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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 951 · 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 2? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
  2. 2.A bag has 3 white, 4 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/12 (c) 5/12 (d) 5/7
  3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
  4. 4.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
  6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 5/8 (d) 3/8
  7. 7.A bag has 9 yellow, 2 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 4/15 (c) 11/15 (d) 4/5
  8. 8.A bag has 5 blue, 3 red and 2 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/10 (c) 7/10 (d) 3/7
  9. 9.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
  10. 10.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
  11. 11.A bag has 3 green, 7 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/6 (b) 1/5 (c) 1/3 (d) 1/6
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
  13. 13.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
  14. 14.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 2/3 (c) 1/4 (d) 1/3
  15. 15.A bag has 9 blue, 3 red and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/5 (b) 9/20 (c) 11/20 (d) 1/3
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
  17. 17.A bag has 5 blue, 4 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/4 (c) 1/4 (d) 1/12
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
  19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
  20. 20.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
  21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
  22. 22.A bag has 7 white, 2 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 13/15 (b) 1/3 (c) 2/13 (d) 2/15
  23. 23.A bag has 4 red, 9 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/9 (b) 1/18 (c) 1/2 (d) 1/3
  24. 24.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
  25. 25.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/4 (d) 1/8
  26. 26.A bag has 2 blue, 7 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/12 (b) 1/3 (c) 7/12 (d) 2/3
  27. 27.A bag has 7 yellow, 7 white and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/18 (b) 1/3 (c) 11/18 (d) 7/11
  28. 28.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
  29. 29.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
  31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
  32. 32.A bag has 7 green, 8 white and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/8 (b) 1/3 (c) 5/8 (d) 3/5
  33. 33.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 7/8 (d) 1/8
  34. 34.A bag has 5 yellow, 7 white and 3 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 2/3 (c) 1/2 (d) 1/3
  35. 35.A bag has 5 blue, 7 green and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 12/19 (b) 7/19 (c) 7/12 (d) 1/3
  36. 36.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  37. 37.A bag has 5 green, 2 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 14/15 (b) 1/3 (c) 13/15 (d) 2/15
  38. 38.A bag has 3 white, 5 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/14 (b) 11/14 (c) 6/7 (d) 1/3
  39. 39.A bag has 4 blue, 2 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/12 (b) 1/3 (c) 1/12 (d) 1/2
  40. 40.A bag has 9 green, 4 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/17 (b) 1/3 (c) 14/17 (d) 13/17

Answer key

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

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