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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 641 · 40 questions
TalentJR

How to solve it (Favourable over total): Probability = number of favourable outcomes ÷ total number of equally likely outcomes. List the outcomes: a dice has 6, two coins have 4 (HH, HT, TH, TT), three coins have 8, two dice have 36. Write the answer as a fraction in its lowest terms; a probability is never more than 1.

NameDateTime takenScore ___ / 40
  1. 1.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
  2. 2.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/8 (d) 1/4
  3. 3.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 1/4 (c) 3/4 (d) 3/8
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
  7. 7.A bag has 8 red, 2 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/19 (c) 10/19 (d) 9/19
  8. 8.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
  9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5
  10. 10.A bag has 4 yellow, 3 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/15 (b) 3/5 (c) 8/15 (d) 1/3
  11. 11.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  12. 12.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
  13. 13.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
  15. 15.A bag has 6 blue, 5 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 2/5 (c) 2/3 (d) 1/3
  16. 16.A bag has 8 green, 7 red and 4 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/19 (b) 1/3 (c) 8/11 (d) 8/19
  17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
  18. 18.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  19. 19.A bag has 8 green, 5 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/10 (b) 1/4 (c) 1/3 (d) 3/4
  20. 20.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
  22. 22.A bag has 5 red, 7 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 14/19 (c) 5/19 (d) 5/14
  23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  24. 24.A bag has 2 red, 4 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/5 (c) 4/5 (d) 1/4
  25. 25.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
  26. 26.A bag has 3 green, 3 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/9 (b) 1/9 (c) 2/3 (d) 1/3
  27. 27.A bag has 5 green, 2 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/3 (c) 1/6 (d) 5/6
  28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
  29. 29.A bag has 9 blue, 6 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 17/23 (c) 6/23 (d) 18/23
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
  31. 31.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 3/8 (d) 1/4
  32. 32.A bag has 3 green, 2 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/11 (b) 1/3 (c) 9/11 (d) 2/9
  33. 33.A bag has 8 red, 6 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/11 (b) 11/17 (c) 1/3 (d) 6/17
  34. 34.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
  35. 35.A bag has 9 green, 3 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
  36. 36.A bag has 4 red, 7 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 7/11 (c) 7/18 (d) 11/18
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
  38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 1/11 (d) 2/11
  39. 39.A bag has 6 blue, 5 white and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 7/13 (c) 6/13 (d) 6/7
  40. 40.A bag has 6 yellow, 7 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/20 (b) 7/10 (c) 13/20 (d) 1/3

Answer key

  1. 1/12
  2. 1/8
  3. 3/4
  4. 1/18
  5. 5/36
  6. 5/36
  7. 10/19
  8. 1/6
  9. 3/8
  10. 8/15
  11. 2/3
  12. 3/4
  13. 1/2
  14. 1/36
  15. 1/3
  16. 8/19
  17. 2/3
  18. 1/3
  19. 1/4
  20. 1/4
  21. 1/9
  22. 5/19
  23. 1/2
  24. 1/5
  25. 1/2
  26. 2/3
  27. 1/6
  28. 1/36
  29. 17/23
  30. 1/12
  31. 7/8
  32. 2/11
  33. 6/17
  34. 1/2
  35. 2/5
  36. 7/18
  37. 1/9
  38. 1/18
  39. 6/13
  40. 13/20

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