Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 108 · 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.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 7/8 (c) 1/4 (d) 1/8
2. 2.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
3. 3.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
4. 4.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 3/8 (c) 7/8 (d) 1/8
6. 6.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
7. 7.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
8. 8.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
9. 9.A bag has 8 blue, 3 yellow and 6 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/17 (b) 10/17 (c) 9/17 (d) 1/3
10. 10.A bag has 5 white, 8 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/3 (b) 5/19 (c) 14/19 (d) 15/19
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 1/6 (d) 5/11
14. 14.A bag has 7 red, 8 yellow and 8 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/16 (b) 1/3 (c) 16/23 (d) 7/23
15. 15.A bag has 7 white, 9 green and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/25 (b) 16/25 (c) 1/3 (d) 17/25
16. 16.A bag has 3 green, 3 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 3/13 (b) 10/13 (c) 1/3 (d) 11/13
17. 17.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
18. 18.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
20. 20.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 5/8 (c) 1/4 (d) 3/8
21. 21.A bag has 6 white, 8 red and 6 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/10 (b) 1/3 (c) 3/10 (d) 3/7
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
23. 23.A bag has 7 blue, 8 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 7/15 (c) 15/22 (d) 7/22
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 7/36 (c) 1/6 (d) 1/11
25. 25.A bag has 6 yellow, 8 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 4/11 (b) 15/22 (c) 7/11 (d) 1/3
26. 26.A bag has 8 red, 3 yellow and 5 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/16 (b) 5/16 (c) 5/11 (d) 1/3
27. 27.A bag has 3 red, 3 blue and 5 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/11 (b) 3/8 (c) 1/3 (d) 3/11
28. 28.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
29. 29.A bag has 8 green, 9 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/23 (c) 14/23 (d) 15/23
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
31. 31.A bag has 5 blue, 3 red and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/5 (b) 1/3 (c) 1/10 (d) 1/2
32. 32.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 2/3 (c) 5/6 (d) 1/3
33. 33.A bag has 2 yellow, 9 white and 9 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 11/20 (b) 9/11 (c) 9/20 (d) 1/3
34. 34.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
35. 35.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/4 (c) 1/3 (d) 1/2
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 2/3 (c) 5/6 (d) 1/4
37. 37.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
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
39. 39.A bag has 3 green, 5 yellow and 5 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/13 (b) 5/8 (c) 5/13 (d) 1/3
40. 40.A bag has 9 red, 6 blue and 9 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/3 (c) 5/8 (d) 3/8

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