A bag contains 3 red balls, 2 blue balls, and 5 green balls. If a ball is drawn at random, what is the probability that it is red?

In a class of 30 students, 18 are girls and 12 are boys. If a student is selected at random, what is the probability that the student is a girl?

Two dice are rolled. What is the probability that the sum of the numbers on the two dice is 7?

A coin is flipped and a die is rolled. What is the probability of getting a head on the coin and a 4 on the die?

A tree diagram is used to represent the outcomes of flipping two coins. What is the probability of getting at least one head?

Match the following theoretical probabilities.

• Choosing from Red, Green, Yellow, or Blue

• Rolling a Die

• Rolling a 5 or 6 on a Die

• Spinner with 8 Equal Sections

• Flipping a Coin

Laila would like to open a bank account to save money.

She can choose from 5 different banks that are located nearby and each bank offers a traditional savings account, a money market account and a longer term Certificate of Deposit (CD).

How many different ways can Laila choose a bank and an account type?

What issues do you see with relying on tree diagrams and listing sample spaces to count outcomes?

• These methods are highly efficient and scalable.

• These methods take a long time to list and diagram, and counting individual outcomes will become increasingly difficult to create with larger numbers.

• These methods do not allow for the use of modern technology.

• These methods are universally applicable to all types of problems.

What is the primary purpose of a tree diagram?

• To organize and list all possible outcomes

• To solve algebraic equations

• To measure angles

• To calculate probabilities

If a spinner with three outcomes is spun twice, how many total outcomes are there?

• 12

• 9

• 6

• 15