Definition:Uniform Distribution/Discrete

Definition
Let $X$ be a discrete random variable on a probability space.

Then $X$ has a discrete uniform distribution with parameter $n$ :


 * $\Img X = \set {1, 2, \ldots, n}$


 * $\map \Pr {X = k} = \dfrac 1 n$

That is, there is a number of outcomes with an equal probability of occurrence.

This is written:
 * $X \sim \DiscreteUniform n$

Also see

 * Discrete Uniform Distribution gives rise to Probability Measure


 * Definition:Continuous Uniform Distribution