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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 696 · 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 a number greater than 4? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  3. 3.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
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
  5. 5.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) 3/4 (d) 3/8
  6. 6.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
  7. 7.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
  8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  9. 9.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  11. 11.A bag has 5 green, 5 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/8 (b) 11/16 (c) 5/8 (d) 1/3
  12. 12.A bag has 3 yellow, 9 green and 8 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/5 (c) 9/20 (d) 11/20
  13. 13.A bag has 4 yellow, 5 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/18 (b) 1/3 (c) 5/9 (d) 1/2
  14. 14.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
  15. 15.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
  16. 16.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
  17. 17.A bag has 2 red, 7 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/17 (b) 15/17 (c) 1/3 (d) 16/17
  18. 18.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 1/8 (d) 7/8
  19. 19.A bag has 8 white, 4 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/8 (b) 7/15 (c) 1/3 (d) 8/15
  20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
  22. 22.A bag has 5 blue, 4 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 8/11 (c) 4/11 (d) 7/11
  23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
  24. 24.A bag has 2 white, 2 red and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/12 (b) 3/4 (c) 2/3 (d) 1/3
  25. 25.A bag has 9 white, 3 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/4 (c) 3/4 (d) 13/16
  26. 26.A bag has 7 red, 3 white and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/19 (b) 7/12 (c) 1/3 (d) 12/19
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
  28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
  29. 29.A bag has 6 blue, 3 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/11 (b) 1/3 (c) 5/11 (d) 7/11
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
  31. 31.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  32. 32.A bag has 4 blue, 2 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/3 (c) 1/9 (d) 7/9
  33. 33.A bag has 3 green, 3 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/13 (b) 6/7 (c) 6/13 (d) 1/3
  34. 34.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
  35. 35.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  36. 36.A bag has 7 white, 3 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/10 (c) 10/13 (d) 3/13
  37. 37.A bag has 3 white, 8 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 10/17 (b) 9/17 (c) 1/3 (d) 8/17
  38. 38.A bag has 2 green, 3 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/5 (b) 2/7 (c) 5/7 (d) 1/3
  39. 39.A bag has 9 yellow, 9 green and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/26 (b) 9/17 (c) 17/26 (d) 1/3
  40. 40.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

Answer key

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

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