What is Discrete Uniform Distribution?

Formula of Continuous and Discrete Uniform Distribution

Discrete uniform distribution is a kind of probability distribution in which every possible result has equal likelihood of occurrence. When there are limited possibilities and every one of them is equally likely, this distribution is applied.

Example of Discrete Uniform Distribution

Examples of discrete uniform distribution are:

Rolling a Fair Die
Drawing a Card from a Deck
Choosing a Random Day of the Week
Flipping a fair coin

Properties of Discrete Uniform Distribution

The properties of discrete uniform distribution are:

Equal Probability: Each outcome has an equal chance of occurring.

Finite Set of Outcomes: The possible outcomes are discrete and finite.

Uniformity: The probability mass function (PMF) is constant over the range of possible outcomes.

Difference between Continuous and Discrete Uniform Distribution

Continuous and discrete uniform distributions are two types of probability distributions. A continuous uniform distribution has an interval of equally likely values. Instead, a discrete uniform distribution applies to a finite set of outcomes with equal probabilities.

In this article, we will discuss continuous and discrete uniform distribution along with a difference between them.