Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 526 · 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 less than 3? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
2. 2.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
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 4/11 (c) 1/9 (d) 5/36
4. 4.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
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 1/6 (c) 7/36 (d) 6/11
6. 6.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) 1/2 (d) 1/3
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
8. 8.A bag has 2 white, 7 green and 7 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/7 (b) 1/3 (c) 7/8 (d) 1/8
9. 9.A bag has 5 blue, 6 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 12/19 (b) 1/3 (c) 8/19 (d) 11/19
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
12. 12.A bag has 6 blue, 8 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 10/17 (c) 9/17 (d) 8/17
13. 13.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
14. 14.A bag has 7 green, 7 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/16 (b) 7/16 (c) 7/9 (d) 1/3
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
17. 17.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
18. 18.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
19. 19.A bag has 9 yellow, 8 green and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/17 (b) 1/3 (c) 17/24 (d) 7/24
20. 20.A bag has 7 green, 8 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/22 (b) 15/22 (c) 1/3 (d) 8/11
21. 21.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/8 (c) 3/8 (d) 1/4
22. 22.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
23. 23.A bag has 4 blue, 7 red and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 11/18 (c) 7/11 (d) 7/18
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/11 (c) 1/11 (d) 5/36
25. 25.A bag has 5 yellow, 9 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/23 (c) 9/14 (d) 14/23
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
27. 27.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
29. 29.A bag has 4 red, 5 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 5/13 (c) 8/13 (d) 9/13
30. 30.A bag has 3 red, 9 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/7 (c) 1/6 (d) 6/7
31. 31.A bag has 3 green, 5 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/16 (b) 5/11 (c) 1/3 (d) 5/16
32. 32.A bag has 3 yellow, 2 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/8 (b) 3/4 (c) 5/8 (d) 1/3
33. 33.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/4 (c) 7/8 (d) 1/8
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/4 (c) 5/6 (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.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
37. 37.A bag has 4 blue, 4 white and 9 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/13 (b) 13/17 (c) 1/3 (d) 4/17
38. 38.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
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
40. 40.A fair dice is rolled once. What is the probability of getting a number greater 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