If the needle in Problem 11 has length h > L, its possible for the needle to

Question:

If the needle in Problem 11 has length h > L, it’s possible for the needle to intersect more than one line.
(a) If L = 4, find the probability that a needle of length 7 will intersect at least one line.
(b) If L = 4, find the probability that a needle of length 7 will intersect two lines.
(c) If 2L < h < 3L, find a general formula for the probability that the needle intersects three lines.