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arxiv: 1402.3512 · v1 · pith:XACLWECYnew · submitted 2014-02-14 · 🧮 math.PR · math.CO· math.MG

Probability that n random points in a disk are in convex position

classification 🧮 math.PR math.COmath.MG
keywords convexdiskformulapointspositionprobabilityrandomchosen
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In this paper we give a formula for the probability that $n$ random points chosen under the uniform distribution in a disk are in convex position. While close, the formula is recursive and is totally explicit only for the first values of $n$.

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