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MathNet 2024-part-06 — 165 problems (EN–VI) Question 114

Math Olympiad Vault · MathNet 2024-part-06 — 165 problems (EN–VI)

Question 114

Two points are chosen independently and uniformly at random from the interior of the X-pentomino shown below. Compute the probability that the line segment between these two points lies entirely within the X-pentomino.
Question illustration