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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 194 · 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 a factor of 6? (a) 1/4 (b) 2/3 (c) 5/6 (d) 1/3
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
  3. 3.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
  4. 4.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  5. 5.A bag has 5 green, 5 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/19 (b) 1/3 (c) 15/19 (d) 14/19
  6. 6.A bag has 9 yellow, 5 green and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 16/21 (b) 5/21 (c) 5/16 (d) 1/3
  7. 7.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 3/4 (d) 1/4
  8. 8.A bag has 9 red, 2 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/19 (b) 1/3 (c) 18/19 (d) 17/19
  9. 9.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
  10. 10.A bag has 3 red, 9 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/16 (b) 1/3 (c) 1/4 (d) 3/4
  11. 11.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  12. 12.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
  13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
  14. 14.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
  16. 16.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  17. 17.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
  18. 18.A bag has 5 red, 5 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 11/13 (b) 1/3 (c) 10/13 (d) 3/13
  19. 19.A bag has 5 green, 5 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/7 (b) 11/14 (c) 1/3 (d) 5/7
  20. 20.A bag has 4 blue, 4 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/16 (b) 1/16 (c) 1/2 (d) 1/3
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
  22. 22.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
  23. 23.A bag has 7 green, 6 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/18 (b) 11/18 (c) 7/11 (d) 1/3
  24. 24.A bag has 2 yellow, 4 green and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/6 (c) 6/7 (d) 1/7
  25. 25.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
  26. 26.A bag has 8 blue, 3 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/15 (c) 8/15 (d) 7/8
  27. 27.A bag has 2 green, 7 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 15/17 (b) 1/3 (c) 2/17 (d) 16/17
  28. 28.A bag has 7 yellow, 8 white and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 15/22 (c) 7/22 (d) 7/15
  29. 29.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 3/8 (d) 1/4
  30. 30.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
  31. 31.A bag has 9 red, 2 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 11/18 (c) 7/11 (d) 7/18
  32. 32.A bag has 7 yellow, 6 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/21 (b) 2/3 (c) 1/3 (d) 13/21
  33. 33.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
  34. 34.A bag has 6 blue, 2 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/15 (b) 1/3 (c) 8/15 (d) 7/8
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
  36. 36.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  37. 37.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
  38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
  39. 39.A bag has 3 red, 2 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/2 (c) 4/9 (d) 2/3
  40. 40.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) 1/3 (d) 2/3

Answer key

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

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