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arXiv · 2602.14487

Estimating $\pi$ with a Coin

Jim Propp
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Abstract

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

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Jim Propp. 2026-02-16. Estimating $\pi$ with a Coin. https://arxiv.org/abs/2602.14487

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