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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 118 · 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? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 1/11 (d) 6/11
  3. 3.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
  6. 6.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/11 (d) 1/9
  8. 8.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
  9. 9.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/12 (c) 1/11 (d) 1/9
  12. 12.A bag has 5 yellow, 2 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 1/14 (c) 4/7 (d) 1/2
  13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  14. 14.A bag has 2 red, 4 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/3 (b) 3/5 (c) 1/3 (d) 2/5
  15. 15.A bag has 2 blue, 5 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/9 (b) 1/3 (c) 2/9 (d) 8/9
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
  17. 17.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
  18. 18.A bag has 5 green, 3 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/3 (b) 1/3 (c) 1/12 (d) 3/4
  19. 19.A bag has 2 yellow, 7 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/12 (b) 3/4 (c) 1/4 (d) 1/3
  20. 20.A bag has 6 blue, 6 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 4/7 (c) 3/7 (d) 1/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
  22. 22.A bag has 8 red, 2 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/3 (c) 11/15 (d) 1/15
  23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
  24. 24.A bag has 2 blue, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 2/5 (c) 1/2 (d) 1/3
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
  26. 26.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
  27. 27.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
  28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
  29. 29.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
  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 2 white, 9 red and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/15 (b) 1/3 (c) 11/15 (d) 4/11
  32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
  33. 33.A bag has 4 white, 2 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/9 (b) 2/3 (c) 4/9 (d) 1/3
  34. 34.A bag has 8 red, 6 green and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/5 (c) 2/3 (d) 2/5
  35. 35.A bag has 2 yellow, 3 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/7 (b) 5/7 (c) 6/7 (d) 1/3
  36. 36.A bag has 5 white, 5 green and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 11/15 (c) 1/3 (d) 1/15
  37. 37.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  38. 38.A bag has 3 red, 3 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/9 (b) 2/3 (c) 1/3 (d) 1/2
  39. 39.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  40. 40.A bag has 4 blue, 7 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 12/19 (c) 8/19 (d) 11/19

Answer key

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

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