27 citations · 98 across the 20 of their papers we have counts for
4 papers · 1 filter
Exact probabilities for three and four dice in the balanced uniform model of 3-sided dice
Kent E. Morrison
We determine the exact probabilities of the different isomorphism classes of tournaments that result from random sets of three and four independent dice drawn from the balanced uni…
From bocce to positivity: some probabilistic linear algebra
Kent E. Morrison
A question in geometric probability about the location of the balls in a game of bocce leads to related questions about the probability that a system of linear equations has a posi…
The probability that a subspace contains a positive vector
Kent E. Morrison
We determine the probability that a random k-dimensional subspace of Euclidean n-space contains a positive vector.
Counterexamples in the theory of fair division
Theodore P. Hill, Kent E. Morrison
The formal mathematical theory of fair division has a rich history dating back at least to Steinhaus in the 1940's. In recent work in this area, several general classes of errors h…