Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 560 · 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 2? (a) 5/6 (b) 1/3 (c) 1/4 (d) 2/3
2. 2.A bag has 4 green, 2 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/4 (b) 3/8 (c) 1/3 (d) 1/4
3. 3.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
4. 4.A bag has 3 red, 6 blue and 2 green balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/11 (b) 1/3 (c) 7/11 (d) 5/11
5. 5.A bag has 7 white, 6 yellow and 7 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/4 (b) 1/3 (c) 3/10 (d) 7/10
6. 6.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
7. 7.A bag has 4 blue, 4 red and 2 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/5 (b) 7/10 (c) 1/3 (d) 3/5
8. 8.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
9. 9.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
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 5/36 (c) 1/11 (d) 4/11
11. 11.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
12. 12.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/12 (c) 1/18 (d) 1/11
13. 13.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
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 1/6 (d) 5/36
15. 15.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 1/11 (b) 1/12 (c) 2/11 (d) 1/18
16. 16.A bag has 4 yellow, 6 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/7 (b) 2/7 (c) 2/5 (d) 1/3
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/11 (b) 1/11 (c) 1/6 (d) 5/36
18. 18.A bag has 3 red, 6 white and 7 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/16 (b) 7/9 (c) 9/16 (d) 1/3
19. 19.A bag has 2 white, 5 blue and 9 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 7/9 (c) 7/16 (d) 9/16
20. 20.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/2 (d) 1/6
21. 21.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
22. 22.A bag has 8 green, 3 red and 9 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 11/20 (b) 9/20 (c) 1/3 (d) 9/11
23. 23.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
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/36 (c) 1/11 (d) 1/18
26. 26.A bag has 2 blue, 4 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/9 (b) 2/9 (c) 2/7 (d) 1/3
27. 27.A bag has 5 red, 9 green and 6 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 7/10 (b) 3/7 (c) 3/10 (d) 1/3
28. 28.Three coins are tossed together. What is the probability of getting at least one head? (a) 3/8 (b) 1/8 (c) 1/4 (d) 7/8
29. 29.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/3 (b) 1/6 (c) 1/2 (d) 2/3
30. 30.A bag has 2 red, 3 yellow and 4 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 1/9 (c) 2/3 (d) 7/9
31. 31.A bag has 6 blue, 6 green and 8 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 1/3 (b) 3/10 (c) 3/4 (d) 7/10
32. 32.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/11 (d) 1/9
33. 33.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/8 (b) 1/4 (c) 1/7 (d) 7/8
34. 34.A bag has 9 white, 5 green and 3 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 13/17 (c) 5/17 (d) 12/17
35. 35.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/2 (d) 1/3
36. 36.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/11 (b) 6/11 (c) 7/36 (d) 1/6
37. 37.A bag has 4 green, 2 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/12 (b) 1/3 (c) 1/12 (d) 1/2
38. 38.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 3/5 (c) 3/8 (d) 5/8
39. 39.A bag has 8 blue, 2 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/5 (b) 2/7 (c) 1/3 (d) 5/7
40. 40.A bag has 8 white, 6 red and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 7/9 (c) 5/6 (d) 2/9

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