Standard probability space

A standard probability space is a mathematical framework used to model random experiments. It consists of three key components: 1. **Sample Space (Ω)**: This is the set of all possible outcomes of a random experiment. Each individual outcome is called a sample point. For example, if the experiment involves rolling a die, the sample space would be \(Ω = \{1, 2, 3, 4, 5, 6\}\).