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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 174 · 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 bag has 3 red, 3 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/8 (c) 3/8 (d) 3/5
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
  4. 4.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/4 (d) 1/8
  5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
  6. 6.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
  7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 1/11 (d) 5/36
  9. 9.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  10. 10.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/7 (c) 1/4 (d) 7/8
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
  12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
  13. 13.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
  14. 14.A bag has 3 red, 9 green and 9 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/4 (b) 4/7 (c) 3/7 (d) 1/3
  15. 15.A bag has 3 red, 4 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) 8/15 (c) 7/8 (d) 7/15
  16. 16.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
  17. 17.A bag has 6 red, 8 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/11 (b) 3/8 (c) 1/3 (d) 8/11
  18. 18.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 4/11 (c) 1/11 (d) 5/36
  20. 20.A bag has 5 red, 6 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/14 (b) 5/19 (c) 14/19 (d) 1/3
  21. 21.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  22. 22.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  23. 23.A bag has 2 red, 2 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/5 (b) 1/3 (c) 9/10 (d) 1/5
  24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
  25. 25.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
  28. 28.A bag has 5 yellow, 4 white and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 13/18 (c) 1/3 (d) 5/18
  29. 29.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5
  30. 30.A bag has 2 red, 4 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/8 (b) 1/8 (c) 1/2 (d) 1/3
  31. 31.A bag has 2 green, 9 red and 4 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/15 (b) 2/13 (c) 13/15 (d) 1/3
  32. 32.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
  33. 33.A bag has 5 green, 3 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/12 (b) 1/3 (c) 5/17 (d) 12/17
  34. 34.A bag has 4 white, 2 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/9 (b) 4/5 (c) 5/9 (d) 1/3
  35. 35.A bag has 5 white, 4 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 11/15 (c) 4/11 (d) 4/15
  36. 36.A bag has 6 white, 8 green and 5 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 14/19 (b) 1/3 (c) 6/19 (d) 13/19
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
  38. 38.A bag has 7 yellow, 3 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/13 (b) 3/13 (c) 3/10 (d) 1/3
  39. 39.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
  40. 40.A bag has 5 blue, 2 white and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/2 (b) 1/3 (c) 1/10 (d) 3/5

Answer key

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

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