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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 887 · 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) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  2. 2.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
  3. 3.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
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
  5. 5.A bag has 4 yellow, 8 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 4/21 (c) 6/7 (d) 17/21
  6. 6.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
  7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
  8. 8.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 not yellow? (a) 1/3 (b) 16/19 (c) 15/19 (d) 4/19
  9. 9.A bag has 5 blue, 9 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/18 (b) 5/23 (c) 18/23 (d) 1/3
  10. 10.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
  11. 11.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
  12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/4
  13. 13.A bag has 5 yellow, 4 red and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/11 (b) 4/7 (c) 1/3 (d) 4/11
  14. 14.A bag has 5 green, 4 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/16 (b) 3/4 (c) 1/3 (d) 11/16
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
  16. 16.A bag has 5 green, 9 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 14/23 (b) 15/23 (c) 9/23 (d) 1/3
  17. 17.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
  18. 18.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  19. 19.A bag has 8 blue, 4 red and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/18 (c) 13/18 (d) 2/3
  20. 20.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
  21. 21.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  22. 22.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 7/8 (d) 1/7
  23. 23.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
  24. 24.A bag has 4 green, 2 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/12 (b) 2/3 (c) 1/2 (d) 1/3
  25. 25.A bag has 7 white, 8 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 5/9 (c) 4/9 (d) 1/3
  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) 1/6 (d) 1/11
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
  28. 28.A bag has 5 yellow, 9 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/7 (b) 1/3 (c) 13/21 (d) 4/7
  29. 29.A bag has 8 white, 2 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
  31. 31.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
  32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 1/11 (d) 2/11
  34. 34.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
  35. 35.A bag has 3 green, 5 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/4 (b) 4/7 (c) 1/3 (d) 3/7
  36. 36.A bag has 3 red, 4 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/5 (b) 4/15 (c) 11/15 (d) 1/3
  37. 37.A bag has 5 white, 7 red and 9 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 17/21 (b) 1/3 (c) 16/21 (d) 5/21
  38. 38.A bag has 8 white, 9 green and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/25 (b) 8/17 (c) 1/3 (d) 17/25
  39. 39.A bag has 4 white, 8 red and 6 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/5 (b) 4/9 (c) 1/3 (d) 5/9
  40. 40.A bag has 9 red, 9 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/11 (b) 1/3 (c) 11/20 (d) 9/20

Answer key

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

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