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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 655 · 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.A bag has 6 white, 7 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 15/22 (c) 7/15 (d) 7/22
  2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  3. 3.A bag has 8 yellow, 8 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 18/25 (c) 17/25 (d) 8/25
  4. 4.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  5. 5.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/4
  6. 6.A bag has 8 green, 2 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/12 (c) 5/6 (d) 1/6
  7. 7.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 1/8 (d) 3/8
  8. 8.A bag has 2 red, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/13 (c) 7/13 (d) 6/13
  9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
  11. 11.A bag has 8 yellow, 7 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/2 (c) 2/3 (d) 8/21
  12. 12.A bag has 8 red, 5 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/13 (b) 13/16 (c) 3/16 (d) 1/3
  13. 13.A bag has 6 blue, 4 green and 5 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
  15. 15.A bag has 3 blue, 9 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 1/18 (d) 5/9
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/18 (d) 1/12
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
  18. 18.A bag has 2 yellow, 3 green and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/11 (c) 2/13 (d) 11/13
  19. 19.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
  20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  22. 22.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
  23. 23.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
  24. 24.A bag has 8 red, 2 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 10/19 (c) 9/19 (d) 9/10
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
  26. 26.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 3/8 (d) 1/8
  28. 28.A bag has 7 red, 6 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 14/19 (b) 1/3 (c) 6/19 (d) 13/19
  29. 29.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
  30. 30.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
  31. 31.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
  32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
  34. 34.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  35. 35.A bag has 6 white, 5 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/14 (b) 3/11 (c) 11/14 (d) 1/3
  36. 36.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
  38. 38.A bag has 4 green, 2 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/7 (b) 1/3 (c) 3/7 (d) 9/14
  39. 39.A bag has 2 white, 5 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 1/2 (c) 2/3 (d) 1/3
  40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11

Answer key

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

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