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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 160 · 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) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
  2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
  3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/5 (d) 1/3
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
  5. 5.A bag has 9 yellow, 9 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/8 (b) 1/3 (c) 2/3 (d) 5/8
  6. 6.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
  7. 7.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
  8. 8.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/4
  9. 9.A bag has 8 green, 4 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/7 (c) 4/7 (d) 3/4
  10. 10.A bag has 5 yellow, 3 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 11/16 (c) 1/3 (d) 5/16
  11. 11.A bag has 3 green, 8 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 11/17 (c) 6/17 (d) 12/17
  12. 12.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
  14. 14.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
  15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
  18. 18.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  19. 19.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
  20. 20.A bag has 3 yellow, 9 green and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 2/3 (c) 3/5 (d) 1/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
  22. 22.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  23. 23.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
  24. 24.A bag has 6 white, 7 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/7 (c) 2/3 (d) 1/21
  25. 25.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  26. 26.A bag has 5 blue, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 8/9 (c) 9/17 (d) 8/17
  27. 27.A bag has 3 white, 7 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 12/19 (b) 7/12 (c) 7/19 (d) 1/3
  28. 28.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/8 (d) 1/4
  29. 29.A bag has 7 blue, 2 green and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/11 (b) 1/3 (c) 4/11 (d) 7/11
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
  31. 31.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
  32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
  33. 33.A bag has 8 red, 3 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/10 (b) 1/3 (c) 3/20 (d) 17/20
  34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
  36. 36.A bag has 2 green, 2 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 12/13 (b) 2/13 (c) 1/3 (d) 11/13
  37. 37.A bag has 7 green, 4 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/11 (b) 1/3 (c) 3/14 (d) 11/14
  38. 38.A bag has 5 red, 3 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/11 (b) 11/14 (c) 3/14 (d) 1/3
  39. 39.A bag has 5 green, 6 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/4 (c) 3/7 (d) 4/7
  40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3

Answer key

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

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