Question: Show that if n people are distributed at random along a road L miles long, then the probability that no 2 people are less than

Show that if n people are distributed at random along a road L miles long, then the probability that no 2 people are less than a distance D miles apart is when D ≤ L/(n − 1), [1 − (n − 1)D/L]n. What if D > L/(n − 1)?

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