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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 201 · 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 4? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
  4. 4.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 1/4 (d) 2/3
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 7/36 (d) 1/6
  6. 6.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
  8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
  9. 9.A bag has 5 red, 4 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/11 (b) 1/3 (c) 4/7 (d) 7/11
  10. 10.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
  11. 11.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  12. 12.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
  13. 13.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 3/8 (d) 1/8
  14. 14.A bag has 4 white, 8 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/14 (b) 3/7 (c) 4/7 (d) 1/3
  15. 15.A bag has 9 red, 8 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/19 (b) 11/19 (c) 1/3 (d) 8/11
  16. 16.A bag has 3 green, 2 red and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/10 (b) 1/3 (c) 3/7 (d) 3/10
  17. 17.A bag has 4 red, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/5 (b) 4/5 (c) 1/3 (d) 17/20
  18. 18.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
  19. 19.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
  21. 21.A bag has 5 red, 3 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/15 (b) 1/15 (c) 2/3 (d) 1/3
  22. 22.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) 3/8 (d) 1/8
  23. 23.A bag has 4 yellow, 6 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/15 (b) 15/19 (c) 4/19 (d) 1/3
  24. 24.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
  25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
  26. 26.A bag has 3 blue, 8 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/19 (c) 11/19 (d) 8/11
  27. 27.A bag has 3 green, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/5 (b) 1/3 (c) 1/4 (d) 4/5
  28. 28.A bag has 6 yellow, 3 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/9 (b) 4/13 (c) 9/13 (d) 1/3
  29. 29.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/8 (d) 1/7
  30. 30.A bag has 2 red, 3 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/4 (b) 3/4 (c) 1/3 (d) 5/6
  31. 31.A bag has 4 red, 3 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/9 (b) 1/3 (c) 4/9 (d) 2/3
  32. 32.A bag has 9 white, 6 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
  33. 33.A bag has 4 red, 3 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/11 (b) 8/11 (c) 1/3 (d) 3/11
  34. 34.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  35. 35.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  36. 36.A bag has 4 white, 3 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/13 (b) 13/16 (c) 3/16 (d) 1/3
  37. 37.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
  38. 38.A bag has 3 white, 8 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/9 (b) 4/5 (c) 4/9 (d) 1/3
  39. 39.A bag has 4 red, 2 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/13 (b) 4/13 (c) 1/3 (d) 10/13
  40. 40.A bag has 7 red, 3 white and 6 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/16 (b) 7/16 (c) 1/3 (d) 7/9

Answer key

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

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