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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 227 · 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) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  2. 2.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  3. 3.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
  5. 5.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  6. 6.A fair dice is rolled once. What is the probability of getting a factor of 6? (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 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
  8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
  9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
  10. 10.A bag has 8 red, 3 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/16 (b) 1/3 (c) 13/16 (d) 3/13
  11. 11.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 7/8 (d) 1/8
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
  13. 13.A bag has 9 red, 2 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/20 (b) 9/11 (c) 1/3 (d) 11/20
  14. 14.A bag has 9 red, 6 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/11 (c) 17/22 (d) 8/11
  15. 15.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
  16. 16.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 3/4 (d) 1/8
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
  18. 18.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
  19. 19.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
  20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
  21. 21.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
  22. 22.A bag has 2 red, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/3 (b) 4/9 (c) 5/9 (d) 1/3
  23. 23.A bag has 7 green, 8 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 8/11 (c) 11/19 (d) 8/19
  24. 24.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
  25. 25.A bag has 2 green, 6 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/8 (b) 3/8 (c) 1/3 (d) 11/16
  26. 26.A bag has 5 yellow, 2 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/7 (b) 5/12 (c) 1/3 (d) 7/12
  27. 27.A bag has 4 blue, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 11/15 (c) 4/15 (d) 4/11
  28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
  30. 30.A bag has 4 yellow, 4 white and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/11 (b) 1/3 (c) 11/15 (d) 4/15
  31. 31.A bag has 3 yellow, 3 red and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/14 (b) 1/3 (c) 4/7 (d) 3/7
  32. 32.A bag has 2 blue, 6 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
  33. 33.A bag has 6 white, 4 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 7/12 (c) 1/3 (d) 1/12
  34. 34.A bag has 7 green, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/5 (b) 3/5 (c) 13/20 (d) 1/3
  35. 35.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/4
  36. 36.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
  37. 37.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  38. 38.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  39. 39.A bag has 2 red, 3 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/13 (b) 3/10 (c) 1/3 (d) 3/13
  40. 40.A bag has 9 red, 8 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/26 (b) 17/26 (c) 9/13 (d) 1/3

Answer key

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

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