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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 306 · 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) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
  3. 3.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
  5. 5.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
  6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/4 (c) 5/6 (d) 1/3
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
  8. 8.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
  9. 9.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
  10. 10.A bag has 6 white, 4 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 15/19 (b) 4/15 (c) 4/19 (d) 1/3
  11. 11.A bag has 6 green, 6 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 6/19 (b) 13/19 (c) 14/19 (d) 1/3
  12. 12.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
  13. 13.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
  14. 14.A bag has 4 white, 7 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/7 (c) 11/14 (d) 5/7
  15. 15.A bag has 5 yellow, 5 red and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 1/3 (c) 2/3 (d) 1/2
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
  17. 17.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
  19. 19.A bag has 2 blue, 2 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/3 (b) 1/3 (c) 2/5 (d) 3/5
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
  21. 21.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
  22. 22.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
  23. 23.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) 1/4 (d) 1/2
  24. 24.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
  25. 25.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  26. 26.A bag has 4 yellow, 7 green and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/7 (b) 2/5 (c) 2/7 (d) 1/3
  27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 7/8 (d) 1/4
  28. 28.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
  29. 29.A bag has 3 blue, 7 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/15 (b) 11/15 (c) 2/3 (d) 1/3
  30. 30.A bag has 2 green, 8 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 3/7 (c) 4/7 (d) 1/3
  31. 31.A bag has 3 red, 7 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 17/19 (c) 3/19 (d) 16/19
  32. 32.A bag has 8 green, 6 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/9 (b) 4/9 (c) 1/3 (d) 11/18
  33. 33.A bag has 4 white, 2 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 1/2 (c) 5/12 (d) 1/3
  34. 34.A bag has 4 red, 2 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/3
  35. 35.A bag has 7 red, 7 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 10/17 (b) 1/3 (c) 7/17 (d) 7/10
  36. 36.A bag has 2 red, 7 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/2 (c) 1/18 (d) 5/9
  37. 37.A bag has 2 red, 2 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/4 (b) 1/5 (c) 1/3 (d) 4/5
  38. 38.A bag has 3 yellow, 3 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
  39. 39.A bag has 4 blue, 4 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/4 (b) 1/3 (c) 3/4 (d) 5/16
  40. 40.A bag has 9 yellow, 3 white and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/15 (c) 4/5 (d) 1/5

Answer key

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

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