# Categorical Random Variable

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A categorical random variable is a discrete random variable whose function range is a categorical set.

**AKA:**Nominal RV Function.**Context:**- It can range from being a Binary Random Variable to being a Multinomial Random Variable.
- It can be represented by a Categorical Probability Function.
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**Example(s):**- a Random Variable that represents a Dice Roll Experiment.
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**Counter-Example(s):**- any Continuous Random Variable, such as one that represents a Lifetime Experiment.
- any Ordinal Random Variable.

**See:**Discrete Function, Binary Random Variable, Binomial Random Variable.