Exploring Compound Event Probability

Mr. Richards introduces the concept of probability of compound events, focusing on finding sample spaces and calculating probabilities. The lesson uses real-world examples, such as creating outfits and choosing car features, to illustrate how to list possible outcomes using organized lists, tables, and tree diagrams. Guided examples include arranging students, selecting car features, and determining probabilities with coins and dogs. The lesson concludes with a carnival prize example, emphasizing the use of tree diagrams for organizing thoughts and finding probabilities.

What is the first step in finding the probability of compound events?

• Creating a tree diagram

• Finding a sample space

• Listing all possible outcomes

• Calculating the probability directly

Tags

CCSS.7.SP.C.8B

How many different outfits can Amy create with her clothing items?

• 12

• 9

• 6

• 3

What is the sample space when listing the different ways three students can sit in a row?

• 3

• 6

• 9

• 12

Tags

CCSS.7.SP.C.8B

How can sample spaces be represented?

• Using a calculator

• Organized lists, tables, and tree diagrams

• Through mental notes

• Writing a paragraph

Tags

CCSS.7.SP.C.8B

What does a compound event consist of?

• Events that cannot be combined

• An undefined number of events

• Two or more simple events

• A single simple event

What is the probability of getting three tails when tossing a quarter, a dime, and a nickel?

• 1/6

• 1/8

• 1/4

• 1/2

Tags

CCSS.HSS.CP.B.9

What is the probability of choosing a female yellow Labrador Retriever from the animal shelter?

• 1/9

• 1/2

• 1/6

• 1/3

Tags

CCSS.8.SP.A.4

What is the probability that the prize is in a blue or yellow box behind door number 2?

• 2/9

• 3/9

• 1/3

• 1/2

Tags

CCSS.HSS.CP.B.7

Which method did Mr. Richards suggest is the best for organizing thoughts when finding sample spaces?

• Lists

• Tree diagrams

• Tables

• Mental calculation

Tags

CCSS.7.SP.C.8B

Why are tree diagrams considered the best method for organizing thoughts in finding probabilities?

• They are the only method allowed

• They require less space

• They help in organizing thoughts most effectively

• They are easier to draw

Tags

CCSS.7.SP.C.8B