Construction of Fair Dice Pairs

Can the Dice be Fair by Dynamics?

A throw of a fair die is commonly considered as a paradigm for chance. The die is usually a cube of a homogeneous material. The symmetry suggests that such a die has the same chance of landing on each of its six faces after a vigorous roll so it is considered to be fair. Generally, a die with a shape of convex polyhedron is fair by symmetry if and only if it is symmetric with respect to all its...

Efficient generation of fair dice with few biased coins

Given a random variable X which takes n equiprobable values, we consider several algorithmic questions related to the classical problem of simulating the outcomes of X by using a limited number of biased coins. in the framework of the project: \EEcienza di Algoritmi e Progetto di Strutture Informative".

Recursive Randomized Coloring Beats Fair Dice Random Colorings

Can you play a fair game of craps with a loaded pair of dice?

We study, in various special cases, total distributions on the product of a finite collection of finite probability spaces and, in particular, the question of when the probability distribution of each factor space is determined by the total

FAIR Accelerator and Civil Construction Status Report

Status of FAIR Accelerators After the Start Event for FAIR on November 11, 2007 the detailing work on the FAIR accelerators was carried on. This led to the finalization of the Technical Design Reports (TDR) for the accelerators of the Start Version [1] in December this year. The International Steering Committee for FAIR approved the formation of a new Machine Advisory Committee (MAC) led by the...