English

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

Probability 2014-02-17 v1 Combinatorics Metric Geometry

Abstract

In this paper we give a formula for the probability that nn 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 nn.

Keywords

Cite

@article{arxiv.1402.3512,
  title  = {Probability that n random points in a disk are in convex position},
  author = {Jean-François Marckert},
  journal= {arXiv preprint arXiv:1402.3512},
  year   = {2014}
}
R2 v1 2026-06-22T03:08:30.880Z