Buffon's Needle
The problem
You have a wooden floor with evenly spaced parallel lines, distance apart. You drop a needle of length at random — uniform random position and uniform random angle.
What is the probability the needle crosses a line?
You have a wooden floor with evenly spaced parallel lines, distance apart. You drop a needle of length at random — uniform random position and uniform random angle.
What is the probability the needle crosses a line?