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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 62 · 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.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  3. 3.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 7/8 (d) 3/8
  4. 4.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
  5. 5.A bag has 4 red, 8 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/17 (b) 4/17 (c) 1/3 (d) 14/17
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
  7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
  8. 8.A bag has 6 yellow, 3 green 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) 6/11 (d) 7/11
  9. 9.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
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
  11. 11.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  12. 12.A bag has 6 yellow, 9 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/10 (b) 1/3 (c) 9/19 (d) 10/19
  13. 13.A bag has 2 white, 4 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/11 (b) 6/11 (c) 7/11 (d) 1/3
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
  15. 15.A bag has 3 yellow, 2 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 5/9 (c) 4/9 (d) 2/3
  16. 16.A bag has 3 green, 9 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/9 (b) 9/14 (c) 1/3 (d) 5/14
  17. 17.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
  19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  20. 20.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
  21. 21.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
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
  23. 23.A bag has 4 yellow, 5 white and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/9 (b) 1/2 (c) 1/3 (d) 1/18
  24. 24.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
  25. 25.A bag has 6 blue, 9 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/23 (b) 1/3 (c) 17/23 (d) 18/23
  26. 26.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/4 (c) 1/8 (d) 3/8
  27. 27.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
  28. 28.A bag has 3 white, 3 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/11 (b) 3/11 (c) 3/8 (d) 1/3
  29. 29.A bag has 7 blue, 9 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/22 (b) 9/22 (c) 1/3 (d) 7/11
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
  31. 31.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 1/8 (d) 7/8
  32. 32.A bag has 7 yellow, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/16 (b) 1/3 (c) 7/9 (d) 9/16
  33. 33.A bag has 8 yellow, 7 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/9 (b) 8/17 (c) 1/3 (d) 9/17
  34. 34.A bag has 3 green, 2 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 3/8 (c) 1/3 (d) 5/8
  35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 3/5 (d) 5/8
  36. 36.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  37. 37.A bag has 6 yellow, 2 white and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
  38. 38.A bag has 9 white, 6 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/5 (b) 1/3 (c) 2/7 (d) 5/7
  39. 39.A bag has 4 red, 6 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/13 (b) 6/13 (c) 1/3 (d) 7/13
  40. 40.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6

Answer key

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

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