Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 702 · 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 fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
3. 3.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
4. 4.A bag has 5 white, 5 red and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/13 (b) 1/3 (c) 3/10 (d) 10/13
5. 5.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
6. 6.A bag has 8 red, 7 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 3/5 (c) 3/8 (d) 5/8
7. 7.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 3/8 (d) 1/4
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 3/11 (c) 1/9 (d) 1/11
9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 3/5 (c) 1/4 (d) 5/8
10. 10.A bag has 2 white, 9 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/11 (b) 11/13 (c) 2/13 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
13. 13.A bag has 4 yellow, 3 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/16 (b) 3/16 (c) 1/3 (d) 7/8
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
15. 15.A bag has 6 yellow, 7 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 17/22 (b) 3/11 (c) 1/3 (d) 8/11
16. 16.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
17. 17.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
19. 19.A bag has 7 green, 8 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 7/10 (c) 7/20 (d) 13/20
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 7/36 (d) 6/11
24. 24.A bag has 9 red, 4 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/19 (b) 11/19 (c) 1/3 (d) 10/19
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
26. 26.A bag has 7 red, 2 white and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/12 (c) 3/4 (d) 1/4
27. 27.A bag has 4 white, 9 green and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/17 (b) 4/17 (c) 4/13 (d) 1/3
28. 28.A bag has 3 red, 4 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/9 (b) 1/3 (c) 5/9 (d) 4/5
29. 29.A bag has 9 red, 6 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/5 (b) 1/3 (c) 5/7 (d) 2/7
30. 30.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 3/8 (d) 1/4
31. 31.A bag has 7 red, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/7 (c) 6/7 (d) 1/6
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/18 (d) 1/11
33. 33.A bag has 9 red, 3 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/14 (c) 14/17 (d) 3/17
34. 34.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
36. 36.A bag has 8 red, 7 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/17 (b) 7/24 (c) 17/24 (d) 1/3
37. 37.A bag has 5 red, 7 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/3 (c) 7/18 (d) 11/18
38. 38.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/7 (d) 1/8
39. 39.A bag has 8 red, 7 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/8 (b) 3/8 (c) 1/3 (d) 3/5
40. 40.A bag has 4 green, 4 blue and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/16 (b) 1/16 (c) 1/3 (d) 1/2

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