Probability Worksheet for Class 8 Maths Olympiad

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

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