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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 955 · 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 5? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
  2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
  3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
  5. 5.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
  6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/5 (d) 1/3
  7. 7.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 3/8 (d) 1/8
  8. 8.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/8 (c) 1/7 (d) 1/4
  9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
  10. 10.A bag has 7 red, 8 white and 9 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 2/3 (c) 3/8 (d) 1/3
  11. 11.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
  13. 13.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  14. 14.A bag has 5 white, 6 yellow and 8 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/13 (b) 13/19 (c) 6/19 (d) 1/3
  15. 15.A bag has 8 yellow, 9 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 17/22 (b) 5/17 (c) 1/3 (d) 5/22
  16. 16.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
  17. 17.A bag has 7 yellow, 7 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 15/16 (b) 1/8 (c) 1/3 (d) 7/8
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
  19. 19.A bag has 5 yellow, 4 white and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/9 (c) 9/14 (d) 5/14
  20. 20.A bag has 3 yellow, 3 green and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 9/14 (c) 4/7 (d) 1/3
  21. 21.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
  22. 22.A bag has 9 green, 7 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 17/18 (b) 8/9 (c) 1/9 (d) 1/3
  23. 23.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
  24. 24.A bag has 3 white, 8 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 15/17 (c) 14/17 (d) 3/17
  25. 25.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
  27. 27.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
  28. 28.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
  29. 29.A bag has 6 green, 6 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/7 (b) 1/3 (c) 5/7 (d) 2/5
  30. 30.A bag has 6 yellow, 6 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 3/10 (c) 7/10 (d) 1/3
  31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
  32. 32.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
  33. 33.A bag has 2 yellow, 6 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/15 (b) 2/13 (c) 1/3 (d) 13/15
  34. 34.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  35. 35.A bag has 7 green, 3 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/17 (b) 1/3 (c) 10/17 (d) 11/17
  36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
  37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 6/11 (d) 1/6
  38. 38.A bag has 9 yellow, 4 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/11 (c) 19/22 (d) 9/11
  39. 39.A bag has 4 yellow, 4 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/15 (b) 7/8 (c) 1/3 (d) 7/15
  40. 40.A bag has 2 yellow, 4 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/11 (b) 7/11 (c) 4/11 (d) 1/3

Answer key

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

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