Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 844 · 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 6? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/12 (c) 1/9 (d) 3/11
3. 3.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
4. 4.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
5. 5.A bag has 8 yellow, 4 white and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/4 (c) 4/5 (d) 1/3
6. 6.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
7. 7.A bag has 4 white, 5 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 2/9 (c) 7/9 (d) 5/6
8. 8.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
9. 9.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
10. 10.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 3/5 (d) 1/4
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
12. 12.A bag has 6 blue, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/13 (b) 9/13 (c) 1/3 (d) 8/13
13. 13.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 1/4 (d) 3/8
14. 14.A bag has 7 red, 6 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 13/19 (b) 12/19 (c) 7/19 (d) 1/3
15. 15.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
16. 16.A bag has 4 green, 2 yellow and 4 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
17. 17.A bag has 2 yellow, 5 red and 4 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 7/11 (c) 4/7 (d) 4/11
18. 18.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) 1/3 (d) 1/2
19. 19.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 5/6 (c) 2/3 (d) 1/3
20. 20.A bag has 2 yellow, 5 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 2/3 (b) 1/15 (c) 1/3 (d) 11/15
21. 21.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
22. 22.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
23. 23.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
24. 24.A bag has 2 yellow, 4 white and 9 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/13 (b) 2/15 (c) 1/3 (d) 13/15
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 5/36 (c) 1/11 (d) 1/6
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 1/11 (d) 2/11
27. 27.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
28. 28.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) 3/8 (d) 3/4
29. 29.A bag has 6 blue, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/14 (b) 14/19 (c) 1/3 (d) 5/19
30. 30.A bag has 6 white, 9 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/21 (b) 4/7 (c) 3/7 (d) 1/3
31. 31.A bag has 8 yellow, 3 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 15/17 (c) 14/17 (d) 3/17
32. 32.A bag has 6 red, 8 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 15/23 (c) 9/23 (d) 14/23
33. 33.A bag has 7 green, 9 yellow and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/16 (c) 9/25 (d) 16/25
34. 34.A bag has 8 yellow, 6 red and 4 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/9 (b) 5/6 (c) 7/9 (d) 1/3
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
36. 36.A bag has 9 green, 3 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/16 (b) 1/3 (c) 3/13 (d) 13/16
37. 37.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/6 (b) 1/2 (c) 2/3 (d) 1/3
38. 38.A bag has 9 green, 6 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 14/23 (b) 9/23 (c) 1/3 (d) 15/23
39. 39.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
40. 40.A bag has 7 red, 2 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/9 (b) 9/11 (c) 2/11 (d) 1/3

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