Kolmogorov's axiomatic approach to probability

The axiomatic approach, introduced by Andrey Kolmogorov, defines probability using three fundamental mathematical rules. These axioms provide a rigorous foundation for modern probability theory. These axioms state that probability must be non-negative, the probability of the entire sample space is one, and the probability of the union of mutually exclusive events is the sum of their individual probabilities. This framework is crucial for understanding probability distributions and is applied across fields like statistics, data science, AI, physics, finance, and computer science for analysis and prediction.