The Largest Angle
Three points are chosen independently and uniformly at random on a circle and joined to form a triangle. What is the expected size of the triangle's largest angle, in degrees?
Related problems & prerequisites
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- The Longest of Four Pieces 5.0/10
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- A High Median 4.0/10
Source: Classic geometric-probability exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.