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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 874 · 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 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
  2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/6 (c) 1/3 (d) 5/6
  3. 3.A bag has 8 green, 9 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 10/19 (b) 11/19 (c) 9/19 (d) 1/3
  4. 4.A bag has 2 white, 6 red and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/2 (b) 1/3 (c) 1/12 (d) 7/12
  5. 5.A bag has 5 blue, 7 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/15 (b) 1/3 (c) 8/15 (d) 3/5
  6. 6.A bag has 2 green, 3 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/8 (b) 3/8 (c) 1/3 (d) 3/5
  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) 1/6 (d) 7/36
  8. 8.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
  9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
  10. 10.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) 1/4 (d) 1/2
  11. 11.A bag has 3 yellow, 2 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/5 (b) 1/3 (c) 3/10 (d) 7/10
  12. 12.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
  13. 13.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
  14. 14.A bag has 7 white, 9 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3
  15. 15.A bag has 9 blue, 2 green and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/15 (b) 4/15 (c) 4/11 (d) 1/3
  16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
  17. 17.A bag has 5 yellow, 3 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/15 (c) 8/15 (d) 7/8
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
  19. 19.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
  20. 20.A bag has 8 yellow, 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) 18/25 (c) 8/25 (d) 17/25
  21. 21.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
  22. 22.A bag has 7 yellow, 9 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/19 (b) 16/19 (c) 1/3 (d) 17/19
  23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
  24. 24.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
  25. 25.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
  26. 26.A bag has 8 yellow, 3 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 10/17 (c) 8/17 (d) 9/17
  27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
  28. 28.A bag has 7 red, 6 green and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/17 (b) 4/13 (c) 1/3 (d) 4/17
  29. 29.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 3/4 (c) 1/8 (d) 1/4
  30. 30.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
  31. 31.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
  32. 32.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 3/8 (d) 5/8
  33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
  34. 34.A bag has 8 green, 2 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/8 (b) 1/3 (c) 3/5 (d) 3/8
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
  36. 36.A bag has 6 blue, 4 red and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/19 (b) 1/3 (c) 10/19 (d) 9/19
  37. 37.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
  38. 38.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
  39. 39.A bag has 5 red, 4 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/13 (b) 1/3 (c) 5/13 (d) 8/13
  40. 40.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8

Answer key

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

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