Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 45 · 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 odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
2. 2.A bag has 3 red, 2 white and 9 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 5/14 (c) 9/14 (d) 1/3
3. 3.A bag has 6 yellow, 8 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/11 (b) 1/3 (c) 7/11 (d) 4/7
4. 4.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
6. 6.A bag has 8 blue, 5 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 1/2 (c) 1/16 (d) 9/16
7. 7.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
8. 8.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
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
11. 11.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
12. 12.A bag has 7 white, 5 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 4/7 (b) 1/2 (c) 1/14 (d) 1/3
13. 13.A bag has 3 white, 7 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 10/13 (b) 3/13 (c) 3/10 (d) 1/3
14. 14.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
15. 15.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 1/11 (c) 2/11 (d) 1/18
17. 17.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
18. 18.A bag has 4 white, 4 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 2/5 (b) 1/3 (c) 7/10 (d) 3/5
19. 19.A bag has 3 red, 2 white and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/9 (b) 5/14 (c) 1/3 (d) 9/14
20. 20.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
21. 21.A bag has 8 green, 2 yellow and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/10 (b) 10/17 (c) 1/3 (d) 7/17
22. 22.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 3/4
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
24. 24.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/12 (d) 1/11
26. 26.A bag has 7 blue, 6 white and 7 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/13 (b) 1/3 (c) 13/20 (d) 7/20
27. 27.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 1/4 (d) 3/8
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
29. 29.A bag has 2 red, 2 white and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/9 (b) 7/9 (c) 1/3 (d) 2/9
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
31. 31.A bag has 7 yellow, 3 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 10/13 (b) 3/10 (c) 1/3 (d) 3/13
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/9 (b) 4/11 (c) 5/36 (d) 1/11
33. 33.A bag has 5 red, 8 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 13/18 (b) 1/3 (c) 5/13 (d) 5/18
34. 34.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 2/3 (b) 1/4 (c) 1/3 (d) 5/6
35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 3/5 (d) 5/8
36. 36.A bag has 5 blue, 2 green and 4 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 6/11 (b) 5/11 (c) 1/3 (d) 7/11
37. 37.A bag has 6 blue, 6 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 13/18 (b) 2/3 (c) 1/3 (d) 1/18
38. 38.A bag has 8 yellow, 7 green and 8 red balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/16 (b) 1/3 (c) 7/23 (d) 16/23
39. 39.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/3 (c) 1/2 (d) 3/4
40. 40.A bag has 3 red, 7 blue and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 10/17 (c) 7/17 (d) 11/17

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