Probability Worksheet for Class 8 Maths Olympiad

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

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