Function Repository Resource:

CompareDice

Given two dice, calculate the odds that the first will win, tie or lose

Contributed by: Ed Pegg Jr

ResourceFunction["CompareDice"][a, b]

calculate the odds that die a will {win, tie, lose} to die b.

Examples

A 4-sided die has a 1/4 chance of rolling higher than a 6-sided die:

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In these intransitive dice, a>b>c>a:

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In Efron's dice, a>b>c>d>a:

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With Miwin's dice, a>b>c>a:

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A new set of intransitive dice:

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Any two of Eric Harshbarger's "Go First Dice" have equal odds of winning:

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In this set of fooling dice, a>b>c>d>e>a:

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However, if pairs of the dice are rolled, a<b<c<d<e<a:

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