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.
| Comments: | 3 pages |
| Subjects: | Probability (math.PR); History and Overview (math.HO) |
| MSC classes: | 60C05 |
| Cite as: | arXiv:2602.14487 [math.PR] |
| (or arXiv:2602.14487v3 [math.PR] for this version) | |
| https://doi.org/10.48550/arXiv.2602.14487 arXiv-issued DOI via DataCite |
Submission history
From: James Propp [view email]
[v1]
Mon, 16 Feb 2026 06:01:32 UTC (3 KB)
[v2]
Tue, 24 Feb 2026 06:43:17 UTC (4 KB)
[v3]
Tue, 10 Mar 2026 16:32:19 UTC (4 KB)