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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 172 · 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 and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
  3. 3.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) 2/3 (d) 1/4
  4. 4.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
  6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5
  7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
  8. 8.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
  9. 9.A bag has 7 white, 5 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 12/19 (c) 7/12 (d) 7/19
  10. 10.A bag has 7 green, 5 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/15 (c) 11/15 (d) 2/3
  11. 11.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
  13. 13.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 6/11 (d) 1/11
  16. 16.A bag has 2 red, 8 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/17 (b) 1/3 (c) 8/9 (d) 9/17
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
  18. 18.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
  19. 19.A bag has 8 yellow, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 13/15 (b) 2/13 (c) 2/15 (d) 1/3
  20. 20.A bag has 2 yellow, 2 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/11 (b) 1/3 (c) 10/11 (d) 9/11
  21. 21.A bag has 2 white, 2 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/7 (b) 5/7 (c) 6/7 (d) 1/3
  22. 22.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
  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) 1/8 (d) 7/8
  25. 25.A bag has 6 white, 9 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/4 (b) 3/10 (c) 1/3 (d) 3/4
  26. 26.A bag has 2 white, 3 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/8 (b) 5/8 (c) 1/3 (d) 3/4
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
  28. 28.A bag has 2 yellow, 2 red and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 1/3 (c) 3/8 (d) 1/4
  29. 29.A bag has 3 yellow, 2 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 6/7 (c) 1/7 (d) 13/14
  30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  31. 31.A bag has 5 green, 5 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/17 (b) 1/3 (c) 13/17 (d) 12/17
  32. 32.A bag has 4 white, 8 green and 6 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 5/9 (c) 4/9 (d) 1/3
  33. 33.A bag has 6 green, 2 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/11 (b) 1/3 (c) 6/11 (d) 5/6
  34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
  35. 35.A bag has 3 yellow, 3 green and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3
  36. 36.A bag has 5 green, 6 red and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/11 (b) 11/16 (c) 5/16 (d) 1/3
  37. 37.A bag has 8 yellow, 4 red and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/5 (b) 2/5 (c) 1/3 (d) 2/3
  38. 38.A bag has 3 red, 3 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/11 (b) 3/14 (c) 11/14 (d) 1/3
  39. 39.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
  40. 40.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4

Answer key

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

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