Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 558 · 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 a factor of 6? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
3. 3.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
4. 4.A bag has 5 white, 3 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 12/17 (b) 13/17 (c) 5/17 (d) 1/3
5. 5.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
6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 5/8 (d) 3/5
7. 7.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
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 5/36 (d) 4/11
9. 9.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
10. 10.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
11. 11.A bag has 4 yellow, 9 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 9/17 (b) 8/9 (c) 1/3 (d) 8/17
12. 12.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 1/8 (c) 7/8 (d) 3/8
13. 13.A bag has 2 red, 3 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 5/9 (b) 1/3 (c) 2/3 (d) 4/9
14. 14.A bag has 2 green, 4 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/8 (c) 5/8 (d) 1/2
15. 15.A bag has 7 yellow, 5 white and 2 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 1/2 (c) 1/14 (d) 4/7
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 7/36 (c) 1/11 (d) 6/11
17. 17.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
18. 18.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
19. 19.A bag has 3 green, 2 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/7 (b) 1/3 (c) 3/10 (d) 7/10
20. 20.A bag has 6 blue, 6 white and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/12 (b) 7/19 (c) 12/19 (d) 1/3
21. 21.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
22. 22.A bag has 6 red, 9 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 9/13 (c) 13/22 (d) 9/22
23. 23.A bag has 6 white, 3 yellow and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/4 (b) 1/12 (c) 1/4 (d) 1/3
24. 24.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
25. 25.A bag has 5 red, 5 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/5 (b) 2/3 (c) 1/3 (d) 1/2
26. 26.A bag has 3 yellow, 8 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/14 (b) 3/11 (c) 1/3 (d) 3/14
27. 27.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
28. 28.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
29. 29.A bag has 5 green, 9 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 11/20 (c) 9/20 (d) 3/5
30. 30.A bag has 7 red, 2 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
31. 31.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
32. 32.A bag has 5 red, 8 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/20 (b) 7/10 (c) 1/3 (d) 13/20
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/3 (b) 1/5 (c) 1/6 (d) 5/6
34. 34.A bag has 4 green, 4 yellow and 3 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/11 (b) 4/11 (c) 1/3 (d) 4/7
35. 35.A bag has 3 white, 7 green and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 9/10 (b) 10/19 (c) 9/19 (d) 1/3
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/11 (c) 1/9 (d) 1/12
37. 37.A bag has 3 blue, 2 white and 7 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/4 (b) 3/4 (c) 1/12 (d) 1/3
38. 38.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/11 (d) 1/36
40. 40.A bag has 4 white, 9 yellow and 2 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/13 (b) 13/15 (c) 1/3 (d) 2/15

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