# Bertrand’s Ballot Theorem

Formalized Mathematics (2014)

- Volume: 22, Issue: 2, page 119-123
- ISSN: 1426-2630

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topKarol Pąk. "Bertrand’s Ballot Theorem." Formalized Mathematics 22.2 (2014): 119-123. <http://eudml.org/doc/268859>.

@article{KarolPąk2014,

abstract = {In this article we formalize the Bertrand’s Ballot Theorem based on [17]. Suppose that in an election we have two candidates: A that receives n votes and B that receives k votes, and additionally n ≥ k. Then this theorem states that the probability of the situation where A maintains more votes than B throughout the counting of the ballots is equal to (n − k)/(n + k). This theorem is item #30 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.},

author = {Karol Pąk},

journal = {Formalized Mathematics},

keywords = {ballot theorem; probability},

language = {eng},

number = {2},

pages = {119-123},

title = {Bertrand’s Ballot Theorem},

url = {http://eudml.org/doc/268859},

volume = {22},

year = {2014},

}

TY - JOUR

AU - Karol Pąk

TI - Bertrand’s Ballot Theorem

JO - Formalized Mathematics

PY - 2014

VL - 22

IS - 2

SP - 119

EP - 123

AB - In this article we formalize the Bertrand’s Ballot Theorem based on [17]. Suppose that in an election we have two candidates: A that receives n votes and B that receives k votes, and additionally n ≥ k. Then this theorem states that the probability of the situation where A maintains more votes than B throughout the counting of the ballots is equal to (n − k)/(n + k). This theorem is item #30 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/.

LA - eng

KW - ballot theorem; probability

UR - http://eudml.org/doc/268859

ER -

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