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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 342 · 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 dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
  2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
  4. 4.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/3 (c) 5/6 (d) 1/6
  5. 5.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
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
  7. 7.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
  8. 8.A bag has 2 white, 8 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
  9. 9.A bag has 2 white, 3 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/9 (b) 9/14 (c) 1/3 (d) 5/14
  10. 10.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
  11. 11.A bag has 3 green, 4 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 8/15 (c) 1/3 (d) 7/15
  12. 12.A bag has 2 white, 5 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/10 (b) 1/3 (c) 4/5 (d) 7/10
  13. 13.A bag has 6 yellow, 8 red and 4 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/18 (b) 1/2 (c) 2/3 (d) 1/3
  14. 14.A bag has 4 white, 2 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/10 (b) 1/3 (c) 4/5 (d) 1/5
  15. 15.A bag has 4 red, 9 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/3 (b) 2/5 (c) 3/5 (d) 1/3
  16. 16.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
  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) 1/4 (c) 2/3 (d) 1/3
  18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  19. 19.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 3/8 (d) 5/8
  20. 20.A bag has 5 yellow, 5 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/9 (b) 13/18 (c) 1/3 (d) 5/18
  21. 21.A bag has 4 red, 6 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/5 (c) 2/3 (d) 3/5
  22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
  23. 23.A bag has 5 white, 9 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/23 (b) 1/3 (c) 14/23 (d) 9/14
  24. 24.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
  25. 25.A bag has 9 green, 4 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 11/19 (c) 10/19 (d) 9/19
  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) 1/11 (d) 1/12
  27. 27.A bag has 4 blue, 7 green and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/12 (b) 7/19 (c) 1/3 (d) 12/19
  28. 28.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  29. 29.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  30. 30.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
  31. 31.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
  32. 32.A bag has 9 red, 3 green and 5 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/17 (b) 12/17 (c) 13/17 (d) 1/3
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
  34. 34.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
  35. 35.A bag has 5 yellow, 6 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 13/19 (c) 6/19 (d) 6/13
  36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
  37. 37.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  38. 38.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
  39. 39.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
  40. 40.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/8 (d) 1/4

Answer key

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

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