# Dice Roll Experiment

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A dice roll experiment is an multinomial random experiment with [math]\displaystyle{ k=6 }[/math] composed of dice throw events.

**AKA:**Dice Throw Process, 6-Sided Dice Toss Experiment.**Context:**- It can involve:
- It can be associated with a Dice Roll Trial (e.g. {(1,5),(4,5),(5,4),(2,2)}
- It can be represented by a Categorical Random Variable.
- …

**Example(s):**- a One-Dice Roll Experiment (Roll a dice one time), with:
- Sample Space={1,2,3,4,5,6} with 6x1=6 Outcomes.
- Event Space={{},{1},{2},... {1,2} … {2,4,6} … {1,3,4,5} … {1,2,3,4,5,6}} with 2
^{6}=64 Events.

- a Two-Dice Roll Experiment (Roll a dice two consecutive times), with:
- Sample Space={(1,1),(1,2),...,(6,6)} with 6x6=36 Outcomes.
- Event Space={{},{(1,1)},{(1,2)} … {(1,1),(3,5)} … } with 2
^{4}Events.

- …

- a One-Dice Roll Experiment (Roll a dice one time), with:
**Counter-Example(s):**- a Sequential Random Experiment, such as toss a coin two consecutive times, roll a dice two times, and draw one card from a card deck.
- a Two-Sided Coin Toss Experiment.
- a Card Draw Experiment.

**See:**Craps Game Experiment.