Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

UK: choose your country
Practise online insteadThe answer key prints on page 2.

Probability of two independent events with replacement

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

The first draw is put back, so the two draws do not affect each other. Multiply the two probabilities.

  1. A bag has 12 red and 10 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  2. A bag has 1 red and 9 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  3. A bag has 1 red and 6 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  4. A bag has 11 red and 12 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  5. A bag has 15 red and 6 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  6. A bag has 5 red and 5 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  7. A bag has 4 red and 11 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  8. A bag has 14 red and 7 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  9. A bag has 13 red and 9 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  10. A bag has 15 red and 4 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  11. A bag has 7 red and 7 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  12. A bag has 10 red and 18 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  13. A bag has 18 red and 10 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  14. A bag has 10 red and 6 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  15. A bag has 11 red and 2 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  16. A bag has 4 red and 17 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  17. A bag has 17 red and 8 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  18. A bag has 25 red and 27 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  19. A bag has 20 red and 25 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
  20. A bag has 11 red and 16 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/uk/practice/year-8/probability-of-two-independent-events-with-replacement/

Answer key: Probability of two independent events with replacement

  1. 36/121
  2. 1/100
  3. 1/49
  4. 121/529
  5. 25/49
  6. 1/4
  7. 16/225
  8. 4/9
  9. 169/484
  10. 225/361
  11. 1/4
  12. 25/196
  13. 81/196
  14. 25/64
  15. 121/169
  16. 16/441
  17. 289/625
  18. 625/2704
  19. 16/81
  20. 121/729