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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 243 · 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 prime number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  2. 2.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
  3. 3.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
  4. 4.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
  5. 5.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/7 (d) 1/8
  6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  7. 7.A bag has 5 green, 7 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 1/14 (d) 4/7
  8. 8.A bag has 5 red, 3 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/7 (b) 9/14 (c) 1/3 (d) 4/7
  9. 9.A bag has 5 blue, 6 green and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/11 (b) 11/19 (c) 8/19 (d) 1/3
  10. 10.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  11. 11.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
  12. 12.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
  13. 13.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
  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) 1/11 (d) 1/6
  15. 15.A bag has 3 blue, 8 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 11/17 (c) 6/17 (d) 6/11
  16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
  17. 17.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
  19. 19.A bag has 4 yellow, 2 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/9 (b) 7/9 (c) 2/9 (d) 1/3
  20. 20.A bag has 8 white, 9 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/11 (c) 9/20 (d) 11/20
  21. 21.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
  22. 22.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
  23. 23.A bag has 5 yellow, 8 green and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/13 (c) 4/17 (d) 13/17
  24. 24.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
  26. 26.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 1/4 (d) 7/8
  28. 28.A bag has 6 blue, 6 white and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 4/5 (c) 1/3 (d) 1/5
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
  30. 30.A bag has 5 red, 2 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 1/2 (c) 1/3 (d) 2/5
  31. 31.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
  32. 32.A bag has 8 yellow, 4 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/7 (b) 3/7 (c) 13/21 (d) 1/3
  33. 33.A bag has 6 blue, 3 yellow and 4 white 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
  34. 34.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/5 (d) 3/8
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
  36. 36.A bag has 7 red, 4 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/7 (b) 5/7 (c) 11/14 (d) 1/3
  37. 37.A bag has 2 red, 9 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/8 (b) 8/9 (c) 1/3 (d) 1/9
  38. 38.A bag has 5 blue, 3 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/7 (b) 7/10 (c) 3/10 (d) 1/3
  39. 39.A bag has 4 red, 7 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/11 (c) 4/15 (d) 11/15
  40. 40.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6

Answer key

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

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