Probability Worksheet for Class 8 Maths Olympiad

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

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