Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 75 · 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 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
2. 2.A bag has 8 white, 2 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/11 (b) 1/3 (c) 11/13 (d) 2/13
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
7. 7.A bag has 7 yellow, 5 white and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/16 (b) 1/3 (c) 3/4 (d) 1/4
8. 8.A bag has 9 red, 7 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/5 (b) 1/3 (c) 17/20 (d) 4/5
9. 9.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
10. 10.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
12. 12.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
13. 13.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
14. 14.A bag has 9 yellow, 6 red and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/15 (b) 15/22 (c) 7/22 (d) 1/3
15. 15.A bag has 4 red, 2 white and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
16. 16.A bag has 6 yellow, 4 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/7 (b) 3/7 (c) 9/14 (d) 1/3
17. 17.A bag has 3 blue, 5 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/16 (c) 7/8 (d) 13/16
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/3 (c) 5/6 (d) 1/6
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
21. 21.A bag has 7 yellow, 7 white and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/2 (b) 8/21 (c) 1/3 (d) 2/3
22. 22.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
23. 23.A bag has 9 yellow, 4 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/2 (b) 5/9 (c) 1/18 (d) 1/3
24. 24.A bag has 2 green, 5 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/4 (c) 1/5 (d) 1/3
25. 25.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
26. 26.A bag has 5 red, 6 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/5 (b) 1/3 (c) 3/4 (d) 1/4
27. 27.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
28. 28.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 1/11 (d) 7/36
30. 30.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 1/8 (d) 3/8
31. 31.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
32. 32.A bag has 6 white, 4 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 7/12 (c) 1/3 (d) 1/12
33. 33.A bag has 3 yellow, 5 red and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/10 (b) 3/7 (c) 1/3 (d) 7/10
34. 34.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
35. 35.A bag has 2 white, 8 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/8 (b) 1/8 (c) 1/7 (d) 1/3
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
37. 37.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
38. 38.A bag has 4 blue, 4 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/13 (c) 10/13 (d) 9/13
39. 39.A bag has 3 red, 3 green and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/5 (b) 1/5 (c) 1/4 (d) 1/3
40. 40.A bag has 6 blue, 5 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 9/20 (c) 11/20 (d) 1/3

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