Probability Worksheet for Class 8 Maths Olympiad

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

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