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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 867 · 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 multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  2. 2.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
  3. 3.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
  4. 4.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  5. 5.A bag has 6 white, 6 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/18 (b) 2/3 (c) 1/2 (d) 1/3
  6. 6.A bag has 7 yellow, 7 red and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 14/19 (b) 5/14 (c) 5/19 (d) 1/3
  7. 7.A bag has 2 white, 6 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 1/3 (c) 7/10 (d) 3/5
  8. 8.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
  9. 9.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  10. 10.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
  11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
  12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
  15. 15.A bag has 3 red, 6 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/8 (b) 9/16 (c) 1/3 (d) 7/16
  16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
  18. 18.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
  19. 19.A bag has 5 green, 9 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/22 (b) 13/22 (c) 1/3 (d) 7/11
  20. 20.A bag has 3 red, 8 green and 4 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 7/15 (c) 8/15 (d) 1/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
  23. 23.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
  24. 24.A bag has 7 white, 3 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/14 (c) 1/2 (d) 4/7
  25. 25.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
  26. 26.A bag has 9 blue, 3 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 17/20 (c) 3/20 (d) 9/10
  27. 27.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) 3/8 (d) 1/8
  28. 28.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
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/11 (c) 1/6 (d) 6/11
  30. 30.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
  31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
  32. 32.A bag has 4 green, 3 red and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/15 (b) 8/15 (c) 1/3 (d) 3/5
  33. 33.A bag has 9 yellow, 4 red and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/17 (b) 9/17 (c) 1/3 (d) 10/17
  34. 34.A bag has 9 blue, 8 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/23 (b) 1/3 (c) 14/23 (d) 15/23
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
  36. 36.A bag has 4 green, 8 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/17 (b) 9/17 (c) 10/17 (d) 1/3
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
  38. 38.A bag has 9 red, 5 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 14/17 (c) 3/14 (d) 3/17
  39. 39.A bag has 9 red, 2 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/9 (c) 9/14 (d) 5/14
  40. 40.A bag has 4 blue, 9 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/5 (b) 17/20 (c) 4/5 (d) 1/3

Answer key

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

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