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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 377 · 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 number less than 2? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
  3. 3.A bag has 6 yellow, 6 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
  5. 5.A bag has 2 yellow, 4 green and 5 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 10/11 (b) 1/3 (c) 9/11 (d) 2/11
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
  7. 7.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  8. 8.A bag has 6 white, 4 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/19 (b) 1/3 (c) 9/19 (d) 10/19
  9. 9.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
  10. 10.A bag has 6 green, 7 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 10/17 (b) 7/17 (c) 7/10 (d) 1/3
  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.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  13. 13.A bag has 5 green, 5 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/9 (b) 5/9 (c) 1/3 (d) 4/5
  14. 14.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
  15. 15.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/11 (c) 3/11 (d) 1/9
  17. 17.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
  18. 18.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) 1/8 (d) 3/8
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
  20. 20.A bag has 6 red, 6 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/10 (c) 3/7 (d) 3/10
  21. 21.A bag has 2 red, 4 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/7 (b) 2/7 (c) 1/3 (d) 11/14
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/12 (d) 1/11
  23. 23.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 3/8 (d) 1/8
  24. 24.A bag has 4 green, 9 red and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/7 (b) 1/3 (c) 3/4 (d) 3/7
  25. 25.A bag has 2 green, 5 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/8 (b) 1/8 (c) 1/7 (d) 1/3
  26. 26.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 5/8 (d) 1/4
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
  28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
  29. 29.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
  31. 31.A bag has 8 yellow, 7 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/17 (b) 15/17 (c) 16/17 (d) 1/3
  32. 32.A bag has 8 white, 8 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/9 (b) 1/3 (c) 4/5 (d) 4/9
  33. 33.A bag has 8 red, 6 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/11 (b) 17/22 (c) 8/11 (d) 1/3
  34. 34.A bag has 6 green, 9 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/19 (c) 9/10 (d) 10/19
  35. 35.A bag has 2 red, 4 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/4 (c) 2/3 (d) 1/12
  36. 36.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  37. 37.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
  38. 38.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
  39. 39.A bag has 6 yellow, 3 white and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/12 (b) 1/3 (c) 3/4 (d) 1/4
  40. 40.A bag has 8 green, 2 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 15/16 (b) 1/3 (c) 1/8 (d) 7/8

Answer key

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

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