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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 263 · 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 bag has 4 red, 8 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/7 (b) 1/3 (c) 3/4 (d) 3/7
  2. 2.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
  3. 3.A bag has 6 yellow, 7 red and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/17 (b) 7/17 (c) 1/3 (d) 10/17
  4. 4.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
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
  6. 6.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
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
  8. 8.A bag has 7 green, 5 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/15 (b) 11/15 (c) 1/3 (d) 2/3
  9. 9.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
  10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 3/8 (d) 5/8
  11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
  12. 12.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  13. 13.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
  14. 14.A bag has 6 yellow, 8 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 17/22 (b) 3/11 (c) 1/3 (d) 8/11
  15. 15.A bag has 5 blue, 7 green and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/10 (b) 1/3 (c) 7/17 (d) 10/17
  16. 16.A bag has 6 red, 7 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/12 (b) 12/19 (c) 1/3 (d) 7/19
  17. 17.A bag has 8 green, 3 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/19 (b) 8/19 (c) 8/11 (d) 1/3
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
  19. 19.A bag has 2 yellow, 8 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/8 (b) 3/8 (c) 1/3 (d) 11/16
  20. 20.A bag has 8 blue, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/20 (c) 3/17 (d) 17/20
  21. 21.A bag has 8 white, 8 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/25 (c) 8/17 (d) 17/25
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
  23. 23.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
  24. 24.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
  25. 25.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
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
  27. 27.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/8 (c) 1/7 (d) 1/4
  28. 28.A bag has 3 yellow, 5 red and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/3 (b) 1/2 (c) 1/3 (d) 5/12
  29. 29.A bag has 5 yellow, 4 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/13 (b) 9/13 (c) 4/9 (d) 1/3
  30. 30.A bag has 3 white, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/4 (b) 1/3 (c) 3/4 (d) 7/8
  31. 31.A bag has 8 green, 5 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 12/19 (c) 8/19 (d) 11/19
  32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
  34. 34.A bag has 6 red, 7 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/20 (b) 7/13 (c) 1/3 (d) 7/20
  35. 35.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
  36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 6/11 (d) 7/36
  38. 38.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  39. 39.A bag has 3 green, 2 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/9 (b) 7/9 (c) 2/3 (d) 1/3
  40. 40.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4

Answer key

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

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