Lesson 3: Practice Problems

Problem 1

List the sample space for each chance experiment.

Flipping a coin
Selecting a random season of the year
Selecting a random day of the week

Problem 2

A computer randomly selects a letter from the alphabet.

How many different outcomes are in the sample space?
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 From Unit 2 Lesson 4

$E$ represents an object’s weight on Earth and $M$ represents that same object’s weight on the Moon. The equation $M = \frac{1}{6} E$ represents the relationship between these quantities.

What does the $\frac{1}{6}$ represent in this situation?
Give an example of what a person might weigh on Earth and on the Moon.

Problem 5 From Unit 7 Lesson 13

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?

A diagram on a grid of the base of a bird feeder which is in the shape of a pentagonal prism.

Problem 6 From Unit 7 Lesson 14

Find the surface area of the triangular prism.

A triangular prism with a triangular base. The sides of the triangle have lengths of 3 and 4 units, and a hypotenuse with a length of 5 units. The height of the prism has a length of 4 units.