Discrete Uniform Distribution

The simplest scenario in probability: every outcome is equally likely.

The "Fair Die Roll" Distribution

The Discrete Uniform distribution describes a situation where there are a finite number of outcomes, and each outcome is equally likely to occur.

The most classic example is a single roll of a fair six-sided die. The possible outcomes are [1, 2, 3, 4, 5, 6], and the probability of rolling any one of these numbers is exactly 1/6. There is no bias towards any particular outcome.

The Formula

The probability mass function (PMF) is:

P(X=k) = \frac{1}{n}

$k$ is a specific outcome.
$n$ is the total number of possible outcomes.

Interactive Uniform Distribution

Adjust the number of possible outcomes (

n

) to see how the probability changes.

Number of Outcomes (n): 6