Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 88 · 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 8? (a) 5/11 (b) 5/36 (c) 1/11 (d) 1/6
2. 2.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
3. 3.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
4. 4.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
5. 5.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 1/8 (d) 3/4
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
8. 8.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
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 1/3 (c) 5/6 (d) 1/4
10. 10.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 5/6 (c) 1/3 (d) 2/3
11. 11.A bag has 5 red, 8 blue and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 4/9 (c) 5/9 (d) 11/18
12. 12.A bag has 4 red, 4 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/11 (c) 4/15 (d) 11/15
13. 13.A bag has 6 yellow, 9 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 14/23 (b) 1/3 (c) 9/23 (d) 15/23
14. 14.A bag has 3 green, 5 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/5 (c) 1/4 (d) 1/3
15. 15.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
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
17. 17.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
18. 18.A bag has 3 green, 8 red and 9 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 2/3 (b) 3/5 (c) 1/3 (d) 2/5
19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
20. 20.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 3/8 (d) 7/8
21. 21.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
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
23. 23.A bag has 6 blue, 3 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/14 (b) 1/3 (c) 3/14 (d) 6/7
24. 24.A bag has 8 red, 8 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/11 (b) 1/3 (c) 15/22 (d) 7/11
25. 25.A bag has 8 white, 5 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/19 (b) 8/19 (c) 1/3 (d) 8/11
26. 26.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
27. 27.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
28. 28.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
29. 29.A bag has 5 white, 6 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/19 (b) 1/3 (c) 12/19 (d) 11/19
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
31. 31.A bag has 7 blue, 4 red and 4 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 4/11 (b) 11/15 (c) 1/3 (d) 4/15
32. 32.A bag has 9 yellow, 6 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 8/17 (c) 10/17 (d) 9/17
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/36 (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.A bag has 4 blue, 4 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 2/3 (c) 1/3 (d) 1/12
36. 36.A bag has 6 white, 8 red and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/7 (b) 1/3 (c) 2/9 (d) 7/9
37. 37.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
38. 38.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 1/8 (d) 7/8
39. 39.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
40. 40.A bag has 2 red, 2 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 2/7 (c) 7/9 (d) 2/9

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