Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 312 · 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 coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
3. 3.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
4. 4.A bag has 3 white, 6 green and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/16 (b) 9/16 (c) 1/3 (d) 7/9
5. 5.A bag has 6 green, 4 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/10 (b) 9/19 (c) 1/3 (d) 10/19
6. 6.A bag has 8 green, 9 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/13 (b) 1/3 (c) 9/22 (d) 13/22
7. 7.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
10. 10.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
11. 11.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
12. 12.A bag has 8 blue, 3 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 8/11 (c) 11/19 (d) 8/19
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
14. 14.A bag has 8 blue, 5 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 13/18 (c) 5/18 (d) 1/3
15. 15.A bag has 2 blue, 6 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/7 (b) 1/3 (c) 6/13 (d) 7/13
16. 16.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) 1/4 (d) 3/8
17. 17.A bag has 6 red, 6 green and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 12/19 (c) 7/19 (d) 13/19
18. 18.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 3/11 (d) 1/9
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
21. 21.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/4
22. 22.A bag has 4 red, 3 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/14 (b) 1/2 (c) 1/3 (d) 4/7
23. 23.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
24. 24.A bag has 9 blue, 6 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/20 (b) 1/3 (c) 9/11 (d) 9/20
25. 25.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
27. 27.A bag has 9 blue, 9 green and 5 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 15/23 (b) 1/3 (c) 14/23 (d) 9/23
28. 28.A bag has 4 white, 2 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 2/5 (c) 1/3 (d) 2/3
29. 29.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
30. 30.A bag has 4 yellow, 7 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/9 (b) 1/3 (c) 5/6 (d) 7/9
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
32. 32.A bag has 7 blue, 3 white and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/17 (c) 7/10 (d) 10/17
33. 33.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
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
36. 36.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) 1/3 (d) 1/2
37. 37.A bag has 8 blue, 3 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/11 (b) 11/16 (c) 5/16 (d) 1/3
38. 38.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
39. 39.A bag has 4 green, 8 red and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/18 (b) 1/18 (c) 1/3 (d) 2/3
40. 40.A bag has 3 white, 8 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/13 (b) 13/16 (c) 1/3 (d) 3/16

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