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MathNet 2015-part-07 — 185 problems (EN–VI) Question 121

Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)

Question 121

Two random points are chosen on a segment and the segment is divided at each of these two points. Of the three segments obtained, find the probability that the largest segment is more than three times longer than the smallest segment.