Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 206 · 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 3? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/11 (d) 1/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/6 (b) 5/36 (c) 5/11 (d) 1/11
4. 4.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 1/3 (c) 1/6 (d) 5/6
5. 5.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
6. 6.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
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
8. 8.A bag has 4 red, 4 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 5/12 (c) 1/2 (d) 2/3
9. 9.A bag has 4 yellow, 8 green and 2 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/14 (b) 1/3 (c) 6/7 (d) 1/7
10. 10.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
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
12. 12.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
13. 13.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
14. 14.A bag has 9 yellow, 7 green and 8 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 3/8 (c) 2/3 (d) 1/3
15. 15.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
16. 16.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
17. 17.A bag has 5 blue, 8 white and 8 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 8/13 (b) 8/21 (c) 1/3 (d) 13/21
18. 18.A bag has 2 green, 3 white and 5 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/7 (b) 1/3 (c) 3/10 (d) 7/10
19. 19.A bag has 6 blue, 6 white and 6 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/2 (b) 2/3 (c) 7/18 (d) 1/3
20. 20.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
21. 21.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
25. 25.A bag has 4 green, 2 red and 6 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/12 (c) 1/12 (d) 1/2
26. 26.A bag has 9 red, 4 green and 3 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/4 (c) 3/4 (d) 13/16
27. 27.A bag has 8 red, 4 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/5 (b) 1/3 (c) 4/5 (d) 1/4
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/18 (d) 1/36
29. 29.A bag has 3 blue, 4 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 4/5 (c) 7/10 (d) 3/10
30. 30.A bag has 8 blue, 5 green and 6 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 14/19 (c) 5/19 (d) 15/19
31. 31.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
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
33. 33.A bag has 2 red, 3 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 11/14 (c) 3/14 (d) 3/11
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
35. 35.A bag has 6 blue, 7 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 7/10 (c) 10/17 (d) 7/17
36. 36.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/4
37. 37.A bag has 8 blue, 3 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 3/4 (b) 4/7 (c) 1/3 (d) 3/7
38. 38.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
40. 40.A bag has 5 green, 5 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/3 (b) 1/3 (c) 1/2 (d) 2/5

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