Definition:Sample Space
From ProofWiki
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 $\mathcal E$.
A typical element of $\Omega$ is called an elementary event and is often denoted by the symbol $\omega$ (Greek lowercase omega).
Discrete Sample Space
If $\Omega$ is a countable set, whether finite or infinite, then it is known as a discrete sample space.
Sources
- Geoffrey Grimmett: Probability: An Introduction (1986): $\S 1.2, \ \S 1.5$
