Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 196 · 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 number less than 2? (a) 5/6 (b) 1/3 (c) 1/5 (d) 1/6
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/36 (c) 1/18 (d) 1/12
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.A bag has 4 red, 9 white and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/5 (b) 1/3 (c) 2/3 (d) 2/5
5. 5.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/4
6. 6.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 2/3 (d) 1/2
7. 7.A bag has 7 blue, 8 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/5 (b) 1/3 (c) 5/8 (d) 3/8
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/11 (c) 1/12 (d) 1/18
9. 9.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/8 (c) 3/4 (d) 1/4
10. 10.A bag has 5 red, 6 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 11/15 (b) 1/3 (c) 1/15 (d) 2/3
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
12. 12.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 5/6 (c) 2/3 (d) 1/4
13. 13.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
14. 14.A bag has 6 white, 3 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 6/11 (b) 5/6 (c) 5/11 (d) 1/3
15. 15.A bag has 6 red, 6 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 1/3 (c) 1/2 (d) 7/18
16. 16.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/3 (c) 1/4 (d) 1/2
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 5/36 (b) 4/11 (c) 1/9 (d) 1/11
18. 18.A bag has 2 white, 9 green and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/15 (c) 2/17 (d) 15/17
19. 19.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
20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/4 (c) 1/3 (d) 1/2
21. 21.A bag has 6 yellow, 5 green and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/11 (b) 5/16 (c) 11/16 (d) 1/3
22. 22.A bag has 2 red, 3 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/3 (b) 1/3 (c) 7/9 (d) 1/9
23. 23.A bag has 6 white, 9 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 19/24 (b) 1/3 (c) 3/4 (d) 1/4
24. 24.A bag has 6 red, 8 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/8 (c) 11/16 (d) 5/8
25. 25.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 1/8 (d) 7/8
26. 26.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
27. 27.A bag has 7 green, 7 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/20 (c) 13/20 (d) 7/10
28. 28.A bag has 8 green, 3 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 4/15 (b) 11/15 (c) 1/3 (d) 4/5
29. 29.A bag has 5 green, 3 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 5/8 (c) 8/13 (d) 1/3
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
31. 31.A bag has 4 yellow, 3 white and 2 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/3 (b) 4/9 (c) 1/3 (d) 1/2
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
33. 33.A bag has 2 white, 9 red and 2 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 12/13 (b) 1/3 (c) 11/13 (d) 2/13
34. 34.A bag has 6 blue, 5 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 6/19 (c) 14/19 (d) 13/19
35. 35.A bag has 3 white, 2 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/9 (b) 1/3 (c) 1/9 (d) 2/3
36. 36.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
37. 37.A bag has 3 green, 3 blue and 2 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/8 (b) 1/3 (c) 3/8 (d) 3/4
38. 38.A bag has 8 red, 4 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 12/17 (c) 13/17 (d) 5/17
39. 39.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
40. 40.A bag has 2 green, 2 white and 4 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 3/8 (b) 1/3 (c) 3/4 (d) 1/4

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