Probability Worksheet for Class 8 Maths Olympiad

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

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