Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 419 · 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 prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
3. 3.A bag has 8 blue, 3 green and 7 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/18 (c) 2/3 (d) 7/18
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/9 (c) 1/11 (d) 3/11
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
7. 7.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 blue? (a) 1/3 (b) 1/16 (c) 1/2 (d) 9/16
8. 8.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
9. 9.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
10. 10.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 3/4 (d) 1/4
11. 11.A bag has 3 red, 5 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/5 (b) 13/15 (c) 1/5 (d) 1/3
12. 12.A bag has 9 white, 2 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 5/14 (c) 5/9 (d) 1/3
13. 13.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
14. 14.A bag has 3 green, 2 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/11 (b) 6/11 (c) 5/6 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
17. 17.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/2 (d) 1/3
18. 18.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
19. 19.A bag has 9 white, 7 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 3/4 (b) 7/24 (c) 17/24 (d) 1/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
21. 21.A bag has 5 red, 8 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 14/17 (c) 13/17 (d) 4/17
22. 22.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
23. 23.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
24. 24.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
25. 25.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
26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
29. 29.A bag has 6 red, 8 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/7 (b) 2/7 (c) 2/5 (d) 1/3
30. 30.A bag has 3 white, 4 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/16 (b) 1/3 (c) 7/16 (d) 5/8
31. 31.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 7/36 (d) 1/11
33. 33.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 5/8 (d) 1/4
34. 34.A bag has 4 green, 6 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/10 (b) 10/13 (c) 3/13 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
36. 36.A bag has 6 white, 8 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/19 (b) 1/3 (c) 8/19 (d) 8/11
37. 37.A bag has 6 green, 5 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/17 (b) 13/17 (c) 12/17 (d) 1/3
38. 38.A bag has 5 red, 7 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 12/19 (b) 7/19 (c) 1/3 (d) 13/19
39. 39.A bag has 8 yellow, 8 white and 8 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/24 (c) 2/3 (d) 17/24
40. 40.A bag has 9 blue, 6 white and 9 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 1/3 (c) 5/8 (d) 3/8

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