Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 260 · 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.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
2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
4. 4.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
5. 5.A bag has 6 white, 3 green and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/11 (b) 6/11 (c) 1/3 (d) 5/11
6. 6.A bag has 9 blue, 8 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 8/17 (b) 17/25 (c) 8/25 (d) 1/3
7. 7.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 1/4 (c) 5/8 (d) 3/5
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
9. 9.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
11. 11.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
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
13. 13.A bag has 3 green, 3 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/3 (b) 1/9 (c) 1/3 (d) 7/9
14. 14.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
15. 15.A bag has 3 blue, 5 white and 7 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 1/2 (c) 1/3 (d) 2/5
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
17. 17.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
18. 18.A bag has 2 red, 3 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/12 (c) 1/6 (d) 5/6
19. 19.A bag has 2 red, 2 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/6 (b) 2/3 (c) 1/3 (d) 5/6
20. 20.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
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 1/11 (c) 4/11 (d) 5/36
22. 22.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
23. 23.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
24. 24.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/5 (c) 1/3 (d) 5/6
25. 25.A bag has 2 yellow, 8 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 4/9 (b) 11/18 (c) 1/3 (d) 5/9
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
29. 29.A bag has 5 red, 9 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 15/16 (c) 7/8 (d) 1/8
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 2/11 (c) 1/11 (d) 1/12
31. 31.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
32. 32.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
33. 33.A bag has 2 green, 7 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/14 (c) 5/14 (d) 5/7
34. 34.A bag has 8 red, 5 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 7/9 (c) 13/18 (d) 5/18
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
36. 36.A bag has 6 blue, 9 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/18 (b) 1/18 (c) 2/3 (d) 1/3
37. 37.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 3/8 (c) 1/4 (d) 1/8
38. 38.A bag has 2 green, 3 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/13 (c) 2/11 (d) 11/13
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
40. 40.A bag has 2 white, 3 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6

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