Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 667 · 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 number greater than 2? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
3. 3.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
4. 4.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
5. 5.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
6. 6.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 1/4 (d) 3/4
7. 7.A bag has 7 red, 5 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/19 (b) 12/19 (c) 1/3 (d) 13/19
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
10. 10.A bag has 9 white, 5 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/4 (b) 1/3 (c) 1/4 (d) 3/10
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
12. 12.A bag has 3 green, 8 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 1/3 (c) 7/18 (d) 11/18
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
14. 14.A bag has 3 white, 5 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/16 (b) 3/4 (c) 1/3 (d) 5/16
15. 15.A bag has 5 yellow, 9 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 12/17 (b) 13/17 (c) 1/3 (d) 5/17
16. 16.A bag has 8 white, 3 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/18 (b) 1/3 (c) 7/11 (d) 7/18
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 6/11 (d) 7/36
19. 19.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/7 (d) 1/8
20. 20.A bag has 5 yellow, 5 green and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 13/18 (c) 5/18 (d) 5/13
21. 21.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
22. 22.A bag has 6 blue, 3 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/4 (c) 4/5 (d) 1/3
23. 23.A bag has 9 yellow, 5 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/17 (b) 12/17 (c) 5/17 (d) 1/3
24. 24.A bag has 7 red, 6 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/15 (c) 7/15 (d) 3/5
25. 25.A bag has 3 white, 7 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/15 (c) 7/15 (d) 7/8
26. 26.A bag has 7 red, 9 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/24 (b) 7/17 (c) 1/3 (d) 17/24
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
28. 28.A bag has 7 green, 8 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/19 (b) 7/19 (c) 1/3 (d) 12/19
29. 29.A bag has 5 red, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/12 (b) 2/3 (c) 1/2 (d) 1/3
30. 30.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/11 (d) 5/36
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
33. 33.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
34. 34.A bag has 9 red, 4 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 17/20 (b) 1/5 (c) 1/3 (d) 4/5
35. 35.A bag has 7 green, 6 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/13 (b) 1/3 (c) 9/22 (d) 13/22
36. 36.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
37. 37.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
38. 38.A bag has 2 white, 2 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/10 (b) 1/3 (c) 4/5 (d) 1/5
39. 39.A bag has 2 green, 5 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/9 (b) 2/3 (c) 5/9 (d) 1/3
40. 40.A bag has 4 blue, 8 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/9 (b) 1/3 (c) 5/6 (d) 7/9

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