# Definition:Elementary Event

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## Definition

Let $\EE$ be an experiment.

An **elementary event** of $\EE$, often denoted $\omega$ (Greek lowercase **omega**) is one of the elements of the sample space $\Omega$ (Greek capital **omega**) of $\EE$.

## Also known as

An **elementary event** is one of the possible **outcomes** of $\EE$.

Thus **outcome** means the same thing as **elementary event**.

Some sources refer to an **elementary event** as a **sample point**.

## Examples

### Throwing a 6-Sided Die

Let $\EE$ be the experiment of throwing a standard $6$-sided die.

- The elementary events of $\EE$ are the elements of the set $\set {1, 2, 3, 4, 5, 6}$.

## Sources

- 1965: A.M. Arthurs:
*Probability Theory*... (previous) ... (next): Chapter $2$: Probability and Discrete Sample Spaces: $2.2$ Sample spaces and events - 1986: Geoffrey Grimmett and Dominic Welsh:
*Probability: An Introduction*... (previous) ... (next): $1$: Events and probabilities: $1.2$: Outcomes and events - 2013: Donald L. Cohn:
*Measure Theory*(2nd ed.) ... (previous) ... (next): $10$: Probability: $10.1$: Basics