Foundations of Probability Theory

In a world driven by data and uncertainty, understanding probability is a fundamental skill for informed decision-making. This course provides a clear, text-based introduction to probability theory, equipping you with the foundational knowledge to interpret random events, analyze data, and confidently approach more advanced statistical or data science topics. Learn the axioms of probability, sample spaces, and events. Understand how to calculate probabilities of simple and compound events. Apply conditional probability and the concept of independence. Master Bayes' Theorem for updating beliefs based on new evidence. Explore discrete and continuous random variables and their distributions. Practice calculating expected values and variances. Interpret probabilistic models in various practical contexts. The course begins with essential definitions and rules, progresses through methods for calculating probabilities, then delves into random variables and common distributions, concluding with practical applications. This course is designed for absolute beginners with no prior knowledge of probability or advanced mathematics. Begin your journey to mastering the language of chance and data analysis.