Counting Outcomes and Sample Spaces

The video tutorial covers the concept of sample spaces and how to calculate possible outcomes in various scenarios, such as meal combinations, coin flips, and sandwich selections. It explains different methods to represent sample spaces, including lists, tables, and tree diagrams. The tutorial also demonstrates how to use multiplication to determine the total number of outcomes and provides practice problems to reinforce learning.

How many different meal combinations can be made with 3 main courses, 2 side dishes, and 3 drinks?

• 12

• 18

• 24

• 30

Which method is NOT used to list sample spaces?

• Lists

• Tables

• Graphs

• Trees

In the coin flip and number cube experiment, how many total outcomes are possible?

• 8

• 12

• 6

• 10

What is a disadvantage of using a list to organize sample spaces?

• Hard to visualize

• Limited to two items

• Requires a lot of writing

• Takes up a lot of space

What is the multiplication principle used for?

• Subtracting outcomes

• Multiplying outcomes

• Adding outcomes

• Dividing outcomes

How many different sandwiches can be made with 3 breads, 4 proteins, 4 cheeses, and 5 vegetables?

• 1200

• 600

• 800

• 1000

What is the probability of randomly selecting a sandwich that Andre likes?

• 1/50

• 1/150

• 1/200

• 1/100

How many themes is Noah considering for his birthday party?

• 2

• 4

• 5

• 3

How many different possible outcomes are there for Noah's party?

• 12

• 15

• 21

• 18