Lesson 3
What Are Probabilities?
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
Solution
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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?
Solution
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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.
Solution
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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.
 What does the \(\frac16\) represent in this situation?

Give an example of what a person might weigh on Earth and on the Moon.
Solution
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(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?
Solution
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(From Unit 7, Lesson 13.)Problem 6
Find the surface area of the triangular prism.
Solution
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(From Unit 7, Lesson 14.)