Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 208 · 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 greater than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
2. 2.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
3. 3.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
4. 4.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3
6. 6.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 1/4 (c) 5/8 (d) 3/8
7. 7.A bag has 8 green, 7 blue and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 16/21 (b) 2/7 (c) 1/3 (d) 5/7
8. 8.A bag has 2 yellow, 3 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/9 (b) 1/3 (c) 5/9 (d) 4/5
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 2/3 (d) 5/6
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/12 (c) 1/18 (d) 1/11
11. 11.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
12. 12.A bag has 6 blue, 5 white and 2 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/13 (b) 1/3 (c) 8/13 (d) 9/13
13. 13.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 7/8 (c) 1/7 (d) 1/4
14. 14.A bag has 6 blue, 7 red and 3 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 13/16 (b) 3/13 (c) 3/16 (d) 1/3
15. 15.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 3/8 (c) 1/4 (d) 1/8
16. 16.A bag has 8 green, 8 red and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 8/23 (c) 8/15 (d) 15/23
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 3/11 (d) 1/11
18. 18.A bag has 5 green, 4 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 10/13 (b) 9/13 (c) 1/3 (d) 4/13
19. 19.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/3 (c) 3/4 (d) 1/4
20. 20.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
21. 21.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
22. 22.A bag has 6 red, 7 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 7/13 (c) 7/20 (d) 13/20
23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
24. 24.A bag has 4 yellow, 2 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 1/9 (c) 7/9 (d) 2/3
25. 25.A bag has 3 blue, 4 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/12 (b) 1/2 (c) 1/3 (d) 2/3
26. 26.A bag has 5 yellow, 4 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 10/13 (c) 9/13 (d) 4/13
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 1/9 (c) 1/12 (d) 3/11
28. 28.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
30. 30.A bag has 7 green, 2 blue and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 5/9 (b) 9/14 (c) 5/14 (d) 1/3
31. 31.A bag has 7 blue, 9 red and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/19 (c) 9/10 (d) 10/19
32. 32.A bag has 4 blue, 6 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/18 (b) 1/3 (c) 13/18 (d) 2/3
33. 33.A bag has 5 blue, 3 red and 8 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/11 (b) 1/3 (c) 5/16 (d) 11/16
34. 34.A bag has 5 yellow, 4 green and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/9 (b) 1/3 (c) 1/18 (d) 1/2
35. 35.A bag has 3 red, 8 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 17/19 (b) 3/19 (c) 1/3 (d) 16/19
36. 36.A bag has 3 yellow, 5 green and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/8 (b) 1/3 (c) 5/13 (d) 8/13
37. 37.A bag has 6 white, 8 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/2 (b) 1/3 (c) 7/18 (d) 2/3
38. 38.A bag has 4 yellow, 3 blue and 3 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/3 (b) 1/3 (c) 2/5 (d) 3/5
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11

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