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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 179 · 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 coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
  4. 4.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 green? (a) 5/8 (b) 11/16 (c) 3/8 (d) 1/3
  5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
  6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  7. 7.A bag has 4 white, 6 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/19 (b) 6/13 (c) 13/19 (d) 1/3
  8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
  9. 9.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  10. 10.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  11. 11.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
  12. 12.A bag has 7 white, 3 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/10 (b) 10/17 (c) 1/3 (d) 7/17
  13. 13.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
  14. 14.A bag has 8 blue, 2 green and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/14 (b) 1/3 (c) 4/7 (d) 3/7
  15. 15.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
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
  17. 17.A bag has 6 white, 7 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/13 (c) 13/18 (d) 5/18
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 6/11 (d) 1/6
  19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
  20. 20.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) 3/4 (d) 3/8
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
  23. 23.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
  24. 24.A bag has 9 red, 3 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/11 (c) 9/20 (d) 11/20
  25. 25.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  26. 26.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
  27. 27.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
  28. 28.A bag has 2 green, 5 red and 9 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/4 (c) 5/16 (d) 11/16
  29. 29.A bag has 5 blue, 2 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/2 (b) 1/10 (c) 1/3 (d) 3/5
  30. 30.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
  31. 31.A bag has 9 red, 3 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/7 (b) 4/7 (c) 13/21 (d) 1/3
  32. 32.A bag has 3 blue, 5 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/11 (b) 1/3 (c) 9/11 (d) 8/11
  33. 33.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
  34. 34.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
  35. 35.A bag has 4 red, 4 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 3/5 (c) 2/3 (d) 1/3
  36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
  37. 37.A bag has 3 yellow, 4 red and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/16 (b) 1/3 (c) 5/8 (d) 9/16
  38. 38.A bag has 2 yellow, 2 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
  39. 39.A bag has 3 red, 2 green and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 5/12 (c) 1/3 (d) 7/12
  40. 40.A bag has 2 red, 6 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 4/5 (c) 1/5 (d) 1/4

Answer key

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

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