Bertrand's ballot theorem
type: Thing
description: 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)
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  value: \frac{p-q}{p+q}
additional property: PropertyValue
  property ID: P2812
  value: BallotProblem
additional property: PropertyValue
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confidence:
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    score: 0.009
    score pct: 1
    tier: long_tail
    components:
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      sitelinks norm: 0.026
      unique citations: 0
      unique citations norm: 0.0
      monthly pageviews: 423
      monthly pageviews norm: 0.0
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  unique citations: 0
  monthly pageviews: 423
  yearly pageviews: 722
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  pageview trend:
    m: 2026-07
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  pageview trend:
    m: 2026-06
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  pageview trend:
    m: 2026-05
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  pageview trend:
    m: 2026-05
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    v: 1
  pageview trend:
    m: 2026-05
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  pageview trend:
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  pageview trend:
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  popularity:
    sitelinks: 11
    max: 423
    pct: 2.6
  tier: long_tail
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    value: Q8004365
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    value label: William Allen Whitworth
  P2534:
    value: \frac{p-q}{p+q}
    source count: 0
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meta:
  wikidata id: Q2253746
  domain: theorem
  level: standard
  html url: https://4ort.xyz/entity/bertrand-s-ballot-theorem
  markdown url: https://4ort.xyz/entity/bertrand-s-ballot-theorem.md
  facts url summary: https://4ort.xyz/entity/bertrand-s-ballot-theorem/facts.json
  facts url standard: https://4ort.xyz/entity/bertrand-s-ballot-theorem/facts.json
  facts url full: https://4ort.xyz/entity/bertrand-s-ballot-theorem/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-27T02:46:34.829986Z
  entity updated at: 2026-05-03T22:54:58.348740+00:00Z
  entity created at: 2026-04-11T00:04:26.865450+00:00Z