Hi everyone! Read through the material below, watch the videos, work on the Word lecture and follow up with your instructor if you have questions.

You have, more than likely, used probability. In fact, you probably have an intuitive sense of probability. Probability deals with the chance of an event occurring. Whenever you weigh the odds of whether or not to do your homework or to study for an exam, you are using probability. In this chapter, you will learn how to solve probability problems using a systematic approach.

WeBWorK. Set 3.1

#### Learning Outcomes

• 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 Venn Diagrams.
• Construct and interpret Tree Diagrams.

#### Excel-based Course Resources

• Introductory Statistics by Sheldon Ross, 3rd edition: Sections 4.1-4.3
• Classwork

#### R-based Course Resources

• Slides
• Classwork
• R-laboratory

The Applied View

Watch the video introduction to probability.

1. What is a random phenomenon?
2. Explain why weather is an example of a random phenomenon.
3. What does it mean when a weather reporter says that there is a 70% chance of rain tomorrow?
4. If we flip a fair coin repeatedly, what can be said about the proportion of heads in the short run? What can be said about the proportion of heads in the long run?
5. What can you say about an event whose probability is close to one compared to an event whose probability is close to zero?

Exit Ticket

Consider three sets A, B, and C. What does look like?