Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 226 · 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 4? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
2. 2.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
3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
4. 4.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
5. 5.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
6. 6.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
7. 7.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
8. 8.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
9. 9.A bag has 7 green, 3 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/2 (c) 4/7 (d) 1/14
10. 10.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
11. 11.A bag has 9 white, 5 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/16 (b) 7/16 (c) 1/3 (d) 7/9
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/9 (c) 3/11 (d) 1/11
13. 13.A bag has 6 red, 2 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
14. 14.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/2
15. 15.A bag has 9 red, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/3 (c) 3/7 (d) 4/7
16. 16.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
17. 17.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 1/11 (c) 6/11 (d) 1/6
19. 19.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
20. 20.A bag has 8 green, 4 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/9 (b) 1/3 (c) 11/18 (d) 5/9
21. 21.A bag has 5 blue, 3 white and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 8/11 (c) 3/11 (d) 9/11
22. 22.A bag has 4 blue, 4 green and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 7/15 (c) 3/5 (d) 8/15
23. 23.A bag has 7 white, 7 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/18 (b) 2/3 (c) 11/18 (d) 1/3
24. 24.A bag has 4 green, 4 red and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 2/7 (c) 2/5 (d) 5/7
25. 25.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
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/11 (d) 1/36
27. 27.A bag has 2 red, 9 green and 6 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/17 (b) 1/3 (c) 8/17 (d) 8/9
28. 28.A bag has 6 red, 3 white and 5 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
29. 29.A bag has 8 green, 5 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/13 (b) 1/3 (c) 13/18 (d) 5/18
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
32. 32.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/5 (d) 1/3
33. 33.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/8 (d) 3/5
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
35. 35.A bag has 3 green, 4 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/7 (b) 7/9 (c) 2/9 (d) 1/3
36. 36.A bag has 5 green, 6 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/5 (b) 3/5 (c) 2/3 (d) 1/3
37. 37.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
38. 38.A bag has 2 blue, 3 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/14 (b) 1/3 (c) 5/9 (d) 5/14
39. 39.A bag has 7 yellow, 6 red and 2 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/15 (b) 2/13 (c) 1/3 (d) 13/15
40. 40.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/4 (d) 3/8

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