Wayground
Independent and Dependent Probability - Printable Math Worksheets 7th Grade - Wayground

Independent and Dependent Probability

Juliann Sedlock

Created by Juliann Sedlock

18 questions

7th Grade

Math

Updated Oct 2026

This Grade 7 mathematics worksheet builds students’ ability to distinguish independent events from dependent events in real-world probability situations. Across 18 multiple-choice questions, students identify whether one outcome affects another, considering examples such as repeated coin tosses, spinner-and-coin trials, selections with replacement, and selections without replacement. The worksheet also develops compound-probability reasoning by asking students to calculate the likelihood of two or three outcomes occurring in sequence or across separate groups. Students work with dice, marbles, socks, CDs, classroom groups, chips, and letter tiles, using fractions and multiplication to determine probabilities. It is a free printable worksheet with a complete answer key for independent practice, guided review, homework, or a Grade 7 probability check.

Worksheet settings

Font size

S
M
L
XL
WaygroundWorksheets

Independent and Dependent Probability

Total questions: 18

Name
Class
Date
1.

The outcome of one event does not affect the outcome of the other event.

a)

independent event

b)

dependent event

2.

The outcome of one event does affect the outcome of the other event.

a)

independent event

b)

dependent event

3.

Four coins are tossed.

a)

Independent

b)

Dependent

4.

There are 2 red, 6 white, and 2 black socks in a box. You choose a sock, put it on, then choose another sock.

a)

Independent

b)

Dependent

5.

A CD rack has 8 classical CDs, 5 pop CDs, and 3 rock CDs. Two are chosen without replacement.

a)

Independent

b)

Dependent

6.

Spinning a spinner to get a number greater than 5 on a spinner 1 to 8 and tossing a tail on a coin.

a)

Independent

b)

Dependent

7.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles.…
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
8.
What is the probability of rolling a dice and landing on a 4 , and then rolling the dice again and landing on any even…
What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?
a)
1 ⁄ 6
b)
1 ⁄ 8
c)
1 ⁄ 2
d)
1 ⁄ 12
9.
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?
a)
1/3
b)
1/2
c)
1/6
d)
1/4
10.
A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of…
A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?
a)
1/9
b)
1/27
c)
1/6
d)
2/9
11.
There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the…
There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.
a)
1/2
b)
1/36
c)
1/6
d)
1/66
12.
There are 15 boys in a class with 14 girls. Find the probability of selecting a girl then a boy
a)
15/58
b)
18/33
c)
2/29
d)
1/29
13.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.
a)
3/20
b)
1/4
c)
3/31
d)
2/27
14.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
15.
You are playing a game of scrabble. The tiles shown are dropped in a bag. What is the probability of randomly selecting an…

You are playing a game of scrabble. The tiles shown are dropped in a bag. What is the probability of randomly selecting an "A"?

a)

1/15

b)

4/15

c)

1/3

d)

2/3

16.
You are playing a game of scrabble. The tiles shown are dropped in a bag. You need to choose two tiles. What is the…

You are playing a game of scrabble. The tiles shown are dropped in a bag. You need to choose two tiles. What is the probability of choosing an "E", keeping it, and then choosing a "H"?

a)

4/15

b)

1/70

c)

1/75

d)

1/225

17.
What is the probability of randomly selecting a stripped marble, replacing it, and then selecting a solid marble?

What is the probability of randomly selecting a stripped marble, replacing it, and then selecting a solid marble?

a)

40%

b)

60%

c)

24%

d)

22%

18.
Find P(striped marble with replacement, then another striped marble).

Find P(striped marble with replacement, then another striped marble).

a)

10%

b)

16%

c)

40%

d)

50%

WaygroundAnswer Key

Independent and Dependent Probability

Total questions: 18

1.
a)

independent event

2.
b)

dependent event

3.
a)

Independent

4.
b)

Dependent

5.
b)

Dependent

6.
a)

Independent

7.
a) 1 ⁄ 16
8.
d) 1 ⁄ 12
9.
d) 1/4
10.
b) 1/27
11.
d) 1/66
12.
a) 15/58
13.
a) 3/20
14.
a) 1/36
15.
b)

4/15

16.
b)

1/70

17.
c)

24%

18.
b)

16%

Browse by subjects

Browse by grades

Browse by format

FAQs

What does this independent and dependent probability worksheet cover?

This Grade 7 worksheet uses 18 multiple-choice questions to help students classify events as independent or dependent and calculate compound probabilities. Students compare situations such as repeated coin or number-cube trials, selections with replacement, and selections without replacement, then multiply the appropriate fractions for sequential outcomes.

How can I use this worksheet to teach independent and dependent probability?

Introduce the classification items first by asking whether the first outcome changes the conditions for the second, using the coin, spinner, sock, and CD scenarios as discussion prompts. Then model how to multiply probabilities for compound events, emphasizing the difference between keeping the same denominator when an item is replaced and reducing the total when it is not. Use the multiple-choice options to have students explain why an incorrect fraction does not fit the event conditions.

What mistakes should I watch for when students complete this probability worksheet?

Students may label every two-step event as dependent or overlook that separate coin, spinner, and number-cube trials remain independent. In the marble, chip, sock, and CD questions, watch for students who fail to adjust the total after an item is not replaced, or who use the original denominator when calculating the second draw. Students may also multiply favorable counts without first converting each event into its probability.

How do I assign and grade this independent and dependent probability worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for its 18 multiple-choice questions. For printed submissions, you can grade student work by scanning it with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this probability worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the probability scenarios and answer choices are easier to track. You can also apply a dyslexia-friendly font or translate the multiple-choice questions into another language, while keeping the independent/dependent classification and compound-probability practice intact.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, including downloadable PDFs with answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

© 2026 Wayground Inc.

Accessibility and Inclusion