English

Estimating $\pi$ with a Coin

Probability 2026-03-11 v3 History and Overview

Abstract

We describe a simple Monte Carlo method for estimating π\pi by tossing a coin. Although the underlying Catalan-number series identities appear implicitly in the probability theory literature, the interpretation of π4\frac{\pi}{4} presented here seems to be new.

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Cite

@article{arxiv.2602.14487,
  title  = {Estimating $\pi$ with a Coin},
  author = {Jim Propp},
  journal= {arXiv preprint arXiv:2602.14487},
  year   = {2026}
}

Comments

3 pages

R2 v1 2026-07-01T10:38:03.806Z