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Probability of two draws without replacement

Grade 7 math · Fieldbook Learning

Name ______________________ Date __________

The first marble is not put back, so the second draw has fewer marbles. Multiply the two probabilities.

  1. A bag has 6 red and 7 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  2. A bag has 3 red and 1 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  3. A bag has 7 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  4. A bag has 3 red and 7 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  5. A bag has 7 red and 10 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  6. A bag has 3 red and 2 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  7. A bag has 9 red and 6 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  8. A bag has 9 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  9. A bag has 4 red and 9 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  10. A bag has 5 red and 9 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  11. A bag has 8 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  12. A bag has 4 red and 3 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  13. A bag has 9 red and 7 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  14. A bag has 5 red and 12 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  15. A bag has 14 red and 5 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  16. A bag has 9 red and 11 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  17. A bag has 11 red and 6 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  18. A bag has 9 red and 18 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  19. A bag has 18 red and 15 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
  20. A bag has 3 red and 5 blue marbles. Two marbles are drawn one after the other and the first is NOT put back. What is the probability that both are red? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/ca/practice/grade-7/probability-of-two-draws-without-replacement/

Answer key: Probability of two draws without replacement

  1. 5/26
  2. 1/2
  3. 7/15
  4. 1/15
  5. 21/136
  6. 3/10
  7. 12/35
  8. 6/11
  9. 1/13
  10. 10/91
  11. 28/55
  12. 2/7
  13. 3/10
  14. 5/68
  15. 91/171
  16. 18/95
  17. 55/136
  18. 4/39
  19. 51/176
  20. 3/28