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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 660 · 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 a head on every coin? (a) 1/2 (b) 1/3 (c) 1/4 (d) 3/4
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
  4. 4.A bag has 8 green, 9 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/22 (b) 9/13 (c) 1/3 (d) 9/22
  5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  6. 6.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 7/8 (d) 1/4
  7. 7.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
  8. 8.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/8 (d) 1/4
  9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 2/3 (d) 1/2
  10. 10.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  12. 12.A bag has 5 yellow, 8 green and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/13 (b) 13/19 (c) 1/3 (d) 6/19
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 1/11 (d) 5/11
  14. 14.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
  15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
  17. 17.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
  18. 18.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  19. 19.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) 3/4 (d) 1/8
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/11 (d) 1/9
  21. 21.A bag has 2 blue, 9 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 12/17 (c) 11/17 (d) 6/17
  22. 22.A bag has 9 white, 5 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/11 (b) 1/3 (c) 5/16 (d) 11/16
  23. 23.A bag has 7 blue, 3 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 10/13 (c) 3/13 (d) 11/13
  24. 24.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
  25. 25.A bag has 4 green, 5 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/11 (b) 1/3 (c) 7/11 (d) 5/11
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
  27. 27.A bag has 5 green, 6 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/14 (b) 5/7 (c) 9/14 (d) 1/3
  28. 28.A bag has 2 white, 2 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/4 (b) 1/4 (c) 3/8 (d) 1/3
  29. 29.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
  30. 30.A bag has 3 green, 9 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/3 (c) 1/4 (d) 1/5
  31. 31.A bag has 7 blue, 6 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/17 (b) 7/17 (c) 10/17 (d) 1/3
  32. 32.A bag has 5 white, 9 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 1/18 (c) 1/2 (d) 5/9
  33. 33.A bag has 9 white, 7 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 16/25 (b) 1/3 (c) 9/25 (d) 17/25
  34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
  35. 35.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
  36. 36.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 3/5 (d) 5/8
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
  38. 38.A bag has 4 white, 7 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 7/19 (c) 12/19 (d) 7/12
  39. 39.A bag has 4 blue, 9 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 6/7 (c) 4/21 (d) 17/21
  40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 6/11 (d) 7/36

Answer key

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

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