# Ch 4: Probability

Watch online math video lessons and learn about compound and complementary events, two-way tables, combinations, permutations and other related topics.

## Probability - Chapter Summary and Learning Objectives

Lessons in this chapter begin with an overview of basic set theory and conclude with a brief discussion on the two different approaches to probability. In between, instructors can show you the formulas and rules used to determine the likelihood of event outcomes through real-world examples and practice problems. By the end of this chapter, you should be able to do the following:

• Identify the differences between independent and dependent events
• Use addition and multiplication rules to determine the probability of events
• Explain the significance of event order in combinations and permutations

Video Objective
Mathematical Sets: Elements, Intersections & Unions Understand basic set theory. Explain such terms as unions and intersections.
Events as Subsets of a Sample Space: Lesson & Quiz Define an event and identify subsets of possible experiment outcomes.
Probability of Simple, Compound and Complementary Events Find the probability of simple, compound and complementary events.
Probability of Independent and Dependent Events Determine the probability of independent and dependent events.
Probability of Independent Events: The 'At Least One' Rule Use the 'at least one rule' to find the probability of independent events.
How to Calculate Simple Conditional Probabilities Find simple conditional probabilities using the process of dependent events.
The Relationship Between Conditional Probabilities & Independence: Lesson & Quiz Understand the relationship between conditional probabilities and independence.
Using Two-Way Tables to Evaluate Independence: Lesson & Quiz Evaluate independence using two-way tables.
Applying Conditional Probability & Independence to Real Life Situations: Lesson & Quiz Apply conditional probability to real-world scenarios.
The Addition Rule of Probability: Definition, Examples & Quiz Employ the addition rule of probability to calculate event outcomes.
The Multiplication Rule of Probability: Definition, Examples & Quiz Use the multiplication rule of probability.
Math Combinations: Formula and Example Problems Calculate factorials and solve combination formulas.
How to Calculate a Permutation Write permutations and solve for the number of possible outcomes.
How to Calculate the Probability of Permutations Use the permutation formula to find the probability of event outcomes in which the order of events matters.
Relative Frequency & Classical Approaches to Probability: Lesson & Quiz Understand the difference between relative frequency and classical approaches to probability.

15 Lessons in Chapter 4: Probability
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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