The probability that a random triple of dice is transitive

2022/11/29 by Polymath, D. H. J.
#Combinatorics (math.CO) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2211.16156

Abstract

An n-sided die is an n-tuple of positive integers. We say that a die (a₁,…,a_n) beats a die (b₁,…,b_n) if the number of pairs (i,j) such that a_i>b_j is greater than the number of pairs (i,j) such that a_i

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