Definition and Axiomatic System of Probability Space

Definition of Probability Space

A probability space is a fundamental concept in probability theory, providing a rigorous framework for modeling random phenomena. It consists of three key components: the sample space (Ω), the event space (F), and a probability measure (P). The sample space is the set of all possible outcomes of a random experiment, while the event space is a σ-algebra of subsets of the sample space. The probability measure assigns a numerical value between 0 and 1 to each