11-4 Conditional Probability
Objectives To find conditional probabilities
To use tables and tree diagrams to determine conditional probabilities
Lesson Vocabulary
- conditional probability
The probability that an event, B, will occur given that another event, A, has already occurred is called a conditional probability.
Essential Understanding Conditional probability exists when two events are dependent.
You write the conditional probability of event B, given that event A occurs, as
Tables and tree diagrams can help you find conditional probabilities.
Problem 1 Finding Conditional Probability
Education The table shows students by gender at two- and four-year colleges, and graduate schools, in 2005. You pick a student at random.
Think
What's the condition?
The student is at a graduate school.
-
A What is
The condition that the person selected is at graduate school limits the sample space to the 3,303,000 students at graduate schools. Of those 3,303,000 students, 1,954,000 are female.
| Males (in thousands) | Females (in thousands) | |
|---|---|---|
| Two-year colleges | 1866 | 2462 |
| Four-year colleges | 4324 | 5517 |
| Graduate schools | 1349 | 1954 |
SOURCE: U.S. Census Bureau
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