Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 557 · 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.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 1/4 (c) 3/8 (d) 3/5
3. 3.A bag has 5 white, 3 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/12 (b) 1/3 (c) 7/12 (d) 2/3
4. 4.A bag has 3 red, 3 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/4 (b) 3/4 (c) 1/3 (d) 3/8
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 6/11 (d) 1/11
6. 6.A bag has 4 yellow, 3 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
8. 8.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
9. 9.A bag has 8 white, 8 green and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 8/11 (c) 17/22 (d) 3/11
10. 10.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
11. 11.A bag has 7 blue, 2 red and 4 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/13 (b) 2/11 (c) 1/3 (d) 11/13
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
13. 13.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
14. 14.A bag has 4 green, 3 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/10 (c) 7/10 (d) 4/5
15. 15.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
16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
17. 17.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/6 (c) 1/5 (d) 5/6
18. 18.A bag has 2 red, 3 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/11 (b) 3/8 (c) 1/3 (d) 3/11
19. 19.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
20. 20.A bag has 8 green, 3 white and 7 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 2/3 (c) 7/18 (d) 11/18
21. 21.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) 3/4 (d) 3/8
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
24. 24.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
25. 25.A bag has 2 green, 9 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/11 (b) 11/13 (c) 1/3 (d) 2/13
26. 26.A bag has 2 white, 6 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/5 (b) 1/4 (c) 1/5 (d) 1/3
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
28. 28.A bag has 5 green, 7 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/17 (b) 12/17 (c) 1/3 (d) 13/17
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
31. 31.A bag has 2 white, 7 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/13 (b) 4/9 (c) 9/13 (d) 1/3
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 5/36 (d) 1/6
33. 33.A bag has 2 green, 9 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/7 (b) 1/3 (c) 9/14 (d) 5/14
34. 34.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
35. 35.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
37. 37.A bag has 8 red, 8 white and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/16 (b) 1/3 (c) 5/21 (d) 16/21
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
39. 39.A bag has 5 yellow, 4 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 5/8 (c) 8/13 (d) 1/3
40. 40.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad