Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 156 · 40 questions

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.

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

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