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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 504 · 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 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
  2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
  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) 1/8 (d) 1/4
  6. 6.A bag has 8 green, 3 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/11 (b) 8/19 (c) 1/3 (d) 11/19
  7. 7.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 1/6 (d) 7/36
  9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 3/5 (d) 5/8
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
  11. 11.A bag has 3 red, 9 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/7 (b) 6/7 (c) 19/21 (d) 1/3
  12. 12.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
  13. 13.A bag has 2 blue, 4 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/7 (b) 3/4 (c) 1/3 (d) 4/7
  14. 14.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
  15. 15.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
  16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
  19. 19.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
  20. 20.A bag has 2 yellow, 3 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 7/12 (c) 5/12 (d) 1/3
  21. 21.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  22. 22.A bag has 6 blue, 5 white and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/13 (b) 12/13 (c) 1/3 (d) 11/13
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
  24. 24.A bag has 7 red, 3 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/3 (c) 4/9 (d) 5/9
  25. 25.A bag has 3 blue, 4 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/9 (b) 2/3 (c) 1/2 (d) 1/3
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
  27. 27.A bag has 3 blue, 2 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 3/8 (c) 1/3 (d) 5/8
  28. 28.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  29. 29.A bag has 7 yellow, 6 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 5/7 (c) 1/3 (d) 1/21
  30. 30.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
  31. 31.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
  32. 32.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
  33. 33.A bag has 6 white, 6 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/8 (c) 3/8 (d) 11/16
  34. 34.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
  35. 35.A bag has 8 yellow, 9 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 8/23 (c) 16/23 (d) 15/23
  36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 3/11 (c) 1/9 (d) 1/11
  37. 37.A bag has 7 green, 9 red and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/16 (b) 16/23 (c) 1/3 (d) 7/23
  38. 38.A bag has 4 yellow, 9 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/19 (b) 13/19 (c) 1/3 (d) 6/13
  39. 39.A bag has 5 red, 4 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/9 (b) 1/18 (c) 1/2 (d) 1/3
  40. 40.A bag has 5 blue, 4 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/5 (b) 2/3 (c) 1/2 (d) 1/3

Answer key

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

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