Uniform Distribution
A random variable X that assumes the values x1 , x2 , .... , xk has a uniform distribution if it assumes each of the values x1 , x2 , .... , xk with equal probability. The random variable X is said to be uniformly distributed with the following probability mass function:
EX. The random variable X that takes on the value of a single dice roll has a uniform distribution, since X can assume any of the 6 values in the set {1, 2, 3, 4, 5, 6} with an equal probability for each. This probability is 1/6.