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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 218 · 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) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  2. 2.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
  3. 3.A bag has 5 green, 3 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/4 (c) 4/5 (d) 1/5
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
  5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
  7. 7.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  8. 8.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
  9. 9.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
  10. 10.A bag has 2 red, 6 green and 8 white 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) 11/16
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
  12. 12.A bag has 8 yellow, 2 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 3/8 (c) 1/3 (d) 11/16
  13. 13.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/5 (d) 3/8
  14. 14.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
  15. 15.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
  16. 16.A bag has 6 red, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/11 (b) 4/15 (c) 1/3 (d) 11/15
  17. 17.A bag has 5 white, 5 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 10/17 (b) 1/3 (c) 7/17 (d) 7/10
  18. 18.A bag has 8 yellow, 4 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/16 (b) 3/4 (c) 1/3 (d) 1/4
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
  20. 20.A bag has 3 blue, 6 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/18 (c) 1/2 (d) 5/9
  21. 21.A bag has 2 yellow, 9 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 12/17 (b) 1/3 (c) 6/17 (d) 11/17
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
  23. 23.A bag has 3 red, 6 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/7 (b) 4/7 (c) 9/14 (d) 1/3
  24. 24.A bag has 3 white, 3 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/11 (c) 3/11 (d) 3/8
  25. 25.A bag has 8 white, 3 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/15 (b) 4/5 (c) 1/3 (d) 1/5
  26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
  27. 27.A bag has 8 white, 9 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/13 (c) 4/9 (d) 9/13
  28. 28.A bag has 7 green, 3 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 6/7 (b) 7/13 (c) 1/3 (d) 6/13
  29. 29.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
  30. 30.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  31. 31.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
  32. 32.A bag has 3 red, 2 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/9 (c) 4/5 (d) 5/9
  33. 33.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
  34. 34.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 7/8 (d) 3/8
  35. 35.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
  36. 36.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
  37. 37.A bag has 3 blue, 7 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/16 (b) 7/8 (c) 1/3 (d) 13/16
  38. 38.A bag has 2 blue, 7 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/9 (b) 9/14 (c) 5/14 (d) 1/3
  39. 39.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
  40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3

Answer key

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

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