Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 618 · 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.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/8 (c) 7/8 (d) 1/4
2. 2.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/2 (c) 1/3 (d) 1/4
3. 3.A bag has 3 white, 6 green and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 6/17 (c) 11/17 (d) 12/17
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
5. 5.A bag has 7 yellow, 6 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/15 (b) 7/15 (c) 7/8 (d) 1/3
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
7. 7.A bag has 9 yellow, 7 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/22 (c) 13/22 (d) 9/13
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
10. 10.A bag has 6 yellow, 6 red and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 4/7 (c) 3/7 (d) 1/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/36 (d) 1/12
14. 14.A bag has 3 yellow, 7 white and 3 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/13 (b) 1/3 (c) 8/13 (d) 6/13
15. 15.A bag has 7 red, 7 green and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 15/16 (b) 1/3 (c) 1/8 (d) 7/8
16. 16.A bag has 7 yellow, 5 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 13/20 (c) 7/10 (d) 7/20
17. 17.A bag has 7 blue, 7 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/18 (b) 1/3 (c) 7/11 (d) 11/18
18. 18.A bag has 5 white, 2 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/6 (b) 6/11 (c) 5/11 (d) 1/3
19. 19.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
20. 20.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 2/3 (d) 1/4
21. 21.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
22. 22.A bag has 8 red, 9 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/17 (b) 17/23 (c) 1/3 (d) 6/23
23. 23.A bag has 7 blue, 4 green and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/15 (c) 4/11 (d) 11/15
24. 24.A bag has 3 blue, 2 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/7 (c) 2/7 (d) 2/5
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
27. 27.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 3/5 (d) 5/8
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
29. 29.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 1/11 (d) 4/11
31. 31.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
32. 32.A bag has 9 green, 7 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 17/18 (c) 8/9 (d) 1/9
33. 33.A bag has 8 red, 6 blue 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
34. 34.A bag has 9 blue, 7 green and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/23 (b) 1/3 (c) 15/23 (d) 14/23
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
36. 36.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 5/6 (c) 1/6 (d) 1/5
37. 37.A bag has 5 white, 9 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/7 (b) 1/3 (c) 7/8 (d) 1/8
38. 38.A bag has 3 red, 3 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/13 (b) 6/13 (c) 1/3 (d) 6/7
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
40. 40.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) 1/8 (d) 3/4

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