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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 267 · 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) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
  2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
  5. 5.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
  6. 6.A bag has 9 red, 7 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 8/11 (b) 1/3 (c) 15/22 (d) 7/22
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
  8. 8.A bag has 5 white, 9 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/17 (b) 1/3 (c) 5/17 (d) 12/17
  9. 9.A bag has 7 white, 5 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 4/5 (c) 3/4 (d) 1/4
  10. 10.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/8 (d) 1/7
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
  12. 12.A bag has 2 blue, 3 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 9/11 (c) 10/11 (d) 2/11
  13. 13.A bag has 7 red, 7 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 15/22 (c) 7/22 (d) 7/15
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  16. 16.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  17. 17.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
  18. 18.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/4 (d) 1/2
  19. 19.A bag has 4 green, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 1/9 (c) 7/9 (d) 1/3
  20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
  23. 23.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 1/8 (d) 3/8
  24. 24.A bag has 6 red, 9 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/22 (b) 13/22 (c) 1/3 (d) 9/13
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
  27. 27.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
  28. 28.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
  29. 29.A bag has 7 red, 7 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/20 (c) 7/13 (d) 13/20
  30. 30.A bag has 3 yellow, 8 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/19 (b) 1/3 (c) 11/19 (d) 8/19
  31. 31.A bag has 6 green, 5 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/8 (c) 11/16 (d) 5/8
  32. 32.A bag has 5 red, 9 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 19/23 (b) 5/23 (c) 1/3 (d) 18/23
  33. 33.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
  34. 34.A bag has 5 blue, 2 red and 7 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/14 (b) 9/14 (c) 5/9 (d) 1/3
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
  36. 36.A bag has 2 green, 9 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/7 (c) 1/6 (d) 6/7
  37. 37.A bag has 5 green, 8 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 14/19 (c) 13/19 (d) 6/19
  38. 38.A bag has 8 red, 4 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/7 (b) 5/7 (c) 11/14 (d) 1/3
  39. 39.A bag has 7 green, 5 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 16/21 (b) 5/21 (c) 1/3 (d) 17/21
  40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3

Answer key

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

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