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Probability Worksheet for Class 8 Maths Olympiad

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

Answer key

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

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