12-8 Probability of Compound Events
Objectives
To find probabilities of mutually exclusive and overlapping events
To find probabilities of independent and dependent events
Dynamic Activity
Independent and Dependent Events
Lesson Vocabulary
- compound event
- mutually exclusive events
- overlapping events
- independent events
- dependent events
In the Solve It, you found the probability that the next song is both a rock song and also a song by an artist whose name begins with the letter A. This is an example of a compound event, which consists of two or more events linked by the word and or the word or.
Essential Understanding You can write the probability of a compound event as an expression involving probabilities of simpler events. This may make the compound probability easier to find.
When two events have no outcomes in common, the events are mutually exclusive events. If A and B are mutually exclusive events, then P(A and B) = 0. When events have at least one outcome in common, they are overlapping events.
You need to determine whether two events A and B are mutually exclusive before you can find P(A or B).
Take note Key Concept: Probability of A or B
Probability of Mutually Exclusive Events
If A and B are mutually exclusive events,
Probability of Overlapping Events
If A and B are overlapping events,
Table of Contents
- 2-1 and 2-2 Solving One- and Two-Step Equations
- 2-3 Solving Multi-Step Equations
- 2-4 Solving Equations With Variables on Both Sides
- 2-5 Literal Equations and Formulas
- 2-6 Ratios, Rates, and Conversions
- 2-7 and 2-8 Solving Proportions and Using Similar Figures
- 2-9 Percents
- 2-10 Change Expressed as a Percent
- 3-1 Inequalities and Their Graphs
- 3-2 Solving Inequalities Using Addition or Subtraction
- 3-3 Solving Inequalities Using Multiplication or Division
- 3-4 Solving Multi-Step Inequalities
- 3-5 Working With Sets
- 3-6 Compound Inequalities
- 3-7 Absolute Value Equations and Inequalities
- 3-8 Unions and Intersections of Sets
- Chapter 1 Foundations for Algebra
- Chapter 2 Solving Equations
- Chapter 3 Solving Inequalities
- Chapter 4 An Introduction to Functions
- Chapter 5 Linear Functions
- Chapter 6 Systems of Equations and Inequalities
- Chapter 7 Exponents and Exponential Functions
- Chapter 8 Polynomials and Factoring
- Chapter 9 Quadratic Functions and Equations
- Chapter 10 Radical Expressions and Equations
- Chapter 11 Rational Expressions and Functions
- Chapter 12 Data Analysis and Probability