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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 324 · 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 at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
  2. 2.A bag has 9 blue, 9 white and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/14 (b) 1/3 (c) 14/23 (d) 9/23
  3. 3.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
  4. 4.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  5. 5.A bag has 9 red, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/20 (c) 9/20 (d) 3/5
  6. 6.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
  7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
  8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  9. 9.A bag has 9 red, 8 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/11 (b) 1/3 (c) 13/22 (d) 9/22
  10. 10.A bag has 9 yellow, 9 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 9/23 (c) 9/14 (d) 14/23
  11. 11.A bag has 3 red, 2 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/8 (b) 1/3 (c) 5/8 (d) 3/4
  12. 12.A bag has 2 yellow, 3 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/9 (b) 1/3 (c) 7/9 (d) 8/9
  13. 13.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
  14. 14.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  15. 15.A bag has 6 red, 3 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/5 (c) 5/8 (d) 3/8
  16. 16.A bag has 3 green, 5 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/11 (b) 1/3 (c) 8/11 (d) 3/11
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
  19. 19.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
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
  21. 21.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
  23. 23.A bag has 4 blue, 5 red and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/14 (c) 5/9 (d) 5/14
  24. 24.A bag has 5 red, 2 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/5 (b) 1/3 (c) 1/6 (d) 5/6
  25. 25.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/4 (c) 1/8 (d) 3/8
  26. 26.A bag has 8 blue, 4 red and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 1/5 (c) 1/3 (d) 4/5
  27. 27.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
  28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 7/36 (d) 1/11
  30. 30.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
  31. 31.A bag has 4 blue, 3 green and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/14 (b) 11/14 (c) 3/11 (d) 1/3
  32. 32.A bag has 4 red, 8 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 6/7 (b) 17/21 (c) 4/21 (d) 1/3
  33. 33.A bag has 4 red, 8 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 10/17 (c) 8/17 (d) 9/17
  34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
  35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 5/8 (d) 3/8
  36. 36.A bag has 7 green, 6 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/15 (b) 1/3 (c) 8/15 (d) 7/8
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/11 (d) 1/6
  38. 38.A bag has 7 yellow, 6 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 1/3 (c) 11/18 (d) 7/18
  39. 39.A bag has 2 yellow, 3 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/8 (b) 1/3 (c) 3/4 (d) 1/4
  40. 40.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3

Answer key

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

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