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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 185 · 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.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
  2. 2.A bag has 8 red, 4 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/7 (b) 1/3 (c) 3/7 (d) 9/14
  3. 3.A bag has 7 red, 9 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 17/19 (b) 1/3 (c) 3/19 (d) 16/19
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
  5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  6. 6.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  7. 7.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
  8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  9. 9.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  10. 10.A bag has 7 red, 6 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/3 (b) 13/18 (c) 1/3 (d) 1/18
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
  12. 12.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
  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) 1/6 (d) 1/2
  14. 14.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
  15. 15.A bag has 4 green, 6 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/8 (c) 5/8 (d) 3/5
  16. 16.A bag has 3 blue, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/8 (c) 5/8 (d) 3/5
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 1/11 (d) 7/36
  18. 18.A bag has 4 green, 2 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 1/3 (c) 1/4 (d) 7/8
  19. 19.A bag has 8 yellow, 6 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 11/19 (b) 1/3 (c) 8/19 (d) 8/11
  20. 20.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/3 (c) 1/6 (d) 5/6
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
  22. 22.A bag has 7 yellow, 4 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 10/13 (c) 4/13 (d) 9/13
  23. 23.A bag has 9 yellow, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/7 (c) 3/7 (d) 3/4
  24. 24.A bag has 4 green, 5 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/15 (b) 2/3 (c) 1/3 (d) 1/15
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
  26. 26.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
  27. 27.A bag has 3 red, 3 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/5 (b) 1/4 (c) 1/3 (d) 4/5
  28. 28.A bag has 5 yellow, 3 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/16 (b) 5/16 (c) 1/3 (d) 3/4
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
  30. 30.A bag has 2 white, 5 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/4 (c) 4/5 (d) 1/5
  31. 31.A bag has 6 blue, 5 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/19 (b) 6/13 (c) 1/3 (d) 13/19
  32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 5/6 (c) 1/5 (d) 1/6
  33. 33.A bag has 9 yellow, 3 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/8 (b) 1/3 (c) 7/16 (d) 9/16
  34. 34.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
  35. 35.A bag has 9 green, 3 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/19 (b) 9/19 (c) 1/3 (d) 10/19
  36. 36.A bag has 4 green, 3 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/12 (b) 5/7 (c) 7/12 (d) 1/3
  37. 37.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
  38. 38.A bag has 4 yellow, 4 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/11 (b) 7/11 (c) 4/11 (d) 1/3
  39. 39.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  40. 40.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/7 (d) 1/8

Answer key

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

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