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acute <AOB by 2 darts on a circular board 2017 BMT Team 4

Source:

January 5, 2022
geometryangleacute

Problem Statement

22 darts are thrown randomly at a circular board with center OO, such that each dart has an equal probability of hitting any point on the board. The points at which they land are marked AA and BB. What is the probability that ∠AOB\angle AOB is acute?
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