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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 462 · 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.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) 1/8 (d) 3/4
  2. 2.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 3/8 (d) 1/4
  3. 3.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 5/6 (d) 1/3
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
  5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  6. 6.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  8. 8.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
  9. 9.A bag has 9 blue, 4 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/18 (b) 5/9 (c) 1/3 (d) 1/2
  10. 10.A bag has 5 green, 2 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/8 (b) 1/7 (c) 1/3 (d) 7/8
  11. 11.A bag has 8 yellow, 9 white and 5 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 7/11 (c) 4/11 (d) 4/7
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
  13. 13.A bag has 8 red, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/19 (b) 8/19 (c) 1/3 (d) 8/11
  14. 14.A bag has 5 white, 7 green and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 1/3 (c) 2/3 (d) 2/5
  15. 15.A bag has 3 yellow, 9 red and 3 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
  16. 16.A bag has 2 green, 5 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/12 (b) 1/3 (c) 1/6 (d) 5/6
  17. 17.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  19. 19.A bag has 4 yellow, 4 red and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/15 (b) 7/8 (c) 1/3 (d) 8/15
  20. 20.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 3/8 (d) 1/4
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
  22. 22.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
  24. 24.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
  25. 25.A bag has 3 red, 4 white and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/2 (b) 1/3 (c) 2/3 (d) 4/9
  26. 26.A bag has 9 white, 6 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/2 (b) 2/3 (c) 7/18 (d) 1/3
  27. 27.A bag has 6 yellow, 3 green and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/17 (b) 11/17 (c) 1/3 (d) 6/11
  28. 28.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/4 (d) 1/8
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
  31. 31.A bag has 4 red, 3 green and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/14 (b) 1/3 (c) 3/14 (d) 3/11
  32. 32.A bag has 5 green, 7 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/19 (b) 12/19 (c) 13/19 (d) 1/3
  33. 33.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) 1/3 (d) 1/2
  34. 34.A bag has 5 green, 7 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/8 (c) 7/16 (d) 9/16
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
  36. 36.A bag has 9 green, 4 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/18 (b) 7/9 (c) 13/18 (d) 1/3
  37. 37.A bag has 8 white, 4 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 1/3 (c) 3/4 (d) 4/7
  38. 38.A bag has 3 yellow, 7 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/15 (b) 1/5 (c) 4/5 (d) 1/3
  39. 39.A bag has 8 red, 7 green and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/15 (c) 2/17 (d) 15/17
  40. 40.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6

Answer key

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

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