# Lesson 3

What Are Probabilities?

Let’s find out what's possible.

### Problem 1

List the sample space for each chance experiment.

1. Flipping a coin

2. Selecting a random season of the year

3. Selecting a random day of the week

### Problem 2

A computer randomly selects a letter from the alphabet.

1. How many different outcomes are in the sample space?
2. What is the probability the computer produces the first letter of your first name?

### Problem 3

What is the probability of selecting a random month of the year and getting a month that starts with the letter “J?” If you get stuck, consider listing the sample space.

### Problem 4

$$E$$ represents an object’s weight on Earth and $$M$$ represents that same object’s weight on the Moon. The equation $$M = \frac16E$$ represents the relationship between these quantities.

1. What does the $$\frac16$$ represent in this situation?
2. Give an example of what a person might weigh on Earth and on the Moon.

(From Unit 2, Lesson 4.)

### Problem 5

Here is a diagram of the base of a bird feeder which is in the shape of a pentagonal prism. Each small square on the grid is 1 square inch.

The distance between the two bases is 8 inches. What will be the volume of the completed bird feeder?

(From Unit 7, Lesson 13.)

### Problem 6

Find the surface area of the triangular prism.

(From Unit 7, Lesson 14.)