Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and here for more.

Discrete Uniform Distribution

Remark: Without losing generality we assume that the random variable can adopt the first n positive integers.
Properties All values of the random variable have the same constant probability.
Graphic Representation uniform distribution
Applications Typical applications of a discrete uniform distribution are a fair die (n=6), or roulette (n=37 for Monte Carlo, n=38 for Las Vegas - in Las Vegas they use 38 compartments where the ball may come to rest: 0 to 36, and '00')
Skewness g1 = 0