Back to Exercise: Describe events as subsets of a sample space

Exercises: Describe Events as Subsets of a Sample Space

Work through each section in order. List events as rosters using set
notation, e.g. {2, 4, 6}. For explanation problems, write in complete
sentences. Remember: an event is a SET of outcomes, not a number, and
"or" is inclusive (it includes outcomes in both events).

Grade 10·21 problems·~30 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-1

Printable layout

Warm-Up: Sets and Sample Spaces

These problems review set vocabulary you already know.

A standard die is rolled. Which of the following correctly describes the event "rolling an even number"?

The set of outcomes $\{2, 4, 6\}$

The probability $\frac{1}{2}$

The single number $2$

The value $3$ , since there are three even numbers

One card is drawn from a standard 52-card deck. The sample space $S$ is the set of all 52 cards. Which statement is true about the event "a heart"?

It is a subset of $S$ containing 13 outcomes (the 13 hearts).

It is the same as the sample space $S$ .

It is a single outcome, since "a heart" names one thing.

It is a number, since hearts have point values.

A standard die is rolled, so $S = \{1, 2, 3, 4, 5, 6\}$ . List the event "a number greater than 4" as a roster: ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . List the event "a multiple of 3" as a roster: ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ .

Fluency Practice

List each event as a roster. Use the given sample space.

A standard die is rolled, $S = \{1, 2, 3, 4, 5, 6\}$ . Describe $\{1, 2, 3, 4\}$ in words by completing: "a number ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ than ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ." (First blank: less or greater. Second blank: a single digit.)

One card is drawn from a standard 52-card deck. How many outcomes are in the event "a face card" (Jack, Queen, or King)? ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲

On a die, let $A = $ "even" $= \{2, 4, 6\}$ and $B = $ "greater than 3" $= \{4, 5, 6\}$ . List the union $A$ or $B$ .

$\{2, 4, 5, 6\}$

$\{2, 5\}$

$\{4, 6\}$

$\{2, 4, 4, 5, 6, 6\}$

On a die, let $A = $ "even" $= \{2, 4, 6\}$ and $B = $ "greater than 3" $= \{4, 5, 6\}$ . List the intersection $A$ and $B$ .

$\{4, 6\}$

$\{2, 4, 5, 6\}$

$\{2, 4, 6, 4, 5, 6\}$

$\{2, 5\}$

On a die, $S = \{1, 2, 3, 4, 5, 6\}$ and $A = $ "even" $= \{2, 4, 6\}$ . List the complement "not $A$ ."

$\{1, 3, 5\}$

$\{1\}$ , the smallest odd number

$\{2, 4, 6\}$ , the same as $A$

$\{4, 6\}$

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account