Mathematics · Probability and Statistics

Which of the following statements regarding Probability Approaches, Axioms, and the Multiplication Rule are CORRECT? I. The Frequentist approach defines probability as the limit of the long-run frequency of an event as the number of trials approaches infinity. II. According to Kolmogorov's Axiom of Countable Additivity, the probability of the union of any countable collection of mutually exclusive events is equal to the sum of their individual probabilities. III. The Inclusion-Exclusion Principle for three events states that the probability of their union is strictly the sum of their individual probabilities minus the probabilities of all their pairwise intersections. IV. According to the general multiplication rule, the probability of two events A and B both occurring is equal to the probability of event B multiplied by the conditional probability of event A given B. Choose the most appropriate answer from the options given below: