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arXiv · 1404.1161

The Probability Distribution for Draws Until First Success Without Replacement

John Ahlgren
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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.

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John Ahlgren. 2014-04-04. The Probability Distribution for Draws Until First Success Without Replacement. https://arxiv.org/abs/1404.1161

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