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2023 Fall LMT Speed p19 - 6 points on circle

Source:

March 2, 2024
combinatoricsgeometry

Problem Statement

Evin picks distinct points A,B,C,D,EA, B, C, D, E, and FF on a circle. What is the probability that there are exactly two intersections among the line segments ABAB, CDCD, and EFEF?
Proposed by Evin Liang
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