Bertrand's ballot theorem

theorem that, in an election where candidate A receives 𝑝 votes and candidate B receives 𝑞 votes (𝑝>𝑞), the probability that A will be strictly ahead of B throughout the count is (𝑝−𝑞)/(𝑝+𝑞)
Intangible theorem Q2253746
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Bertrand's ballot theorem

Summary

Bertrand's ballot theorem is a theorem[1]. It draws 89 Wikipedia views per month (theorem category, ranking #209 of 1,306).[2]

Key Facts

  • Bertrand's ballot theorem's instance of is recorded as theorem[3].
  • Joseph Bertrand is named after Bertrand's ballot theorem[4].
  • Bertrand's ballot theorem's part of is recorded as list of theorems[5].
  • Bertrand's ballot theorem's Commons category is recorded as Bertrand's ballot theorem[6].
  • Bertrand's ballot theorem's Freebase ID is recorded as /m/040_g3[7].
  • Bertrand's ballot theorem's proved by is recorded as William Allen Whitworth[8].
  • Bertrand's ballot theorem's defining formula is recorded as \frac{p-q}{p+q}[9].
  • Bertrand's ballot theorem's MathWorld ID is recorded as BallotProblem[10].
  • Bertrand's ballot theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Bertrand's ballot theorem's Microsoft Academic ID is recorded as 148139667[12].

Why It Matters

Bertrand's ballot theorem draws 89 Wikipedia views per month (theorem category, ranking #209 of 1,306).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[13]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Bertrand's ballot theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/bertrand-s-ballot-theorem
MLA “Bertrand's ballot theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bertrand-s-ballot-theorem.
BibTeX @misc{4ortxyz_bertrand-s-ballot-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bertrand's ballot theorem}}, year = {2026}, url = {https://4ort.xyz/entity/bertrand-s-ballot-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bertrand's ballot theorem — https://4ort.xyz/entity/bertrand-s-ballot-theorem (retrieved 2026-05-03)

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