Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 456 · 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 at least one head? (a) 1/2 (b) 3/4 (c) 1/4 (d) 1/3
2. 2.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/6 (c) 1/5 (d) 1/3
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/6 (c) 5/36 (d) 1/11
4. 4.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 1/6 (d) 7/36
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
7. 7.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 3/8 (d) 1/8
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/12 (b) 1/11 (c) 1/9 (d) 3/11
9. 9.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
10. 10.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
11. 11.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
12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 5/8 (d) 3/8
13. 13.A bag has 3 blue, 4 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/8 (b) 9/16 (c) 7/16 (d) 1/3
14. 14.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
16. 16.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
17. 17.A bag has 8 yellow, 9 green and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/21 (c) 17/21 (d) 4/17
18. 18.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
19. 19.A bag has 5 green, 8 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 11/16 (b) 5/11 (c) 5/16 (d) 1/3
20. 20.A bag has 3 red, 6 white and 6 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/5 (b) 1/3 (c) 2/3 (d) 3/5
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
22. 22.A bag has 9 white, 8 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/11 (b) 13/22 (c) 9/22 (d) 1/3
23. 23.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
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
25. 25.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
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
28. 28.A bag has 7 blue, 7 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/10 (c) 13/20 (d) 7/20
29. 29.A bag has 6 white, 2 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/3 (b) 1/3 (c) 2/5 (d) 3/5
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 1/18 (d) 2/11
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
33. 33.A bag has 4 red, 9 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 14/17 (b) 4/17 (c) 1/3 (d) 13/17
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/36 (c) 1/12 (d) 1/18
35. 35.A bag has 4 blue, 7 green and 9 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/20 (b) 7/20 (c) 7/10 (d) 1/3
36. 36.A bag has 2 green, 8 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/7 (c) 2/7 (d) 11/14
37. 37.A bag has 4 green, 5 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 2/7 (c) 2/5 (d) 1/3
38. 38.A bag has 4 white, 9 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/16 (b) 7/8 (c) 13/16 (d) 1/3
39. 39.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) 1/8 (d) 1/4
40. 40.A bag has 3 blue, 7 white and 3 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 10/13 (c) 3/10 (d) 3/13

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