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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 61 · 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 an even number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  2. 2.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
  3. 3.A bag has 5 red, 3 green and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/15 (b) 7/15 (c) 1/3 (d) 3/5
  4. 4.A bag has 4 blue, 5 green and 7 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/4 (b) 1/3 (c) 5/16 (d) 11/16
  5. 5.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
  6. 6.A bag has 5 green, 2 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/11 (c) 4/11 (d) 4/7
  7. 7.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) 1/2 (d) 1/4
  8. 8.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
  9. 9.A bag has 5 red, 7 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/8 (c) 9/16 (d) 7/16
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
  11. 11.A bag has 8 green, 9 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/21 (b) 3/7 (c) 1/3 (d) 4/7
  12. 12.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
  13. 13.A bag has 6 red, 8 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/11 (c) 17/22 (d) 3/11
  14. 14.A bag has 3 green, 6 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/5 (b) 1/3 (c) 4/5 (d) 13/15
  15. 15.A bag has 8 green, 4 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/19 (b) 1/3 (c) 16/19 (d) 15/19
  16. 16.A bag has 4 red, 4 white and 9 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/17 (b) 4/13 (c) 1/3 (d) 4/17
  17. 17.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
  18. 18.A bag has 8 green, 5 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/18 (b) 7/9 (c) 5/18 (d) 1/3
  19. 19.A bag has 3 red, 5 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 1/5 (c) 4/5 (d) 1/3
  20. 20.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
  21. 21.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/4 (d) 1/8
  22. 22.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  23. 23.A bag has 6 red, 6 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/7 (c) 3/4 (d) 3/7
  24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  25. 25.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
  26. 26.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 3/8 (d) 1/4
  27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  28. 28.A bag has 9 red, 8 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 14/23 (c) 15/23 (d) 9/23
  29. 29.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
  30. 30.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  31. 31.A bag has 5 yellow, 5 red and 6 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/8 (b) 1/3 (c) 3/5 (d) 5/8
  32. 32.A bag has 9 yellow, 6 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/17 (c) 6/17 (d) 12/17
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
  34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
  35. 35.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
  36. 36.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/8 (d) 1/4
  37. 37.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
  38. 38.A bag has 9 green, 4 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/17 (b) 10/17 (c) 9/17 (d) 1/3
  39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/11 (c) 1/12 (d) 1/9
  40. 40.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5

Answer key

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

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