axioms of probability

The axioms of probability are basic rules that all probabilities follow. First, every probability is a number between 0 and 1—0 means impossible, 1 means certain. Second, the probability of the entire set of possible outcomes is 1, meaning something must happen. Third, if two events cannot happen together (mutually exclusive), the probability that either occurs is the sum of their individual probabilities. These rules ensure probabilities are consistent, allowing us to reason logically about uncertain events.