Probability Worksheet for Class 8 Maths Olympiad

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

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