Compound probability worksheet

Grade 7 math, Common Core 7.SP.C.8. 10 problems with an answer key and worked steps. Free to print, and you can make new problems any time.

By the StudyWiz teamUpdated October 23, 2026How we write our pages

Print the answer key

NameDate

Compound probability

Grade 7 math, Common Core 7.SP.C.8

Find each probability. Write it as a fraction in simplest form.

1.
A spinner has 4 equal sections: A, B, C, D. It is spun twice. What is P(B then C)?
2.
A bag has 4 red and 4 blue cubes. You pick one, put it back, then pick again. What is P(red, then blue)?
3.
Two number cubes are rolled. What is the probability of rolling doubles?
4.
Omar has 2 shirts, 3 pairs of pants and 3 hats. How many different outfits of one shirt, one pair of pants and one hat are possible?
5.
Two number cubes are rolled. What is the probability of rolling a sum of 7?
6.
A spinner has 3 equal sections: A, B, C. It is spun twice. What is P(B then C)?
7.
Two number cubes are rolled. What is the probability of rolling a sum of 10?
8.
Nia has 2 shirts, 2 pairs of pants and 3 hats. How many different outfits of one shirt, one pair of pants and one hat are possible?
9.
Omar has 6 shirts, 4 pairs of pants and 4 hats. How many different outfits of one shirt, one pair of pants and one hat are possible?
10.
A coin is flipped and a number cube is rolled. What is P(tails and a number greater than 2)?

Answer key: Compound probability

Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.

1. 116
14 × 14 = 116
2. 14
12 × 12 = 14
3. 16
6 out of 36 outcomes
4. 18 outfits
2 × 3 × 3 = 18
5. 16
6 out of 36 outcomes
6. 19
13 × 13 = 19
7. 112
3 out of 36 outcomes
8. 12 outfits
2 × 2 × 3 = 12
9. 96 outfits
6 × 4 × 4 = 96
10. 13
12 × 23 = 13

The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.

About compound probability

A compound event is made of two or more simple events, like flipping a coin and rolling a number cube. List the outcomes in a table or tree, or, when the events don’t affect each other, multiply their probabilities: P(heads and a 6) = 12 × 16 = 112.

Worked example 1

A bag has 3 red and 2 blue cubes. You pick one, put it back, then pick again. What is P(red, then blue)?

Step 1.35 × 25 = 625

Answer: 625

Worked example 2

A coin is flipped and a number cube is rolled. What is P(tails and a 6)?

Step 1.12 × 16 = 112

Answer: 112

Worked example 3

Zoe has 5 shirts, 3 pairs of pants and 2 hats. How many different outfits of one shirt, one pair of pants and one hat are possible?

Step 1.5 × 3 × 2 = 30

Answer: 30 outfits

Watch out for

Total outcomes for two events = outcomes of the first × outcomes of the second.
Two number cubes have 36 outcomes, not 12.
With replacement, the second pick has the same total as the first.

Practice compound probability online

On StudyWiz, your kid can practice compound probability with 5-question quizzes that are checked as they go, with an explanation for every answer. When a homework problem is the trouble, Wiz gives a hint for each step instead of the answer.

Keep reading

Try Wiz with tonight’s homework

Free to start, no card needed. Each kid gets 3 homework questions, 5 practice quizzes and 1 writing review a day on the free plan.

Start free See pricing