Probability worksheet

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

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Probability

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

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

1.
A number cube is rolled 60 times. About how many times would you expect to roll a 3?
2.
A bag has 3 red, 8 blue and 5 green marbles. One is picked without looking. What is P(green)?
3.
A number cube (1 to 6) is rolled. What is the probability of rolling a prime number?
4.
A number cube is rolled 30 times. About how many times would you expect to roll a 5?
5.
A number cube (1 to 6) is rolled. What is the probability of rolling an even number?
6.
A bag has 9 red, 7 blue and 3 green marbles. One is picked without looking. What is P(not green)?
7.
A number cube is rolled 600 times. About how many times would you expect to roll a 6?
8.
A number cube (1 to 6) is rolled. What is the probability of rolling a number greater than 4?
9.
A bag has 9 red, 6 blue and 3 green marbles. One is picked without looking. What is P(green)?
10.
A number cube is rolled 600 times. About how many times would you expect to roll a 1?

Answer key: Probability

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

1. About 10 times
16 × 60 = 10
2. 516
5 out of 16
3. 12
2, 3, 5: 3 out of 6
4. About 5 times
16 × 30 = 5
5. 12
2, 4, 6: 3 out of 6
6. 1619
16 out of 19
7. About 100 times
16 × 600 = 100
8. 13
5, 6: 2 out of 6
9. 16
3 out of 18
10. About 100 times
16 × 600 = 100

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

About probability

Probability measures how likely something is, from 0 (impossible) to 1 (certain). When all outcomes are equally likely, the probability of an event is the number of ways it can happen divided by the total number of outcomes. Multiply a probability by the number of tries to predict how often it will happen.

Worked example 1

A bag has 7 red, 8 blue and 5 green marbles. One is picked without looking. What is P(red)?

Step 1.7 out of 20

Answer: 720

Worked example 2

A spinner has 10 equal sections numbered 1 to 10. What is the probability of landing on a multiple of 4?

Step 1.4, 8: 2 out of 10

Answer: 15

Worked example 3

A number cube (1 to 6) is rolled. What is the probability of rolling a number less than 6?

Step 1.1, 2, 3, 4, 5: 5 out of 6

Answer: 56

Watch out for

Count the total outcomes carefully: a number cube has 6.
P(not A) = 1 − P(A).
A probability can never be more than 1 or less than 0.

Practice probability online

On StudyWiz, your kid can practice 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.

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