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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 594 · 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 2 yellow, 7 red and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/15 (b) 1/3 (c) 2/13 (d) 13/15
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
  3. 3.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
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
  5. 5.A bag has 3 white, 4 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/9 (b) 1/3 (c) 1/9 (d) 2/3
  6. 6.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) 3/8 (d) 1/8
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
  8. 8.A bag has 5 red, 8 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 14/15 (c) 13/15 (d) 2/15
  9. 9.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
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
  11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
  12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 1/4 (d) 5/8
  13. 13.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
  14. 14.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  15. 15.A bag has 2 yellow, 2 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/8 (b) 1/2 (c) 5/8 (d) 1/3
  16. 16.A bag has 5 yellow, 2 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 4/9 (c) 4/5 (d) 5/9
  17. 17.A bag has 5 blue, 8 white and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 9/13 (c) 9/22 (d) 13/22
  18. 18.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  19. 19.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5
  20. 20.A bag has 5 yellow, 5 white and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/19 (c) 5/14 (d) 14/19
  21. 21.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  22. 22.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 7/8 (d) 1/4
  23. 23.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
  24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
  25. 25.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
  27. 27.A bag has 8 red, 6 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/11 (c) 8/11 (d) 3/8
  28. 28.A bag has 7 red, 4 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 6/7 (c) 7/13 (d) 6/13
  29. 29.A bag has 3 red, 9 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/13 (c) 13/16 (d) 3/16
  30. 30.A bag has 8 blue, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 15/19 (b) 4/19 (c) 1/3 (d) 4/15
  31. 31.A bag has 9 blue, 9 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/22 (b) 7/11 (c) 1/3 (d) 13/22
  32. 32.A bag has 5 white, 4 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/9 (b) 9/16 (c) 7/16 (d) 1/3
  33. 33.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
  34. 34.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  35. 35.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
  36. 36.A bag has 4 blue, 3 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/14 (b) 3/14 (c) 1/3 (d) 6/7
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
  38. 38.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/11 (d) 1/12
  40. 40.A bag has 2 yellow, 7 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/13 (b) 1/3 (c) 7/13 (d) 6/13

Answer key

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

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