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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 207 · 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 prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
  4. 4.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
  5. 5.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
  7. 7.A bag has 5 green, 4 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/15 (b) 1/3 (c) 11/15 (d) 2/3
  8. 8.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
  9. 9.A bag has 3 red, 4 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 7/10 (c) 3/10 (d) 1/3
  10. 10.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  11. 11.A bag has 6 red, 9 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/10 (c) 3/4 (d) 7/10
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/6 (d) 1/11
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
  14. 14.A bag has 7 blue, 8 white and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 10/17 (b) 7/10 (c) 1/3 (d) 7/17
  15. 15.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
  16. 16.A bag has 5 yellow, 6 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/13 (b) 1/3 (c) 5/13 (d) 8/13
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
  18. 18.A bag has 4 yellow, 4 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/7 (c) 2/7 (d) 11/14
  19. 19.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
  20. 20.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
  21. 21.A bag has 9 yellow, 4 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 13/22 (c) 9/13 (d) 9/22
  22. 22.A bag has 3 red, 7 white and 7 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 10/17 (b) 7/10 (c) 1/3 (d) 7/17
  23. 23.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
  24. 24.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  25. 25.A bag has 2 blue, 3 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/4 (c) 3/8 (d) 5/8
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
  27. 27.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
  28. 28.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
  29. 29.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
  30. 30.A bag has 8 green, 4 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 7/15 (c) 8/15 (d) 3/5
  31. 31.A bag has 8 white, 3 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/5 (c) 1/4 (d) 4/5
  32. 32.A bag has 5 white, 3 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 8/9 (c) 9/17 (d) 8/17
  33. 33.A bag has 6 red, 4 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/15 (b) 1/3 (c) 4/19 (d) 15/19
  34. 34.A bag has 7 green, 7 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/7 (b) 1/3 (c) 1/8 (d) 7/8
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
  36. 36.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
  37. 37.A bag has 4 red, 7 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/17 (b) 1/3 (c) 10/17 (d) 7/10
  38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  39. 39.A bag has 2 green, 6 red and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 11/16 (c) 1/3 (d) 3/8
  40. 40.A bag has 8 red, 8 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/9 (b) 11/18 (c) 1/3 (d) 4/9

Answer key

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

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