← Probability basics lesson New set →

Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 54 · 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 number greater than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  2. 2.A bag has 9 red, 8 white and 3 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/20 (b) 3/5 (c) 2/5 (d) 1/3
  3. 3.A bag has 2 red, 9 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/13 (b) 10/13 (c) 9/13 (d) 1/3
  4. 4.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
  5. 5.A bag has 3 green, 7 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/6 (b) 1/6 (c) 8/9 (d) 1/3
  6. 6.A bag has 6 green, 4 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 10/13 (b) 3/10 (c) 3/13 (d) 1/3
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/18 (d) 1/36
  8. 8.A bag has 8 blue, 7 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/7 (b) 16/21 (c) 1/3 (d) 2/7
  9. 9.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
  10. 10.A bag has 7 green, 6 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/21 (b) 5/7 (c) 2/3 (d) 1/3
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
  12. 12.A bag has 2 red, 3 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/7 (b) 2/7 (c) 1/3 (d) 2/5
  13. 13.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
  14. 14.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
  16. 16.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
  17. 17.A bag has 3 red, 6 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/3 (c) 5/6 (d) 1/6
  18. 18.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/8 (d) 1/4
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
  20. 20.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
  21. 21.A bag has 6 blue, 5 white and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 11/14 (c) 3/14 (d) 3/11
  22. 22.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  23. 23.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
  24. 24.A bag has 4 green, 5 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/13 (b) 4/9 (c) 4/13 (d) 1/3
  25. 25.A bag has 5 yellow, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 8/17 (c) 9/17 (d) 10/17
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
  27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
  28. 28.A bag has 8 blue, 6 white and 3 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/17 (b) 10/17 (c) 9/17 (d) 1/3
  29. 29.A bag has 8 green, 8 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/8 (b) 1/3 (c) 2/3 (d) 1/2
  30. 30.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
  31. 31.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
  32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
  33. 33.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
  34. 34.A bag has 9 red, 4 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 14/17 (b) 4/17 (c) 1/3 (d) 13/17
  35. 35.A bag has 8 blue, 6 green and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 14/19 (b) 1/3 (c) 5/14 (d) 5/19
  36. 36.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
  37. 37.A bag has 4 white, 2 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/5 (c) 5/7 (d) 2/7
  38. 38.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
  39. 39.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
  40. 40.A bag has 2 blue, 2 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/6 (b) 1/3 (c) 2/3 (d) 5/6

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad