Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 748 · 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 an even number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
4. 4.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
5. 5.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/11 (c) 1/18 (d) 2/11
7. 7.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
8. 8.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
12. 12.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
13. 13.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
14. 14.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
15. 15.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
16. 16.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 7/8 (c) 1/8 (d) 1/7
17. 17.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
18. 18.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 1/4 (c) 3/4 (d) 3/8
19. 19.A bag has 9 blue, 6 green and 7 red 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) 17/22
20. 20.A bag has 3 red, 2 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 10/13 (b) 11/13 (c) 1/3 (d) 3/13
21. 21.A bag has 5 green, 8 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/15 (b) 1/3 (c) 2/13 (d) 2/15
22. 22.A bag has 4 green, 2 red and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/13 (b) 11/13 (c) 1/3 (d) 12/13
23. 23.A bag has 6 red, 2 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/13 (b) 7/13 (c) 1/3 (d) 6/7
24. 24.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 1/4 (d) 2/3
25. 25.A bag has 8 blue, 9 green and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/10 (c) 17/20 (d) 3/20
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6
27. 27.A bag has 7 yellow, 5 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/19 (c) 12/19 (d) 7/19
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/11 (d) 1/12
29. 29.A bag has 5 white, 7 green and 5 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 10/17 (b) 1/3 (c) 7/17 (d) 11/17
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
31. 31.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
32. 32.A bag has 5 yellow, 8 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 8/17 (b) 1/3 (c) 10/17 (d) 9/17
33. 33.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
34. 34.A bag has 3 green, 5 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 3/11 (c) 8/11 (d) 3/8
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
36. 36.A bag has 9 white, 5 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 9/16 (b) 7/9 (c) 1/3 (d) 7/16
37. 37.A bag has 7 green, 2 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 9/13 (b) 4/13 (c) 10/13 (d) 1/3
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
39. 39.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
40. 40.A bag has 9 red, 3 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/19 (b) 10/19 (c) 1/3 (d) 9/19

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