Sample Spaces, Tree Diagrams, and the Counting Principle

What is the sample space in a probability experiment?

• The most likely outcome

• The average of all outcomes

• The sum of all outcomes

• A list of all the possible outcomes

What are compound events in probability?

• Events that happen separately

• Events that are unrelated

• Events that are impossible

• Events that happen together

What is a tree diagram used for in probability?

• To list all the possible outcomes in a sample space

• To calculate the probability of an event

• To represent the branches of a tree

• To draw a picture of a tree

If you flip a coin twice, how many possible outcomes are there?

• 4

• 3

• 5

• 2

When rolling a die and flipping a coin, what is the outcome of rolling a 3 and getting tails?

• 4 T

• 4 H

• 3 T

• 3 H

In a probability experiment, what is the fundamental counting principle used for?

• To find the sum of all outcomes

• To determine the most likely outcome

• To list all possible outcomes

• To calculate the average outcome

How many outcomes exist when a coin is tossed 3 times?

• 2 outcomes

• 4 outcomes

• 6 outcomes

• 8 outcomes

What is the sample space when rolling a die and flipping a coin?

• 1H, 2H, 3H, 4H, 5H, 6H

• 1, 2, 3, 4, 5, 6, H, T

• 1T, 2H, 3T, 4H, 5T, 6H

• 1H, 2H, 3H, 4H, 5H, 6H,
  1T, 2T, 3T, 4T, 5T, 6T

A die is rolled 2 times. Which is NOT a possible outcome?

• 1, 1

• 2, 6

• 5, 6

• 1T

What is one question you still have about tree diagrams and sample spaces?