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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 468 · 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 6 blue, 7 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/10 (b) 1/3 (c) 7/10 (d) 3/4
  2. 2.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
  4. 4.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
  5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
  6. 6.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
  8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
  11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  12. 12.A bag has 9 blue, 6 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/6 (b) 1/6 (c) 1/3 (d) 8/9
  13. 13.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
  14. 14.A bag has 5 blue, 3 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/14 (c) 3/11 (d) 11/14
  15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/6 (c) 1/11 (d) 6/11
  16. 16.A bag has 2 blue, 7 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/6 (b) 1/3 (c) 5/6 (d) 11/12
  17. 17.A bag has 6 green, 9 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 15/23 (c) 8/23 (d) 16/23
  18. 18.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/4 (d) 1/2
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/11 (c) 2/11 (d) 1/12
  21. 21.A bag has 8 yellow, 5 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/20 (b) 3/5 (c) 2/5 (d) 1/3
  22. 22.A bag has 3 red, 7 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/16 (b) 16/19 (c) 3/19 (d) 1/3
  23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
  24. 24.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
  25. 25.A bag has 6 white, 5 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/8 (b) 1/3 (c) 3/5 (d) 3/8
  26. 26.A bag has 8 blue, 3 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 4/5 (c) 1/4 (d) 1/5
  27. 27.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
  29. 29.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 1/4 (d) 3/5
  30. 30.A bag has 9 yellow, 4 red and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 1/18 (d) 5/9
  31. 31.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  32. 32.A bag has 5 white, 4 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/18 (b) 13/18 (c) 5/13 (d) 1/3
  33. 33.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 3/4 (d) 1/8
  34. 34.A bag has 8 green, 2 white and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 9/17 (b) 8/9 (c) 8/17 (d) 1/3
  35. 35.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/8 (c) 1/4 (d) 1/7
  36. 36.A bag has 8 yellow, 4 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/20 (b) 2/5 (c) 1/3 (d) 3/5
  37. 37.A bag has 3 green, 4 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/13 (b) 3/13 (c) 10/13 (d) 1/3
  38. 38.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  39. 39.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 3/8 (d) 1/4
  40. 40.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6

Answer key

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

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