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Grade 7 Math · Probability

Grade 7 Probability Practice Test

Build Grade 7 Math skills with five 10-question practice tests on theoretical probability, experimental probability, complements, compound events, sample spaces, and expected outcomes.

Probability Practice Tests

These Grade 7 Math practice tests help students describe and calculate chance. Students work with theoretical and experimental probability, complements, sample spaces, independent events, compound events, and expected outcomes.

Skills covered

  • Calculating theoretical probability from favorable and total outcomes
  • Finding the probability of a complement
  • Using sample spaces and the multiplication rule for independent events
  • Comparing experimental and theoretical probability
  • Finding expected numbers of outcomes
  • Solving with replacement and without replacement

How to use these practice tests

Probability is the ratio of favorable outcomes to total equally likely outcomes. A complement has probability 1 − P(event). For independent events, multiply the probabilities; for experimental probability, divide observed successes by the number of trials.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Probability Practice Tests

A 10-question Grade 7 Math practice test on theoretical and experimental probability, complements, sample spaces, independent events, and expected outcomes.

Count favorable and total outcomes, simplify probabilities, use complements when helpful, and multiply probabilities for independent events.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A fair coin is flipped and a fair die is rolled. What is the probability of heads and a 6?

Please select an answer first.

Correct answer: A

The correct answer is 112\frac{1}{12}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: The independent probabilities multiply: 12⋅16=112\frac{1}{2}\cdot\frac{1}{6}=\frac{1}{12}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

The independent probabilities multiply: 12⋅16=112\frac{1}{2}\cdot\frac{1}{6}=\frac{1}{12}.

2. QuestionMultiple choice

Two fair coins are flipped. What is the probability that both show heads?

Please select an answer first.

Correct answer: B

The correct answer is 14\frac{1}{4}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: Multiply the independent probabilities: 12⋅12=14\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

Multiply the independent probabilities: 12⋅12=14\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}.

3. QuestionMultiple choice

A fair die is rolled twice. What is the probability that both rolls are 6?

Please select an answer first.

Correct answer: C

The correct answer is 136\frac{1}{36}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: Multiply the independent probabilities: 16⋅16=136\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

Multiply the independent probabilities: 16⋅16=136\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}.

4. QuestionMultiple choice

A spinner has probability 13\frac{1}{3} of red, and a coin is flipped. What is the probability of red and tails?

Please select an answer first.

Correct answer: D

The correct answer is 16\frac{1}{6}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: Multiply: 13⋅12=16\frac{1}{3}\cdot\frac{1}{2}=\frac{1}{6}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

Multiply: 13⋅12=16\frac{1}{3}\cdot\frac{1}{2}=\frac{1}{6}.

5. QuestionMultiple choice

A letter is selected from A, B, C, D, E and a fair die is rolled. What is the probability of selecting a vowel and rolling an even number?

Please select an answer first.

Correct answer: A

The correct answer is 15\frac{1}{5}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: There are 2 vowels out of 5 and 3 even die outcomes out of 6: 25⋅12=15\frac{2}{5}\cdot\frac{1}{2}=\frac{1}{5}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

There are 2 vowels out of 5 and 3 even die outcomes out of 6: 25⋅12=15\frac{2}{5}\cdot\frac{1}{2}=\frac{1}{5}.

6. QuestionMultiple choice

A bag has probability 25\frac{2}{5} of red. What is the probability of red and heads on a fair coin flip?

Please select an answer first.

Correct answer: B

The correct answer is 15\frac{1}{5}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: Multiply: 25⋅12=15\frac{2}{5}\cdot\frac{1}{2}=\frac{1}{5}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

Multiply: 25⋅12=15\frac{2}{5}\cdot\frac{1}{2}=\frac{1}{5}.

7. QuestionMultiple choice

Two fair dice are rolled. What is the probability that their sum is 7?

Please select an answer first.

Correct answer: C

The correct answer is 16\frac{1}{6}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: There are 6 ways to make 7 out of 36 ordered outcomes: 636=16\frac{6}{36}=\frac{1}{6}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

There are 6 ways to make 7 out of 36 ordered outcomes: 636=16\frac{6}{36}=\frac{1}{6}.

8. QuestionMultiple choice

A spinner has 4 equal sections, one blue. It is spun twice. What is the probability of blue both times?

Please select an answer first.

Correct answer: D

The correct answer is 116\frac{1}{16}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: Multiply: 14⋅14=116\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

Multiply: 14⋅14=116\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}.

9. QuestionMultiple choice

A fair coin and a fair die are used. What is the probability of tails and an odd number?

Please select an answer first.

Correct answer: A

The correct answer is 14\frac{1}{4}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: The probabilities multiply: 12⋅12=14\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

The probabilities multiply: 12⋅12=14\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}.

10. QuestionMultiple choice

A bag has probability 38\frac{3}{8} of blue. What is the probability of blue and rolling greater than 4 on a fair die?

Please select an answer first.

Correct answer: B

The correct answer is 18\frac{1}{8}.

  1. Describe the sample space: Count the equally likely outcomes or identify the favorable outcomes for the event.
  2. Calculate the probability: The die probability is 26=13\frac{2}{6}=\frac{1}{3}. Multiply: 38⋅13=18\frac{3}{8}\cdot\frac{1}{3}=\frac{1}{8}.
  3. Check the result: Confirm that the probability is between 0 and 1 and that the fraction or decimal is simplified.

The die probability is 26=13\frac{2}{6}=\frac{1}{3}. Multiply: 38⋅13=18\frac{3}{8}\cdot\frac{1}{3}=\frac{1}{8}.

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Frequently asked questions about Grade 7 Probability

What is theoretical probability?

Theoretical probability is the ratio of favorable outcomes to all equally likely outcomes in the sample space.

What is experimental probability?

Experimental probability is found by dividing the number of observed successes by the total number of trials.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Probability questions in total.