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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 52 · 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 an odd number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  2. 2.A bag has 9 blue, 4 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/5 (b) 4/5 (c) 1/3 (d) 1/4
  3. 3.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  4. 4.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
  5. 5.A bag has 6 blue, 5 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 8/19 (c) 8/11 (d) 11/19
  6. 6.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
  7. 7.A bag has 2 red, 7 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/7 (b) 1/3 (c) 7/11 (d) 4/11
  8. 8.A bag has 6 green, 4 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 9/14 (c) 3/7 (d) 4/7
  9. 9.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  10. 10.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
  11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  12. 12.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  13. 13.A bag has 3 yellow, 7 red and 9 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 16/19 (b) 1/3 (c) 3/19 (d) 3/16
  14. 14.A bag has 2 red, 3 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/14 (b) 5/14 (c) 5/9 (d) 1/3
  15. 15.A bag has 3 green, 8 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/16 (c) 11/16 (d) 3/4
  16. 16.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
  17. 17.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
  19. 19.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
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
  22. 22.A bag has 3 yellow, 5 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/5 (b) 1/4 (c) 1/3 (d) 1/5
  23. 23.A bag has 4 red, 9 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 1/18 (c) 5/9 (d) 1/3
  24. 24.A bag has 7 green, 5 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is yellow? (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 6? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
  26. 26.A bag has 8 red, 3 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 8/13 (c) 9/13 (d) 5/13
  27. 27.A bag has 9 red, 3 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/7 (b) 1/3 (c) 3/4 (d) 3/7
  28. 28.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  29. 29.A bag has 6 blue, 5 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/13 (b) 13/19 (c) 6/19 (d) 1/3
  30. 30.A bag has 6 yellow, 4 white and 8 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 7/18 (c) 2/3 (d) 1/3
  31. 31.A bag has 2 yellow, 5 red and 5 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/12 (b) 2/3 (c) 1/3 (d) 7/12
  32. 32.A bag has 7 white, 9 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 17/23 (c) 7/23 (d) 16/23
  33. 33.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
  34. 34.A bag has 7 red, 2 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/17 (b) 15/17 (c) 16/17 (d) 1/3
  35. 35.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
  36. 36.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
  37. 37.A bag has 5 green, 8 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/16 (b) 1/3 (c) 7/8 (d) 13/16
  38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 1/11 (d) 7/36
  39. 39.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
  40. 40.A bag has 8 blue, 4 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 12/17 (b) 5/17 (c) 1/3 (d) 5/12

Answer key

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

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