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    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)=1nP(X=k) = \frac{1}{n}P(X=k)=n1​
    • kkk is a specific outcome.
    • nnn is the total number of possible outcomes.
    Interactive Uniform Distribution
    Adjust the number of possible outcomes (nnn) to see how the probability changes.