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

Independent and Dependent Probability

Corey Rudd

Created by Corey Rudd

15 questions

7th Grade

Math

Updated Sep 2026

This Grade 7 mathematics worksheet gives students 15 multiple-choice questions on independent and dependent probability. Students determine whether events are independent or dependent, then calculate probabilities for repeated trials, combined events, and selections made with or without replacement. The problems use dice, spinners, coins, cards, tiles, raffle tickets, marbles, chips, and candy to connect probability rules to familiar situations. Students practise multiplying probabilities across sequential events, adjusting probabilities when items are not replaced, and writing answers as fractions in lowest terms. This free printable worksheet includes a complete answer key and is suitable for guided practice, independent work, or a probability skills check.

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Independent and Dependent Probability

Total questions: 15

Name
Class
Date
1.
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
2.
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
3.
Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.
a)
Independent
b)
Dependent
4.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

a)

Independent

b)

Dependent

5.

Which event is independent?

a)

Selecting a card from a deck, not putting it back, then selecting another card.

b)

Picking 2 marbles from a bag without replacing the first marble

c)

Picking 2 crayons from a box without putting any back

d)

Rolling a die and spinning a spinner.

6.
Suppose two tiles are drawn from the collection shown. The first tile is not replaced before the second tile is drawn. Find…
Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/105
c)
3/71
7.
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
8.

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts. She puts the candy in the bowl. If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

a)

2/105

b)

7/210

c)

1/35

d)

2/75

9.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

10.
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
11.
What is the probability of tossing a coin four times and getting tails each time?
What is the probability of tossing a coin four times and getting tails each time?
a)
1/16
b)
1/8
c)
1/2
d)
1/4
12.
What is the probability of picking a green marble, keeping it, then picking green again? (leave answer in fraction form in…

What is the probability of picking a green marble, keeping it, then picking green again? (leave answer in fraction form in lowest terms)

a)

1/7

b)

1

c)

1/49

d)

0

13.
What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a…

What is the probability of picking a red marble and keeping it, picking another red marble and keeping it, then picking a blue marble? (leave answer in fraction form in lowest terms)

a)

2/105

b)

4/343

c)

2/63

d)

4/210

14.
Valentina has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize . What is the…

Valentina has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize? (leave answer in fraction form in lowest terms, and remember that the first ticket was already drawn out and was not replaced)

a)

1/3

b)

1/33

c)

3/100

d)

2/99

15.
A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the…

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting all 5 of them correct? (leave answer in fraction form in lowest terms)

a)

1/60

b)

1/32

c)

1/2

d)

1/6

WaygroundAnswer Key

Independent and Dependent Probability

Total questions: 15

1.
a) 1 ⁄ 16
2.
d) 1 ⁄ 12
3.
a) Independent
4.
b)

Dependent

5.
d)

Rolling a die and spinning a spinner.

6.
b) 1/105
7.
a) 1/36
8.
c)

1/35

9.
d)

1/45

10.
d) 1/4
11.
a) 1/16
12.
d)

0

13.
a)

2/105

14.
b)

1/33

15.
b)

1/32

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FAQs

What does this independent and dependent probability worksheet cover?

This Grade 7 worksheet uses 15 multiple-choice questions to help students classify events as independent or dependent and calculate probabilities for events occurring in sequence. Students multiply probabilities for independent trials, such as repeated coin tosses or a die and spinner, and update the numerator and denominator for dependent selections made without replacement.

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

Before students begin, model how to identify whether the first event changes the outcomes for the second event: replacing an item keeps the probability the same, while not replacing it changes the total and available outcomes. Then have students explain the setup for one independent example, such as rolling a die and spinning a spinner, and one dependent example involving successive marble, chip, or candy selections before completing the remaining multiple-choice items.

What mistakes should I watch for on this probability worksheet?

Students may treat selections without replacement as independent and reuse the original denominator for every draw. They may also forget to multiply the probabilities of sequential events, confuse a die-and-spinner combination with a dependent selection, or fail to reduce the final fraction, as required in several items.

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

On Wayground, you can assign this worksheet as a printable PDF or use it as a digital quiz, with all 15 multiple-choice probability questions available in either format. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this independent and dependent probability worksheet?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the probability word problems and multiple-choice options are easier to follow. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the sequential probability format 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, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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