3.5 Probability and Counting Methods

Calculating probabilities, understanding independent and dependent events, and applying counting principles.

本节包含的知识点

• 3.5.1 Basic Probability Concepts — Understanding probability definition, sample spaces, events, and calculating theoretical and experimental probabilities.
• 3.5.2 Independent and Dependent Events — Distinguishing between independent and dependent events, and calculating probabilities using multiplication rule for both types.
• 3.5.3 Conditional Probability — Understanding conditional probability notation and calculating the probability of an event given that another event has occurred.
• 3.5.4 Counting Principles — Applying fundamental counting principle, permutations, and combinations to solve counting problems.
• 3.5.5 Multi-Step Probability Problems — Solving complex probability scenarios involving multiple stages, probability trees, and compound events.