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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 981 · 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 number greater than 1? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
  2. 2.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
  5. 5.A bag has 8 red, 8 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/19 (b) 11/19 (c) 1/3 (d) 12/19
  6. 6.A bag has 8 blue, 6 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/17 (c) 15/17 (d) 14/17
  7. 7.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  8. 8.A bag has 2 blue, 6 green and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/4 (b) 1/3 (c) 1/5 (d) 4/5
  9. 9.A bag has 5 blue, 5 green and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/10 (b) 10/19 (c) 1/3 (d) 9/19
  10. 10.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/8 (d) 3/4
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
  12. 12.A bag has 8 green, 4 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/4 (b) 1/3 (c) 4/7 (d) 3/7
  13. 13.A bag has 5 green, 7 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 7/12 (c) 7/19 (d) 12/19
  14. 14.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
  15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  16. 16.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
  17. 17.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
  18. 18.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
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
  21. 21.A bag has 2 blue, 6 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/7 (b) 13/14 (c) 1/7 (d) 1/3
  22. 22.A bag has 4 blue, 9 green and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/5 (b) 17/20 (c) 1/5 (d) 1/3
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/11 (d) 1/6
  24. 24.A bag has 7 green, 3 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/14 (b) 3/17 (c) 14/17 (d) 1/3
  25. 25.A bag has 3 green, 6 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/17 (b) 15/17 (c) 1/3 (d) 14/17
  26. 26.A bag has 4 green, 2 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/9 (b) 1/3 (c) 4/5 (d) 5/9
  27. 27.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
  28. 28.A bag has 8 green, 6 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/15 (b) 8/23 (c) 1/3 (d) 15/23
  29. 29.A bag has 8 yellow, 7 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 15/19 (c) 16/19 (d) 4/19
  30. 30.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/2 (d) 1/3
  31. 31.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  32. 32.A bag has 9 green, 7 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/9 (b) 1/3 (c) 1/18 (d) 1/2
  33. 33.A bag has 3 red, 4 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 5/12 (c) 2/3 (d) 7/12
  34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
  35. 35.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
  36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
  37. 37.A bag has 3 blue, 2 red and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/13 (b) 1/3 (c) 9/13 (d) 5/13
  38. 38.A bag has 6 red, 8 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 1/3 (c) 3/10 (d) 7/10
  39. 39.A bag has 3 white, 7 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/14 (b) 3/11 (c) 1/3 (d) 3/14
  40. 40.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

Answer key

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

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