← Probability basics lesson New set →

Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 46 · 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 coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
  2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
  3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
  4. 4.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
  5. 5.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 3/8 (d) 5/8
  6. 6.A bag has 4 white, 8 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/17 (b) 13/17 (c) 4/13 (d) 1/3
  7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
  8. 8.A bag has 3 blue, 6 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/6 (b) 1/3 (c) 3/4 (d) 1/4
  9. 9.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
  10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
  11. 11.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
  12. 12.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
  13. 13.A bag has 8 yellow, 9 green and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 2/3 (d) 3/8
  14. 14.A bag has 7 yellow, 4 red and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 15/19 (b) 4/19 (c) 1/3 (d) 4/15
  15. 15.A bag has 5 red, 6 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/13 (b) 1/3 (c) 8/13 (d) 6/13
  16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 3/11 (d) 1/9
  17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
  18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
  19. 19.A bag has 3 red, 9 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 6/7 (b) 1/7 (c) 1/3 (d) 19/21
  20. 20.A bag has 6 green, 9 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/11 (b) 11/17 (c) 1/3 (d) 6/17
  21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 7/8 (d) 3/8
  22. 22.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
  23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
  24. 24.A bag has 2 white, 3 green and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/7 (c) 2/5 (d) 5/7
  25. 25.A bag has 7 yellow, 2 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/12 (c) 7/12 (d) 2/3
  26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
  27. 27.A bag has 3 blue, 7 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/15 (c) 1/15 (d) 2/3
  28. 28.A bag has 4 green, 7 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/8 (b) 7/16 (c) 9/16 (d) 1/3
  29. 29.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
  30. 30.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
  31. 31.A bag has 9 yellow, 2 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/16 (b) 1/3 (c) 7/16 (d) 7/9
  32. 32.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
  33. 33.A bag has 2 red, 5 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 4/11 (c) 7/11 (d) 8/11
  34. 34.A bag has 3 white, 6 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/7 (b) 3/7 (c) 3/4 (d) 1/3
  35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
  36. 36.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
  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 5 white, 7 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/14 (b) 14/19 (c) 5/19 (d) 1/3
  39. 39.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
  40. 40.A bag has 3 red, 5 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/16 (b) 1/2 (c) 1/16 (d) 1/3

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad