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Probability Worksheet for Class 8 Maths Olympiad

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

Answer key

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

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