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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 513 · 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 9? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
  2. 2.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
  4. 4.A bag has 5 red, 2 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/6 (b) 1/7 (c) 1/3 (d) 6/7
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
  6. 6.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/4 (c) 1/3 (d) 5/6
  7. 7.A bag has 3 yellow, 7 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/18 (b) 7/18 (c) 2/3 (d) 1/3
  8. 8.A bag has 3 green, 4 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/9 (c) 4/5 (d) 4/9
  9. 9.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
  10. 10.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  11. 11.A bag has 4 yellow, 7 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/18 (b) 7/18 (c) 7/11 (d) 1/3
  12. 12.A bag has 7 red, 7 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 1/3 (c) 9/16 (d) 7/16
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/12 (d) 1/11
  14. 14.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  15. 15.A bag has 3 green, 4 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/12 (b) 1/4 (c) 1/3 (d) 3/4
  16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
  17. 17.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
  18. 18.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
  19. 19.A bag has 3 red, 2 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 3/8 (c) 1/3 (d) 3/4
  20. 20.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
  23. 23.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
  24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
  25. 25.A bag has 4 red, 9 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/20 (b) 1/3 (c) 9/20 (d) 9/11
  26. 26.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  27. 27.A bag has 4 green, 7 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/17 (b) 6/17 (c) 12/17 (d) 1/3
  28. 28.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 7/8 (d) 1/4
  29. 29.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  30. 30.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
  31. 31.A bag has 3 red, 7 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/17 (b) 7/10 (c) 10/17 (d) 1/3
  32. 32.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
  33. 33.A bag has 8 red, 2 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/13 (b) 2/13 (c) 12/13 (d) 1/3
  34. 34.A bag has 6 red, 8 green and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/7 (b) 2/5 (c) 5/7 (d) 1/3
  35. 35.A bag has 9 blue, 9 green and 2 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 9/20 (c) 9/11 (d) 11/20
  36. 36.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
  37. 37.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 1/4 (d) 3/8
  38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 1/11 (d) 6/11
  39. 39.A bag has 3 white, 7 red and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 5/12 (c) 7/12 (d) 1/3
  40. 40.A bag has 5 yellow, 2 red and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/7 (b) 1/6 (c) 6/7 (d) 1/3

Answer key

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

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