Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 458 · 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) 1/2 (b) 2/3 (c) 1/3 (d) 1/4
2. 2.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/4 (d) 3/8
3. 3.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
4. 4.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 1/6 (d) 6/11
7. 7.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
8. 8.A bag has 4 red, 3 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/15 (b) 1/3 (c) 8/15 (d) 3/5
9. 9.A bag has 9 yellow, 4 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/13 (b) 13/15 (c) 2/15 (d) 1/3
10. 10.A bag has 3 red, 3 yellow and 5 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/11 (b) 8/11 (c) 3/8 (d) 1/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/11 (d) 1/18
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
13. 13.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 1/2 (d) 3/4
14. 14.A bag has 2 red, 4 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
15. 15.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
16. 16.A bag has 8 green, 9 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/17 (c) 3/20 (d) 17/20
17. 17.A bag has 9 green, 2 red and 3 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/11 (b) 1/3 (c) 11/14 (d) 3/14
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
20. 20.A bag has 4 white, 2 blue and 4 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 2/3 (c) 2/5 (d) 1/3
21. 21.A bag has 8 blue, 7 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/20 (b) 7/13 (c) 1/3 (d) 7/20
22. 22.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
23. 23.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
24. 24.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
25. 25.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
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/12 (b) 1/18 (c) 2/11 (d) 1/11
27. 27.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/4 (c) 1/3 (d) 5/6
29. 29.A bag has 9 red, 2 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 10/17 (b) 1/3 (c) 8/17 (d) 9/17
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 1/11 (c) 5/36 (d) 5/11
32. 32.A bag has 3 yellow, 3 white and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/12
33. 33.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/8 (d) 3/5
34. 34.A bag has 5 red, 4 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/14 (b) 5/9 (c) 1/3 (d) 5/14
35. 35.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 7/8 (c) 1/4 (d) 1/8
36. 36.A bag has 2 yellow, 3 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 5/7 (c) 6/7 (d) 2/7
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
38. 38.A bag has 5 white, 8 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 13/21 (b) 8/13 (c) 8/21 (d) 1/3
39. 39.A bag has 2 white, 6 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/6 (c) 11/12 (d) 5/6
40. 40.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/4 (c) 1/8 (d) 1/7

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