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Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 967 · 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.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 1/8 (d) 3/8
  2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
  3. 3.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/4
  4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
  5. 5.A bag has 4 red, 4 blue and 2 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
  6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
  7. 7.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
  8. 8.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
  9. 9.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
  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.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
  12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 4/11 (c) 1/11 (d) 5/36
  13. 13.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
  14. 14.A bag has 2 blue, 2 green and 7 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 10/11 (b) 1/3 (c) 9/11 (d) 2/11
  15. 15.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 1/7 (d) 7/8
  16. 16.A bag has 6 blue, 2 red and 6 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 6/7 (b) 1/3 (c) 13/14 (d) 1/7
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
  18. 18.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
  19. 19.A bag has 3 white, 2 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 5/8 (c) 3/8 (d) 1/3
  20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
  21. 21.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
  22. 22.A bag has 3 blue, 3 red and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/10 (b) 1/3 (c) 3/7 (d) 3/10
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
  24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
  25. 25.A bag has 9 white, 3 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/17 (b) 8/17 (c) 1/3 (d) 10/17
  26. 26.A bag has 4 yellow, 8 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/12 (b) 5/17 (c) 1/3 (d) 12/17
  27. 27.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
  28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
  29. 29.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
  30. 30.A bag has 7 yellow, 9 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 15/23 (c) 14/23 (d) 9/23
  31. 31.A bag has 3 blue, 4 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/16 (b) 1/3 (c) 5/8 (d) 9/16
  32. 32.A bag has 6 blue, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/14 (b) 3/14 (c) 1/3 (d) 3/11
  33. 33.A bag has 6 red, 2 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/17 (b) 11/17 (c) 6/11 (d) 1/3
  34. 34.A bag has 7 red, 7 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/14 (b) 1/3 (c) 14/17 (d) 3/17
  35. 35.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
  36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
  37. 37.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 1/4 (d) 3/8
  38. 38.A bag has 4 red, 4 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 5/7 (c) 2/7 (d) 2/5
  39. 39.A bag has 4 blue, 8 red and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/16 (b) 1/3 (c) 1/4 (d) 3/4
  40. 40.A bag has 3 white, 8 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/11 (c) 11/14 (d) 3/14

Answer key

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

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