Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 632 · 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 10? (a) 1/11 (b) 1/12 (c) 3/11 (d) 1/9
2. 2.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 5/8 (d) 3/8
3. 3.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
4. 4.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
5. 5.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/9 (c) 1/12 (d) 1/11
6. 6.A bag has 2 white, 9 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 9/17 (b) 8/17 (c) 1/3 (d) 10/17
7. 7.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 7/36 (c) 6/11 (d) 1/6
9. 9.A bag has 4 green, 4 blue and 9 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/17 (b) 13/17 (c) 4/13 (d) 1/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 1/9 (c) 4/11 (d) 5/36
12. 12.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
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
14. 14.A bag has 8 red, 9 green and 2 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/19 (b) 1/3 (c) 9/19 (d) 9/10
15. 15.A bag has 2 green, 7 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/7 (b) 1/3 (c) 13/14 (d) 6/7
16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
17. 17.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
18. 18.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
19. 19.A bag has 4 yellow, 7 red and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/18 (b) 1/3 (c) 11/18 (d) 2/3
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
21. 21.A bag has 7 green, 2 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/12 (c) 5/6 (d) 1/6
22. 22.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
23. 23.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
24. 24.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
25. 25.A bag has 7 red, 6 green and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 13/19 (b) 6/19 (c) 1/3 (d) 6/13
26. 26.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
27. 27.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/4
28. 28.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
29. 29.A bag has 2 white, 5 green and 8 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/8 (b) 7/15 (c) 8/15 (d) 1/3
30. 30.A bag has 6 red, 9 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 1/18 (c) 1/2 (d) 5/9
31. 31.A bag has 6 white, 6 red and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 7/12 (c) 7/19 (d) 12/19
32. 32.A bag has 5 red, 4 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 8/13 (b) 5/8 (c) 5/13 (d) 1/3
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/11 (d) 5/36
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
35. 35.A bag has 4 green, 2 white and 3 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 1/3 (c) 1/9 (d) 7/9
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/18 (d) 1/11
37. 37.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
38. 38.A bag has 6 yellow, 7 blue and 2 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 3/5 (c) 1/3 (d) 2/3
39. 39.A bag has 7 white, 7 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 15/23 (b) 1/3 (c) 9/23 (d) 14/23
40. 40.A bag has 6 red, 2 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/8 (b) 1/7 (c) 1/8 (d) 1/3

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