# Multinomial Trial

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A multinomial trial is a discrete simple random experiment with [math]\displaystyle{ k\gt 2 }[/math] outcomes (an n-ary sample space).

**AKA:**k-Nomial RE.**Context:**- It can be a associated with a Multinomial Mass Function/Probability Distribution Table), which can range from being a Uniform Probability Mass Function to being a Skewed Probability Function.
- It can be the result of a Multinomial Process, of [math]\displaystyle{ n }[/math] trials.

**Example(s):**- “
*In a recent three-way election for a large country, candidate A received 20% of the votes, candidate B received 30% of the votes, and candidate C received 50% of the votes.*” - a Dice Roll Experiment.
- a k-Sided Coin Toss Experiment.
- …

- “
**Counter-Example(s):**:- a Binomial Trial, if
*k*=2.

- a Binomial Trial, if
**See:**Multinomial Process, Multivariate Analysis.