Probability Worksheet for Class 8 Maths Olympiad

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

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