Probability of Compound Events

This video tutorial explains how to find the probability of compound events, which involves measuring the chance of two or more events happening. The instructor demonstrates how to represent total possible outcomes using a sample space, which can be a table, tree diagram, or list. The video also covers calculating probability by listing all possible outcomes and using multiplication to find the probability of each event. Two methods are shown: creating a sample space and multiplying the probability of each event.

What is the focus of this video tutorial?

• Exploring the concept of random variables

• Learning about historical probability

• Understanding the probability of compound events

• Finding the probability of a single event

What type of probability is being calculated in this video?

• Experimental probability

• Theoretical probability

• Empirical probability

• Subjective probability

What is a sample space?

• A list of all possible outcomes

• A type of probability

• A single outcome of an event

• A method to calculate probability

Which of the following is NOT a way to represent a sample space?

• List

• Table

• Graph

• Tree diagram

In the example, what are the two events being considered?

• Spinner landing on green and die rolling a two

• Spinner landing on blue and die rolling a four

• Spinner landing on yellow and die rolling a three

• Spinner landing on red and die rolling a six

How many total possible outcomes are there in the example?

• 12

• 18

• 24

• 30

What is the probability of the spinner landing on yellow and the die rolling a three?

• 1/24

• 1/12

• 1/30

• 1/18

What is the probability of the spinner landing on yellow?

• 1/2

• 1/4

• 1/6

• 1/3

What is the probability of the die landing on three?

• 1/4

• 1/2

• 1/3

• 1/6

How do you calculate the probability of compound events using individual probabilities?

• Subtract the probabilities of each event

• Divide the probabilities of each event

• Multiply the probabilities of each event

• Add the probabilities of each event