Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 53 · 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 1? (a) 1/6 (b) 1/5 (c) 5/6 (d) 1/3
2. 2.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/2 (c) 1/4 (d) 1/3
3. 3.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/2 (c) 1/4 (d) 1/3
4. 4.A bag has 3 yellow, 4 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 7/9 (c) 1/9 (d) 2/3
5. 5.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
6. 6.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
7. 7.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 6/11 (d) 7/36
9. 9.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
10. 10.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/6 (c) 2/3 (d) 1/2
12. 12.A bag has 2 green, 3 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/4 (b) 1/3 (c) 4/5 (d) 1/5
13. 13.A bag has 5 red, 5 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 9/14 (b) 1/3 (c) 5/14 (d) 5/7
14. 14.A bag has 4 red, 6 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/3 (b) 3/4 (c) 1/3 (d) 1/12
15. 15.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 1/4 (d) 7/8
16. 16.A bag has 3 red, 5 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 7/8 (b) 1/3 (c) 3/16 (d) 13/16
17. 17.A bag has 3 green, 3 red and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/5 (b) 5/8 (c) 1/3 (d) 3/8
18. 18.A bag has 2 red, 8 white and 8 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/9 (b) 1/3 (c) 8/9 (d) 1/8
19. 19.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
20. 20.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
21. 21.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/9 (c) 4/11 (d) 1/11
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 1/18 (c) 1/12 (d) 2/11
23. 23.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 4/11 (d) 1/9
24. 24.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
25. 25.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
26. 26.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 1/3 (c) 1/6 (d) 2/3
27. 27.A bag has 4 blue, 6 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 6/11 (b) 6/17 (c) 1/3 (d) 11/17
28. 28.A bag has 4 red, 7 green and 9 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/3 (c) 1/4 (d) 4/5
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
30. 30.A bag has 7 yellow, 8 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/5 (b) 5/7 (c) 1/3 (d) 2/7
31. 31.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/36 (b) 1/18 (c) 1/12 (d) 1/11
32. 32.A bag has 5 green, 9 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 7/11 (c) 9/22 (d) 13/22
33. 33.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 5/6 (b) 1/6 (c) 1/3 (d) 1/5
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/11 (c) 1/18 (d) 1/12
35. 35.A bag has 7 green, 4 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/19 (b) 1/3 (c) 12/19 (d) 7/12
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
37. 37.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
38. 38.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
39. 39.A bag has 7 blue, 6 white and 4 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 14/17 (b) 1/3 (c) 13/17 (d) 4/17
40. 40.A bag has 6 yellow, 3 red and 6 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 3/5 (c) 2/3 (d) 2/5

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