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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 162 · 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.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
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 3/11 (c) 1/11 (d) 1/9
  3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
  5. 5.A bag has 4 white, 3 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 7/10 (c) 3/5 (d) 2/5
  6. 6.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  7. 7.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
  8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
  9. 9.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
  10. 10.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) 1/2 (d) 1/4
  11. 11.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  12. 12.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
  13. 13.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
  14. 14.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
  16. 16.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  17. 17.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 7/8 (d) 1/4
  18. 18.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
  19. 19.A bag has 2 blue, 2 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/7 (b) 1/3 (c) 5/7 (d) 3/7
  20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/5 (d) 1/3
  21. 21.A bag has 5 red, 5 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/13 (c) 5/8 (d) 8/13
  22. 22.A bag has 6 green, 5 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 11/16 (c) 5/11 (d) 5/16
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  24. 24.A bag has 4 white, 2 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/7 (b) 1/3 (c) 3/7 (d) 3/4
  25. 25.A bag has 4 red, 3 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/7 (c) 7/10 (d) 3/10
  26. 26.A bag has 6 yellow, 7 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/7 (b) 2/5 (c) 1/3 (d) 2/7
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
  28. 28.A bag has 2 red, 6 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/7 (b) 4/7 (c) 1/3 (d) 3/4
  29. 29.A bag has 3 green, 4 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/8 (b) 13/16 (c) 1/3 (d) 3/16
  30. 30.A bag has 9 red, 3 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/21 (b) 3/7 (c) 4/7 (d) 1/3
  31. 31.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 1/4 (c) 3/8 (d) 3/4
  32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 7/36 (d) 6/11
  33. 33.A bag has 6 white, 4 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 10/19 (c) 9/19 (d) 9/10
  34. 34.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
  35. 35.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
  36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  37. 37.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  38. 38.A bag has 6 red, 6 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
  39. 39.A bag has 3 red, 2 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/8 (b) 3/4 (c) 5/8 (d) 1/3
  40. 40.A bag has 4 red, 7 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/6 (c) 2/9 (d) 7/9

Answer key

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

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