Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 761 · 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 6 white, 5 red and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/15 (b) 1/3 (c) 4/11 (d) 4/15
2. 2.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
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
4. 4.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
5. 5.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
6. 6.A bag has 3 blue, 5 green and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/11 (b) 3/8 (c) 8/11 (d) 1/3
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
8. 8.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
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
10. 10.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
11. 11.A bag has 8 green, 6 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/8 (b) 1/3 (c) 3/5 (d) 5/8
12. 12.A bag has 8 blue, 9 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/24 (b) 3/4 (c) 1/3 (d) 17/24
13. 13.A bag has 6 red, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/13 (b) 2/13 (c) 11/13 (d) 1/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
16. 16.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
17. 17.A bag has 9 blue, 4 red and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/18 (b) 5/18 (c) 5/13 (d) 1/3
18. 18.A bag has 6 white, 4 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/10 (b) 10/17 (c) 7/17 (d) 1/3
19. 19.A bag has 5 white, 8 green and 2 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/5 (c) 8/15 (d) 7/15
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
21. 21.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
22. 22.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) 1/8 (d) 1/4
23. 23.A bag has 8 white, 2 red and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/8 (b) 11/16 (c) 5/8 (d) 1/3
24. 24.A bag has 3 yellow, 7 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/17 (b) 15/17 (c) 1/3 (d) 14/17
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5
26. 26.A bag has 7 yellow, 9 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/18 (c) 7/18 (d) 2/3
27. 27.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
28. 28.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 3/8 (d) 1/8
29. 29.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
31. 31.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
33. 33.A bag has 7 yellow, 3 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 11/17 (b) 10/17 (c) 7/17 (d) 1/3
34. 34.A bag has 6 red, 7 green and 5 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/18 (b) 2/3 (c) 1/2 (d) 1/3
35. 35.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
36. 36.A bag has 3 red, 3 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/5 (b) 1/3 (c) 13/15 (d) 1/5
37. 37.A bag has 9 blue, 9 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/7 (b) 13/21 (c) 1/3 (d) 3/7
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
39. 39.A bag has 7 yellow, 2 white and 7 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/8 (b) 7/8 (c) 15/16 (d) 1/3
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18

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