Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 84 · 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 number greater than 1? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
2. 2.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 5/36 (d) 1/11
5. 5.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
7. 7.A bag has 5 white, 5 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/15 (b) 1/3 (c) 2/3 (d) 11/15
8. 8.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
9. 9.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
10. 10.A bag has 8 red, 3 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/17 (b) 8/9 (c) 8/17 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
12. 12.A bag has 7 red, 2 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/15 (b) 13/15 (c) 1/3 (d) 2/13
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
15. 15.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/4 (d) 1/8
16. 16.A bag has 3 red, 4 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 4/13 (b) 1/3 (c) 9/13 (d) 10/13
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 5/36 (d) 1/11
18. 18.A bag has 4 white, 7 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/13 (b) 4/13 (c) 1/3 (d) 4/9
19. 19.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) 3/8 (d) 3/4
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
22. 22.A bag has 3 white, 5 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 3/16 (c) 13/16 (d) 7/8
23. 23.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
24. 24.A bag has 6 red, 3 green and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/14 (b) 1/3 (c) 3/14 (d) 3/11
25. 25.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
26. 26.A bag has 7 blue, 9 white and 4 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/13 (b) 13/20 (c) 7/20 (d) 1/3
27. 27.A bag has 7 red, 3 white and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/4 (b) 1/12 (c) 3/4 (d) 1/3
28. 28.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
29. 29.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
31. 31.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 5/6 (c) 1/4 (d) 1/3
32. 32.A bag has 2 yellow, 4 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/6 (c) 5/11 (d) 6/11
33. 33.A bag has 4 blue, 9 red and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/22 (b) 13/22 (c) 9/13 (d) 1/3
34. 34.A bag has 6 green, 6 red and 9 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/7 (b) 16/21 (c) 1/3 (d) 5/7
35. 35.A bag has 8 yellow, 8 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 2/5 (c) 3/5 (d) 1/3
36. 36.A bag has 5 blue, 5 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/11 (b) 1/3 (c) 11/16 (d) 5/16
37. 37.A bag has 6 green, 2 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/15 (b) 8/15 (c) 7/8 (d) 1/3
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/12 (d) 1/11
39. 39.A bag has 7 green, 2 blue and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/18 (b) 5/9 (c) 1/2 (d) 1/3
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 1/11 (d) 7/36

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