Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 868 · 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 7? (a) 6/11 (b) 1/6 (c) 7/36 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
3. 3.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
4. 4.A bag has 9 green, 4 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/4 (c) 5/16 (d) 1/4
5. 5.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 5/8 (d) 3/5
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
7. 7.A bag has 7 blue, 9 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/8 (b) 1/3 (c) 5/8 (d) 2/3
8. 8.A bag has 7 red, 7 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/22 (b) 1/3 (c) 15/22 (d) 8/11
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 dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
12. 12.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
13. 13.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) 1/3 (d) 1/4
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
15. 15.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
16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
17. 17.A bag has 6 green, 6 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 1/3 (c) 5/8 (d) 3/8
18. 18.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
20. 20.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) 3/8 (d) 3/4
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
22. 22.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
23. 23.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
24. 24.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 7/8 (d) 1/7
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
26. 26.A bag has 6 white, 9 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 3/8 (c) 5/8 (d) 1/3
27. 27.A bag has 2 red, 7 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 12/13 (b) 1/3 (c) 11/13 (d) 2/13
28. 28.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
29. 29.A bag has 8 yellow, 2 green and 8 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 1/3 (c) 4/9 (d) 5/9
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
31. 31.A bag has 9 red, 7 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 2/3 (c) 3/8 (d) 5/8
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
34. 34.A bag has 7 blue, 9 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/19 (b) 7/12 (c) 1/3 (d) 12/19
35. 35.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
36. 36.A bag has 5 red, 3 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/16 (c) 1/16 (d) 1/2
37. 37.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
38. 38.A bag has 8 blue, 6 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/8 (b) 1/7 (c) 7/8 (d) 1/3
39. 39.A bag has 4 yellow, 3 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/10 (b) 1/3 (c) 2/5 (d) 3/5
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/6 (c) 5/6 (d) 1/5

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