Probability Worksheet for Class 8 Maths Olympiad

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

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