3.2 Independent and Mutually Exclusive Events
Chapter Objectives
- Understand and use the terminology of probability
- Determine whether two events are mutually exclusive and whether two events are independent
- Calculate probabilities using the addition rules and multiplication rules
- Construct and interpret contingency tables
- Construct and interpret Venn diagrams
- Construct and interpret tree diagrams
Assignment
- All vocabulary (see Key Terms for definitions)
- 3.2 Homework 69–79 odds
- Read the next section in the book
Independent and Dependent Events
- Events that do not influence other events are independent
- E.g. rolling a die followed by rolling another one
- Otherwise, they are dependent events
- E.g. drawing a card, then another without replacing the first
Mutually Exclusive Events
- Events are mutually exclusive if they can’t occur at the same time
- Or when $P(A \text{ and } B)=0$