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Probability of rolling a sum with two dice

Grade 7 math · Fieldbook Learning

Name ______________________ Date __________

List the equally likely outcomes. Probability = favourable ÷ total, as a fraction in lowest terms.

  1. Two fair 6-sided dice are rolled. What is the probability that the sum is more than 10? Write a fraction in lowest terms.
  2. Two fair 6-sided dice are rolled. What is the probability that the sum is less than 8? Write a fraction in lowest terms.
  3. Two fair 6-sided dice are rolled. What is the probability that the sum is at most 2? Write a fraction in lowest terms.
  4. Two fair 6-sided dice are rolled. What is the probability that the sum is more than 4? Write a fraction in lowest terms.
  5. Two fair 6-sided dice are rolled. What is the probability that the sum is 5? Write a fraction in lowest terms.
  6. Two fair 4-sided dice are rolled. What is the probability that the sum is at least 5? Write a fraction in lowest terms.
  7. Two fair 4-sided dice are rolled. What is the probability that the sum is more than 5? Write a fraction in lowest terms.
  8. Two fair 4-sided dice are rolled. What is the probability that the sum is 7? Write a fraction in lowest terms.
  9. Two fair 8-sided dice are rolled. What is the probability that the sum is more than 12? Write a fraction in lowest terms.
  10. Two fair 6-sided dice are rolled. What is the probability that the sum is at most 6? Write a fraction in lowest terms.
  11. Two fair 6-sided dice are rolled. What is the probability that the sum is more than 5? Write a fraction in lowest terms.
  12. Two fair 8-sided dice are rolled. What is the probability that the sum is at least 15? Write a fraction in lowest terms.
  13. Two fair 4-sided dice are rolled. What is the probability that the sum is more than 7? Write a fraction in lowest terms.
  14. Two fair 4-sided dice are rolled. What is the probability that the sum is at least 3? Write a fraction in lowest terms.
  15. Two fair 6-sided dice are rolled. What is the probability that the sum is 6? Write a fraction in lowest terms.
  16. Two fair 8-sided dice are rolled. What is the probability that the sum is at least 7? Write a fraction in lowest terms.
  17. Two fair 12-sided dice are rolled. What is the probability that the sum is at most 20? Write a fraction in lowest terms.
  18. Two fair 6-sided dice are rolled. What is the probability that the sum is at least 11? Write a fraction in lowest terms.
  19. Two fair 8-sided dice are rolled. What is the probability that the sum is at least 10? Write a fraction in lowest terms.
  20. Two fair 6-sided dice are rolled. What is the probability that the sum is at least 8? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/ca/practice/grade-7/probability-of-rolling-a-sum-with-two-dice/

Answer key: Probability of rolling a sum with two dice

  1. 1/12
  2. 7/12
  3. 1/36
  4. 5/6
  5. 1/9
  6. 5/8
  7. 3/8
  8. 1/8
  9. 5/32
  10. 5/12
  11. 13/18
  12. 3/64
  13. 1/16
  14. 15/16
  15. 5/36
  16. 49/64
  17. 67/72
  18. 1/12
  19. 7/16
  20. 5/12