MathDB
Expected value of area of figure

Source: Miklos Schweitzer 2023, Problem 11

March 7, 2024
expected valuegeometryprobability

Problem Statement

Let KK{} be an equilateral triangle of unit area, and choose nn{} independent random points uniformly from KK{}. Let KnK_n be the intersection of all translations of KK{} that contain all the selected points. Determine the expected value of the area of Kn.K_n.
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