Probability: Events

By the end of this module, you should be able to:

  • Describe and give examples of how randomness occurs,
  • Distinguish between problems involving combinations of events for which multiplication rules are appropriate and for which addition rules are appropriate,
  • Identify events that are independent and events that are mutually exclusive / disjoint and mathematically justify their identification,
  • Use addition rules, multiplication rules, probability of the complement of an event, and tree diagrams to solve a variety of probability problems,
  • Apply the conditional probability formula and Bayes’ rule to solve conditional probability problems.

Topics covered in this module

Learning resources:

  1. Introduction to Probability: Events ‎(video)
  2. Conditional Probability (video)
  3. Statistical Independence and Multiplication Rules (video)
  4. The Addition Rule (video)
  5. Tree Diagrams (video)
  6. Bayes’ Rule (video)