PROBABILITY THEORY: ADDITION AND MULTIPLICATION RULES OF PROBABILITY.

Abstract

Annotation: Probability theory provides the mathematical framework for quantifying uncertainty and predicting outcomes in stochastic processes. This article examines the two foundational pillars of probability: the Addition Rule and the Multiplication Rule. By defining these operations within the context of mutually exclusive and independent events, this study elucidates how complex probabilities are derived from simpler constituent parts. The article follows a structured IMRAD format to offer both theoretical clarity and practical application, providing a roadmap for educators and students to master these essential concepts.