#### Title

On Medians Of Lattice Distributions And A Game With Two Dice

#### Document Type

Article

#### Publication Date

9-1-1997

#### Published In

Combinatorics, Probability, And Computing

#### Abstract

Let D₁ and D₂ be two dice with k and l integer faces, respectively, where k and l are two positive integers. The game G_n consists of tossing each die n times and summing the resulting faces. The die with the higher total wins the game. We examine the question of which die wins game G_n more often, for large values of n. We also give an example of a set of three dice which is non-transitive in game G_n for infinitely many values of n.

#### Recommended Citation

Charles M. Grinstead.
(1997).
"On Medians Of Lattice Distributions And A Game With Two Dice".
*Combinatorics, Probability, And Computing*.
Volume 6,
Issue 3.
273-294.

http://works.swarthmore.edu/fac-math-stat/137