Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 183 · 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 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
4. 4.A bag has 8 red, 6 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 1/7 (c) 1/8 (d) 7/8
5. 5.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
6. 6.A bag has 9 blue, 4 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/9 (b) 7/16 (c) 9/16 (d) 1/3
7. 7.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
8. 8.A bag has 9 red, 7 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/11 (c) 9/20 (d) 11/20
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
10. 10.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
12. 12.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
13. 13.A bag has 4 green, 3 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/10 (b) 3/7 (c) 7/10 (d) 1/3
14. 14.A bag has 9 blue, 6 white and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 3/4 (c) 3/7 (d) 4/7
15. 15.A bag has 3 blue, 7 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 11/18 (b) 5/9 (c) 4/9 (d) 1/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
17. 17.A bag has 5 yellow, 8 white and 4 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 12/17 (b) 1/3 (c) 5/12 (d) 5/17
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
19. 19.A bag has 5 yellow, 9 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/13 (c) 13/18 (d) 5/18
20. 20.A bag has 3 white, 9 red and 5 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/17 (b) 1/3 (c) 3/14 (d) 14/17
21. 21.A bag has 3 blue, 7 yellow and 2 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/12
22. 22.A bag has 6 yellow, 4 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/16 (b) 1/3 (c) 1/4 (d) 3/4
23. 23.A bag has 3 white, 9 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/16 (b) 9/16 (c) 1/3 (d) 7/9
24. 24.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
25. 25.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 1/4 (d) 5/8
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
27. 27.A bag has 3 green, 4 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 10/13 (b) 11/13 (c) 1/3 (d) 3/13
28. 28.A bag has 9 white, 5 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/17 (b) 5/12 (c) 12/17 (d) 1/3
29. 29.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
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
31. 31.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) 2/3 (d) 1/2
32. 32.A bag has 5 white, 5 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/18 (b) 1/3 (c) 5/13 (d) 13/18
33. 33.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
34. 34.A bag has 8 blue, 8 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 13/21 (c) 8/13 (d) 8/21
35. 35.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
37. 37.A bag has 6 yellow, 9 green and 6 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/7 (b) 3/4 (c) 3/7 (d) 1/3
38. 38.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
39. 39.A bag has 9 white, 8 red and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 9/19 (c) 10/19 (d) 9/10
40. 40.A bag has 2 green, 9 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 6/7 (b) 1/3 (c) 1/7 (d) 1/6

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