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Probability Worksheet for Class 8 Maths Olympiad

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

Answer key

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

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