(a) Suppose you have a lined piece of paper with parallel lines at distance d apart. Suppose you throw a small stick of length l (l ? d) onto the surface uniformly at random.
What is the probability that the stick will intersect one of the lines?
(b) Suppose you have a piece of paper with parallel vertical lines (distance d apart) and parallel horizontal lines (distance g) apart.
Suppose you drop a small stick of length l (l ? d, l ? g) onto the surface uniformly at random. What is the probability that the stick will intersect at least one of the lines?
