Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 217 · 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 prime number? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
2. 2.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
3. 3.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
4. 4.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/8 (c) 5/8 (d) 3/5
5. 5.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
7. 7.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/2
8. 8.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
9. 9.A bag has 3 red, 5 yellow and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 8/13 (b) 5/8 (c) 1/3 (d) 5/13
10. 10.A bag has 8 green, 2 white and 6 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/8 (b) 1/3 (c) 1/7 (d) 1/8
11. 11.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
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) 1/4 (d) 2/3
13. 13.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
14. 14.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 7/8 (c) 1/4 (d) 3/8
15. 15.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
16. 16.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 4/11 (c) 5/36 (d) 1/9
18. 18.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/18 (c) 1/11 (d) 1/12
19. 19.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/18 (b) 1/12 (c) 2/11 (d) 1/11
20. 20.A bag has 4 blue, 7 yellow and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 11/20 (b) 1/3 (c) 9/20 (d) 9/11
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 7/36 (b) 6/11 (c) 1/11 (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) 1/4 (c) 3/4 (d) 3/8
23. 23.A bag has 9 blue, 8 white and 6 green balls. One ball is taken out without looking. What is the probability that it is not white? (a) 8/23 (b) 15/23 (c) 16/23 (d) 1/3
24. 24.A bag has 7 red, 7 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/9 (b) 9/16 (c) 1/3 (d) 7/16
25. 25.A bag has 3 red, 8 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 8/15 (b) 7/15 (c) 3/5 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/18 (c) 1/36 (d) 1/11
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/12 (d) 1/36
28. 28.A bag has 3 blue, 3 white and 6 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/4 (b) 1/3 (c) 1/4 (d) 1/12
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
30. 30.A bag has 6 red, 7 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 13/18 (c) 5/18 (d) 1/3
31. 31.A bag has 8 yellow, 8 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/24 (b) 2/3 (c) 17/24 (d) 1/3
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
33. 33.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
34. 34.A bag has 5 yellow, 2 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 13/14 (b) 1/3 (c) 6/7 (d) 1/7
35. 35.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 2/3 (c) 1/4 (d) 1/2
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/9 (d) 1/12
37. 37.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/6 (d) 1/11
38. 38.A bag has 9 yellow, 5 white and 8 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 9/22 (b) 1/3 (c) 13/22 (d) 7/11
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 3/11 (b) 1/12 (c) 1/11 (d) 1/9
40. 40.A bag has 9 red, 9 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 9/22 (c) 13/22 (d) 7/11

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