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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 191 · 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 4 red, 2 white and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 2/3 (c) 2/5 (d) 3/5
  2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 2/3 (d) 1/3
  3. 3.A bag has 9 blue, 3 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/12 (b) 12/19 (c) 1/3 (d) 7/19
  4. 4.A bag has 2 yellow, 7 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/15 (b) 3/5 (c) 1/3 (d) 8/15
  5. 5.A bag has 8 yellow, 9 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 10/19 (b) 1/3 (c) 9/10 (d) 9/19
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
  7. 7.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
  8. 8.A bag has 2 blue, 9 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
  9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
  10. 10.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
  11. 11.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
  12. 12.A bag has 2 green, 7 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/11 (b) 7/18 (c) 11/18 (d) 1/3
  13. 13.A bag has 2 white, 7 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/7 (b) 7/12 (c) 5/12 (d) 1/3
  14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
  16. 16.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  17. 17.A bag has 7 white, 3 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/16 (b) 16/19 (c) 1/3 (d) 3/19
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 5/36 (c) 4/11 (d) 1/11
  19. 19.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
  20. 20.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  21. 21.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
  22. 22.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 7/8 (d) 1/7
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
  24. 24.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
  25. 25.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
  26. 26.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
  28. 28.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
  29. 29.A bag has 6 red, 6 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/7 (b) 4/7 (c) 13/21 (d) 1/3
  30. 30.A bag has 2 white, 6 green and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 3/4 (c) 4/7 (d) 1/3
  31. 31.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/4 (d) 1/3
  32. 32.A bag has 9 yellow, 3 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/5 (b) 1/3 (c) 1/4 (d) 1/5
  33. 33.A bag has 5 yellow, 7 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/16 (c) 3/4 (d) 11/16
  34. 34.A bag has 2 yellow, 5 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/2 (b) 3/5 (c) 1/3 (d) 1/10
  35. 35.A bag has 6 red, 9 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/5 (b) 1/3 (c) 3/4 (d) 1/4
  36. 36.A bag has 3 green, 5 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 9/11 (c) 3/11 (d) 8/11
  37. 37.A bag has 3 red, 6 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 9/11 (c) 10/11 (d) 2/11
  38. 38.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 1/8 (d) 7/8
  39. 39.A bag has 6 yellow, 7 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/16 (b) 1/3 (c) 7/16 (d) 5/8
  40. 40.A bag has 5 yellow, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5

Answer key

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

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