached at a smaller angle.
I had no idea how to account for the infinite number of angles that exist between zero and ninety, and the likelihood of the pencil crossing the line in each of them.
Dr. Pepper–
Sometimes, I’ll ask for more time and/or feel I missed something that I should’ve caught if I can’t figure out an answer.
This isn’t one of those times – I don’t think it was possible for me to get the answer to this one based on what I knew.
Thanks to both of you for showing/teaching me something(s) new.