Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 134 · 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 bag has 5 blue, 8 green and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 9/22 (c) 13/22 (d) 7/11
2. 2.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/4 (c) 3/4 (d) 1/8
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
4. 4.A fair dice is rolled once. What is the probability of getting a multiple of 3? (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 a number greater than 2? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
6. 6.A bag has 8 green, 9 blue and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/24 (b) 17/24 (c) 1/3 (d) 7/17
7. 7.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/3 (c) 1/6 (d) 1/5
8. 8.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 1/4 (d) 5/8
9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/4 (c) 1/2 (d) 2/3
10. 10.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 5/6 (c) 1/3 (d) 1/5
11. 11.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/8 (c) 1/7 (d) 7/8
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/11 (c) 1/6 (d) 7/36
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/4 (b) 1/3 (c) 2/3 (d) 5/6
17. 17.A bag has 4 white, 6 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 8/13 (c) 7/13 (d) 6/13
18. 18.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
19. 19.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
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/12 (d) 1/11
21. 21.A bag has 5 white, 6 green and 7 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/18 (b) 1/18 (c) 2/3 (d) 1/3
22. 22.A bag has 4 green, 2 red and 2 white balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 3/4 (c) 1/4 (d) 7/8
23. 23.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
24. 24.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/4 (b) 7/8 (c) 1/8 (d) 3/8
25. 25.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/3 (c) 1/2 (d) 1/4
26. 26.Two coins are tossed together. What is the probability of getting exactly one head? (a) 2/3 (b) 1/4 (c) 1/3 (d) 1/2
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 1/6 (d) 5/11
28. 28.A bag has 6 red, 7 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/13 (b) 13/20 (c) 7/20 (d) 1/3
29. 29.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
30. 30.A bag has 2 white, 2 green and 7 red balls. One ball is taken out without looking. What is the probability that it is not white? (a) 2/11 (b) 9/11 (c) 1/3 (d) 10/11
31. 31.A bag has 9 yellow, 4 red and 3 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/16 (b) 7/8 (c) 3/16 (d) 1/3
32. 32.A bag has 6 green, 2 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 2/9 (b) 2/11 (c) 9/11 (d) 1/3
33. 33.A bag has 3 yellow, 3 white and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/4 (b) 1/3 (c) 3/4 (d) 1/12
34. 34.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
35. 35.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
36. 36.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
37. 37.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/3 (b) 2/3 (c) 1/2 (d) 1/6
38. 38.A bag has 2 red, 3 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/4 (c) 3/4 (d) 3/8
39. 39.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
40. 40.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6

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