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Physical Sciences and Mathematics Commons

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Bridgewater College

2020

Probability

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Full-Text Articles in Physical Sciences and Mathematics

Proving Pairwise Intransitivity In Sets Of Dice, Erika Clary Dec 2020

Proving Pairwise Intransitivity In Sets Of Dice, Erika Clary

Honors Projects

Prior research has been conducted regarding the intransitivity of a set of dice when a single die from a set is rolled against another die from that set and when two of the same dice are rolled against a different pair of two of the same dice. This project examines and proves that an intransitive cycle exists in every set of at least five dice when two different dice are rolled against two other different dice.