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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 249 · 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 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
  2. 2.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
  3. 3.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) 1/4 (d) 3/4
  4. 4.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
  5. 5.A bag has 7 red, 7 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 7/8 (c) 1/8 (d) 15/16
  6. 6.A bag has 6 white, 2 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 7/12 (c) 1/12 (d) 1/3
  7. 7.A bag has 2 yellow, 9 white and 4 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/15 (b) 14/15 (c) 1/3 (d) 2/15
  8. 8.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
  9. 9.A bag has 8 white, 4 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/7 (b) 13/14 (c) 6/7 (d) 1/3
  10. 10.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
  11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 7/36 (d) 1/6
  12. 12.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
  13. 13.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
  14. 14.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
  15. 15.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
  16. 16.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  17. 17.A bag has 5 green, 3 red and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/5 (b) 1/4 (c) 1/3 (d) 4/5
  18. 18.A bag has 5 red, 7 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/19 (b) 7/12 (c) 12/19 (d) 1/3
  19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
  20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
  21. 21.A bag has 4 blue, 3 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 2/5 (c) 3/5 (d) 1/3
  22. 22.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
  23. 23.A bag has 9 yellow, 5 white and 9 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 18/23 (c) 5/18 (d) 5/23
  24. 24.A bag has 9 white, 7 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 3/5 (b) 9/20 (c) 11/20 (d) 1/3
  25. 25.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
  26. 26.A bag has 6 blue, 6 green and 6 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/18 (b) 1/3 (c) 2/3 (d) 1/2
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
  28. 28.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
  29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/11 (d) 1/9
  30. 30.A bag has 7 white, 5 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 7/19 (c) 12/19 (d) 13/19
  31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
  32. 32.A bag has 3 red, 2 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/7 (b) 1/3 (c) 5/7 (d) 4/7
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
  34. 34.A bag has 2 blue, 5 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/8 (b) 1/8 (c) 1/3 (d) 15/16
  35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
  36. 36.A bag has 8 blue, 6 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 8/23 (c) 15/23 (d) 16/23
  37. 37.A bag has 2 green, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/7 (b) 1/3 (c) 1/6 (d) 1/7
  38. 38.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
  39. 39.A bag has 2 green, 6 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/11 (b) 3/11 (c) 1/3 (d) 8/11
  40. 40.A bag has 5 blue, 8 red and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/19 (b) 1/3 (c) 5/14 (d) 14/19

Answer key

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

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