The probability thatn random points in a triangle are in convex position |
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Authors: | Pavel Valtr |
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Affiliation: | 1. Department of Applied Mathematics, Charles University, Malostranské nám. 25, 118 00, Praha 1, Czech Republic
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Abstract: | We show thatn random points chosen independently and uniformly from a triangle are in convex position with probability $$frac{{2^n (3n - 3)!}}{{((n - 1)!)^3 (2n)!}}$$ . |
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Keywords: | |
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