# Definition:Sample Space

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## Definition

Let $\mathcal E$ be an experiment.

The sample space of $\mathcal E$ is usually denoted $\Omega$ (Greek capital omega), and is defined as the set of all possible outcomes of $\mathcal E$.

### Discrete Sample Space

If $\Omega$ is a countable set, whether finite or infinite, then it is known as a discrete sample space.