11-3 Probability of Multiple Events
Objectives To find the probability of the event A and B
To find the probability of the event A or B
Lesson Vocabulary
- dependent events
- independent events
- mutually exclusive events
You can find the probabilities of multiple events occurring by using the probabilities of the individual events.
Essential Understanding To find the probability of two events occurring together, you have to decide whether one event occurring affects the other event.
When the occurrence of one event affects how a second event can occur, the events are dependent events. Otherwise, the events are independent events.
Problem 1 Classifying Events
Is each pair of events dependent or independent?
Think
What must you ask yourself?
Does the first event have any effect on the outcome of the second event?
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Roll a number cube. Then spin a spinner.
The two events do not affect each other. They are independent.
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Pick one flash card, then another from a stack of 30 flash cards.
Picking the first card affects the possible outcomes of picking the second card. The events are dependent.
✓ Got It?
- You select a coin at random from your pocket. You replace the coin and select again. Are your selections independent events? Explain.
Multiply to find the probability that two independent events will both occur.
Take Note Key Concept: Probability of A and B
If A and B are independent events, then
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions