Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 44 · 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) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
2. 2.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
3. 3.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/8 (c) 3/4 (d) 1/8
4. 4.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 1/3 (d) 3/4
5. 5.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/4 (b) 2/3 (c) 1/3 (d) 5/6
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
7. 7.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/3 (b) 1/4 (c) 3/4 (d) 1/2
8. 8.A bag has 5 yellow, 4 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 9/14 (b) 5/9 (c) 1/3 (d) 5/14
9. 9.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/8 (b) 5/8 (c) 3/5 (d) 1/4
10. 10.A bag has 7 blue, 4 green and 2 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/13 (b) 7/13 (c) 1/3 (d) 8/13
11. 11.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
12. 12.A bag has 2 blue, 2 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 8/9 (b) 7/9 (c) 2/9 (d) 1/3
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 3/11 (b) 1/12 (c) 1/9 (d) 1/11
14. 14.A bag has 6 red, 5 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 1/3 (c) 2/5 (d) 2/3
15. 15.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
16. 16.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 3/8 (c) 7/8 (d) 1/4
17. 17.A bag has 4 green, 3 blue and 2 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/2 (b) 2/3 (c) 1/3 (d) 4/9
18. 18.A bag has 3 white, 8 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/11 (b) 11/14 (c) 1/3 (d) 3/14
19. 19.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
20. 20.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
21. 21.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 1/3 (c) 1/2 (d) 2/3
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
23. 23.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
24. 24.A bag has 7 red, 8 blue and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/9 (b) 11/18 (c) 4/9 (d) 1/3
25. 25.A bag has 7 yellow, 2 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/14 (c) 5/9 (d) 9/14
26. 26.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
27. 27.A bag has 2 red, 2 yellow and 8 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/18 (c) 2/11 (d) 1/12
29. 29.A bag has 9 green, 5 white and 8 red balls. One ball is taken out without looking. What is the probability that it is white? (a) 17/22 (b) 5/17 (c) 1/3 (d) 5/22
30. 30.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
31. 31.A bag has 3 blue, 4 white and 5 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 5/12 (b) 5/7 (c) 1/3 (d) 7/12
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
33. 33.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 1/9 (d) 4/11
34. 34.A bag has 4 red, 6 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/4 (c) 5/16 (d) 3/4
35. 35.A bag has 4 red, 2 white and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/11 (b) 1/12 (c) 1/36 (d) 1/18
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.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/6 (c) 5/11 (d) 1/11
39. 39.A bag has 9 yellow, 7 red and 7 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/23 (b) 7/16 (c) 1/3 (d) 16/23
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 6/11 (c) 7/36 (d) 1/11

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