Using Sample Spaces to Find Compound Probability

The video tutorial explains how to use sample spaces to find compound probabilities. It begins with a review of sample spaces and then demonstrates how to calculate the probability of rolling two dice to get a sum of 8. The tutorial then shifts to creating and analyzing tree diagrams for flipping coins, first with two coins and then with three. It also covers creating a sample space for different ways to commute to and from school. Throughout, the video emphasizes understanding compound events and calculating their probabilities using sample spaces and tree diagrams.

What is the probability of rolling two dice and getting a sum of 8?

• 1/12

• 1/8

• 5/36

• 1/6

How many possible outcomes are there when flipping two coins?

• 5

• 2

• 3

• 4

What is the probability of flipping one head and one tail in any order with two coin flips?

• 3/4

• 1/4

• 1/3

• 1/2

How many different ways can you travel to and from school using bus, car, or walking?

• 9

• 8

• 12

• 6

What is the probability of riding the bus to school and walking home?

• 1/12

• 1/9

• 1/6

• 1/3

How many possible outcomes are there when flipping three coins?

• 4

• 6

• 10

• 8

What is the probability of getting one head and two tails in any order when flipping three coins?

• 1/4

• 3/8

• 1/2

• 5/8