Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 861 · 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 dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
4. 4.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/4 (c) 1/8 (d) 3/8
5. 5.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 1/8 (d) 3/4
6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
7. 7.A bag has 8 red, 8 green and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 15/23 (b) 1/3 (c) 8/23 (d) 8/15
8. 8.A bag has 5 yellow, 8 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 17/22 (b) 5/17 (c) 1/3 (d) 5/22
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
11. 11.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
12. 12.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
13. 13.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
14. 14.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
16. 16.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
18. 18.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
19. 19.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
20. 20.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/3 (c) 1/4 (d) 5/6
21. 21.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
22. 22.A bag has 7 blue, 4 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 13/16 (c) 3/4 (d) 1/4
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
24. 24.A bag has 3 green, 4 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
25. 25.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 5/8 (d) 3/5
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 red, 2 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/14 (b) 1/3 (c) 4/7 (d) 3/7
28. 28.A bag has 2 yellow, 9 red and 3 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/14 (b) 5/7 (c) 1/3 (d) 9/14
29. 29.A bag has 9 red, 2 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/10 (b) 1/3 (c) 9/10 (d) 19/20
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
31. 31.A bag has 2 green, 7 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/15 (b) 13/15 (c) 1/3 (d) 2/13
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
33. 33.A bag has 5 white, 9 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/17 (b) 9/17 (c) 1/3 (d) 10/17
34. 34.A bag has 8 white, 3 red and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/9 (c) 4/9 (d) 11/18
35. 35.A bag has 6 yellow, 4 green and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/6 (b) 5/6 (c) 11/12 (d) 1/3
36. 36.A bag has 2 blue, 4 red and 6 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/12 (b) 1/3 (c) 7/12 (d) 1/2
37. 37.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
38. 38.A bag has 3 green, 8 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 8/9 (b) 1/6 (c) 1/3 (d) 5/6
39. 39.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
40. 40.A bag has 5 green, 7 yellow and 4 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 11/16 (c) 5/16 (d) 3/4

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