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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 58 · 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 6? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
  2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
  3. 3.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
  4. 4.A bag has 2 green, 4 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/14 (b) 1/7 (c) 6/7 (d) 1/3
  5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
  7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  8. 8.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
  9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
  10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 5/8 (d) 3/5
  11. 11.A bag has 8 red, 9 white and 9 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/17 (b) 9/26 (c) 1/3 (d) 17/26
  12. 12.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 1/6 (d) 7/36
  16. 16.A bag has 4 white, 2 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/9 (b) 1/3 (c) 2/3 (d) 1/9
  17. 17.A bag has 4 yellow, 6 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 6/13 (b) 1/3 (c) 6/19 (d) 13/19
  18. 18.A bag has 8 white, 3 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/16 (b) 1/3 (c) 9/16 (d) 1/2
  19. 19.A bag has 9 red, 4 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 10/19 (b) 11/19 (c) 9/19 (d) 1/3
  20. 20.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
  21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 1/8 (d) 7/8
  22. 22.A bag has 4 red, 9 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/7 (b) 13/21 (c) 4/7 (d) 1/3
  23. 23.A bag has 9 green, 6 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 4/19 (c) 4/15 (d) 15/19
  24. 24.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  25. 25.A bag has 3 blue, 8 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
  26. 26.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
  27. 27.A bag has 6 white, 6 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/3
  28. 28.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
  30. 30.A bag has 7 blue, 8 white and 2 yellow 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
  31. 31.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  32. 32.A bag has 2 red, 5 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/15 (b) 1/3 (c) 14/15 (d) 13/15
  33. 33.A bag has 2 red, 6 white and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/13 (b) 1/3 (c) 13/15 (d) 2/15
  34. 34.A bag has 2 yellow, 7 red and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/7 (b) 1/8 (c) 7/8 (d) 1/3
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
  36. 36.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
  37. 37.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/7 (d) 1/8
  38. 38.A bag has 7 green, 5 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/5 (b) 1/3 (c) 13/15 (d) 4/5
  39. 39.A bag has 4 white, 6 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 13/19 (c) 6/19 (d) 6/13
  40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6

Answer key

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

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