> [!NOTE] Definition 1 (Probability Space) > A probability space is a the [[List|triple]] $(\Omega, \mathcal{F}, \mathbb{R})$ where: > > (1): $\Omega$, the [[Definition of a Sample Space|sample space]], is the set of all possible outcomes, > > (2): $\mathcal{F}$ is [[Event Space|event space]] on $\Omega$, > > (3): $\mathbb{P}$ is [[Probability Measure|probability measure]] defined on $\mathcal{F}.$ # Properties **Uniform probability space**: A probability space is [[Uniform Probability Space with Finite Sample Space|uniform]] if every each outcome is equally likely.