Probability spaces

A probability space is a mathematical framework used to describe random events. It consists of three parts: a sample space (all possible outcomes), a set of events (specific outcomes or groups of outcomes), and a probability measure (a function assigning chances to these events). This structure helps us analyze uncertainty and predict the likelihood of different results in situations like games, experiments, or real-world scenarios. Essentially, it provides a systematic way to quantify and reason about chance and randomness.