Algebra 2 Note-taking Guide
Algebra 2 - Lesson 9.01 Events and Outcomes in a Sample Space
Please print this out in advance, and as you are working through the lesson, fill in the information and use this as your notes.
 The goal is to have all the empty boxes checked
Use this set of arrows
to guide you through
the lesson
As you complete this lesson, please check that you can answer:
 How can you represent relationships between sets and subsets of a sample space?
Defining a Sample Space (page 1)
When you flip a coin, there are only two possible outcomes or things that can happen: the coin lands on either
heads or tails.
Outcomes are also called elements. Elements are _______________________________________________
________________________________________________________________________________________.
A sample space is the set of ________________________________________________________________.
Review the coin tossing example and use the box below to list the sample space for tossing a coin three times:
Learn (page 2)
Let's look at a different example using a pair of number cubes labeled 1 through 6. What is the sample space for the
sum of the pair of number cubes?
Algebra 2 Notetaking Guide
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Review the dice rolling example on page 2 and use the box below to list the sample space for the sums of number
cubes:
Suppose that you will win another roll if you get doubles on the first try.
List the possible ways to get doubles:
Now calculate the chances of rolling doubles:
Rolling doubles is a subset of the original sample space from all possible combinations. A subset is a group of
_________________ in a sample space. Think of a subset as a smaller piece of the larger puzzle.
Subsets are also called _____________. There can be many different types of events in a sample space.
Use the space below to record your work for examples 1 and 2:
Example 1:
Example 2:
Another important subset of any set is the empty set. The empty set is a set with no ____________ and is
symbolized with ____.
Algebra 2 Notetaking Guide
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Two-Way Tables (page 3)
Categorical, or qualitative data are data that can be ____________________________________________
_______________________________________________________________________________________.
Quantitative data are _____________________________________________________________________
_______________________________________________________________________________________.
One way to represent and organize a sample space with categorical data is to create a two-way table. Take a look
at an example to see these types of tables in action.
Use the information provided on page 3 to fill in the two-way table below, and check your answer using the
interactive graphic.
Male
Female
Music
Drama
Total
Use the space below to create a two-way table for example 1:
Venn Diagrams (page 3)
Categorical data can also be organized into a Venn diagram. Take a
look at a comparison between music and drama students that the
principal from the earlier example made.
Algebra 2 Notetaking Guide
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Total
Use the blank diagram to the right to complete example2:
Unions, Intersections, and Complements (page 4)
Use the Venn diagram on page 4 to help you define each of the following terms:
Universal Set
Intersection
Union
Complement
Use the space below to record your work/answers for the example on page 4:
What is C ∩ D?
What is C U D?
What is D'?
Take a closer look at sets D and C. Did you notice that set D is included in set C? This can be described using set
notation by using the symbol ⊆. Write D ⊆ C to show that all elements in set D are also in set C.
Algebra 2 Notetaking Guide
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You Try 1 (page 4)
You Try 2 (page 4)
You Try 3 (page 4)
Finally, complete the 9.01 Assessment, Events and Outcomes in a Sample Space. This is an auto-graded
assignment. You will get immediate feedback on your work.
Algebra 2 Notetaking Guide
Version 14
Florida Virtual School