Probability Fundamentals: From Basic Concepts to Statistics

This module introduces fundamental counting principles and concepts. It covers counting numbers, working with large numbers, the multiplication principle, factorials, and the subtraction principle, providing essential foundational skills for probability calculations.

Skills you'll gain

This module explores more sophisticated counting techniques including counting collections, binomial coefficients, multinomials, and collections with repetition. It builds upon basic counting principles to handle more complex combinatorial problems.

Skills you'll gain

This module introduces fundamental probability concepts through practical examples like coin flipping, dice rolling, poker games, and bridge hand distributions. It applies counting principles to calculate probabilities in various scenarios.

Skills you'll gain

This module covers the concept of expected value using real-world examples like Chuck-A-Luck and slot machines. It teaches how to calculate expected outcomes and use this knowledge for strategic decision-making.

Skills you'll gain

This module explores conditional probability through famous problems like the Monty Hall Problem and election scenarios. It teaches how to calculate probabilities when events are dependent on other events.

Skills you'll gain

This module covers Bernoulli trials and their applications, including the Gambler's Ruin problem. It explores sequences of independent events where each trial has exactly two possible outcomes.

Skills you'll gain

This module introduces statistical concepts including games, variance, and the normal distribution. It covers how to use these tools to approximate probabilities in complex situations where exact calculations are difficult.

Skills you'll gain