English

The Probability Distribution for Draws Until First Success Without Replacement

Probability 2014-04-07 v1

Abstract

We consider the urn setting with two different objects, ``good'' and ``bad'', and analyze the number of draws without replacement until a good object is picked. Although the expected number of draws for this setting is a standard textbook exercise, we compute the variance, and show that this distribution converges to the geometric distribution.

Keywords

Cite

@article{arxiv.1404.1161,
  title  = {The Probability Distribution for Draws Until First Success Without Replacement},
  author = {John Ahlgren},
  journal= {arXiv preprint arXiv:1404.1161},
  year   = {2014}
}
R2 v1 2026-06-22T03:42:59.438Z