10-2 Sample Space

​10-2 Sample Space

Learning Goal: Students will identify the sample space for an event.

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Math 7 | Probability

​Review Questions.

Math Response

A mayor wants to know how many people in her town drive certain types of vehicles. She records 50 types of vehicles as they pass the busiest intersection in town.

The table shows the results. How many electric vehicles can the mayor expect out of 4,000 vehicles in the town?

Type answer here

Correct Answer: 20

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Math Response

A smart tablet manufacturer tests 1 out of every 25 screens for flaws.

Out of 125 tablets tested, 2 had defective screens. How many defective screens should the manufacturer expect out of 45,000

smart tablets?

Type answer here

Correct Answer: 7500

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Math Response

A town is organizing a summer festival. The planners want to have enough gift bags for every person who attends. Out of 100 people randomly surveyed, 47 said they would attend the festival.

How many gift bags should the planners prepare if there are 2,800 people in the town? 

Type answer here

Correct Answer: 1316

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Math Response

A volunteer organization randomly surveys 40 volunteers about their shirt color preference. The graph shows the results of the survey.

Predict how many volunteers will want a black shirt if the organization has 350 volunteers.

Type answer here

Correct Answer: 98

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Today's Lesson: Sample Space

​Vocabulary:

• A sample space lists all the possible outcomes of an event.

• An outcome is the result of something that could or did happen.

• A group or set of one or more desired outcomes is called an event.

• A simple event is an event in which only one outcome can occur.

• Probability is the likelihood that an event will occur. Probability can be described using numbers (fractions, decimals, and percent) or words ranging from impossible to certain.

• The likelihood that an event will occur can be described in different ways, ranging from impossible, to equally likely, to certain.

​I do: 

A number cube is rolled.  Determine the sample space.

​I do: 

A number cube is rolled.  Determine the sample space.

Sample Space = {​1,2,3,4,5,6}

We do: 

A fair coin is tossed.  Determine the sample space.

We do: 

A fair coin is tossed.  Determine the sample space.

​It is possible to get the following outcomes.

Sample Space = {​heads, tails}

Open Ended

You do:

The spinner shown is spun with sectors A, B, and C.

Determine the sample space.

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​It is possible to get the following outcomes.

Sample Space = {​A, B, C}

Open Ended

You do:

A bag contains 10 red, 7 yellow, and 4 green marbles. A marble will be

chosen at random and the color is recorded.

Determine the sample space.

​​It is possible to get the following outcomes when choosing one random marble.

Sample Space = {​Red, Yellow, Green}
Thus there are 21 total possible outcomes.

Open Ended

You do:

In a seventh-grade math class, there are 5 students with blue eyes,

4 students with brown eyes, and 2 students with green eyes. One

student is selected at random and their eye color is recorded.

Determine the sample space.

​​It is possible to get the following outcomes when choosing one random student.

Sample Space = {​blue eyes, brown eyes, green eyes}

Open Ended

You do:

Each letter in the word MATHEMATICS is written on a piece of paper

and placed into a bag. A letter is drawn at random.

Determine the sample space.

Open Ended

You do:

Each individual digit from the number 1,030,531 is written on a card

and placed into a deck. A number is drawn at random. Determine the

sample space.

Multiple Choice

What is the sample space for the jar of marbles?

• red

• red, yellow, green, blue

• red and yellow

• red and green

Open Ended

If the letters for Space Coast were each written on a card and placed in a bag. What is the sample space when randomly drawing one letter from the bag?

Multiple Choice

If the letters for Space Coast were each written on a card and placed in a bag. What is the sample space when randomly drawing one letter from the bag?

• s,p,c,t

• The alphabet

• s,p,a,c,e,o,t

• S,p,a,c,e,C,o,a,s,t

Multiple Choice

If the letters for Space Coast were each written on a disk and placed in a bag. What is the sample space when randomly drawing a consonant from the bag?

• s,p,c,t

• The alphabet

• s,p,a,c,e,ot

• S,p,a,c,e,C,o,a,s,t

Multiple Choice

What is the sample space when randomly choosing one month out of the year?

• Jan., Feb., Mar., April, May, June, July, Aug, Sept, Oct., Nov., Dec.

• Jan., Mar., April, May, June, July, Sept, Oct., Nov., Dec.

• 12 months

• winter, spring, summer, fall

Multiple Choice

If the letters for Space Coast were each written on a disk and placed in a bag. What is the sample space when randomly drawing a vowel from the bag?

• a

• vowels

• a,e,o

• a,e,i,o,u

Multiple Choice

What is the sample space when rolling a regular number cube?

• 1

• 2, 4, 6

• 1, 2, 3, 4, 5, 6

• 6

Open Ended

What is the sample space for this spinner?

Open Ended

What is the sample space for this event?

Multiple Choice

What is the sample space for this spinner?

• 1, 1, 1, 1, 2, 3, 4, 4

• 1, 2, 3, 4, 5, 6, 7, 8

• 1, 2, 3, 4

• 8

Open Ended

What is the sample space for this spinner?

Multiple Choice

5) The spinner shown is divided into congruent sections that are labeled from 1 through 7.

If the spinner is spun one time, what is the probability of the arrow not landing on a section labeled with an odd number?

• $$\frac{4}{7}$$

• $$\frac{3}{4}$$

• $$\frac{1}{4}$$

• $$\frac{3}{7}$$

Math Response

9) Nate has a bag containing 3 red, 2 blue, 4 yellow, and 3 green marbles. If he randomly chooses one marble from the bag, what is the probability that the marble will be blue?

Type answer here

Correct Answer: \frac{1}{6}

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Multiple Choice

10) The table shows the types of movies and the number of DVDs rented by customers at a store in one day.

Based on the data in the table, what is the probability that a random customer will not rent a drama?

• $$\frac{1}{4}$$ because the probability of renting a drama is $$\frac{3}{4}$$ .

• $$\frac{3}{4}$$ because the probability of renting a drama is $$\frac{1}{4}$$ .

• $$\frac{4}{5}$$ because the probability of renting a drama is $$\frac{1}{5}$$ .

• $$\frac{1}{5}$$ because the probability of renting a drama is $$\frac{4}{5}$$ .