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• # Artykuł - szczegóły

## Formalized Mathematics

2014 | 22 | 2 | 119-123

## Bertrand’s Ballot Theorem

EN

### Abstrakty

EN
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/.

EN

119-123

otrzymano
2014-06-13
online
2015-02-05

### Twórcy

autor
• Institute of Informatics University of Białystok Sosnowa 64, 15-887 Białystok Poland

### Bibliografia

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