Probability Worksheet for Class 8 Maths Olympiad

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

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