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(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...
(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?
