Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 113 · 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 white, 4 green and 2 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/11 (b) 1/3 (c) 4/11 (d) 4/7
2. 2.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/4 (b) 1/4 (c) 1/8 (d) 3/8
3. 3.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/5 (c) 1/4 (d) 3/8
4. 4.A bag has 2 green, 2 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/9 (b) 1/3 (c) 2/7 (d) 2/9
5. 5.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 1/2 (c) 3/4 (d) 1/4
6. 6.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
7. 7.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
8. 8.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
9. 9.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
10. 10.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 2/3 (d) 1/3
11. 11.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
12. 12.A bag has 5 blue, 2 yellow and 2 red balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/9 (b) 1/3 (c) 4/9 (d) 4/5
13. 13.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 1/9 (c) 3/11 (d) 1/12
14. 14.A bag has 6 red, 9 white and 5 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/7 (b) 1/3 (c) 7/10 (d) 3/10
15. 15.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
16. 16.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/5 (b) 5/6 (c) 1/3 (d) 1/6
17. 17.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 1/9 (b) 1/11 (c) 5/36 (d) 4/11
18. 18.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 red? (a) 1/2 (b) 1/3 (c) 2/3 (d) 5/12
19. 19.A bag has 4 green, 8 red and 8 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 4/5 (b) 1/5 (c) 1/3 (d) 1/4
20. 20.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
21. 21.A bag has 2 white, 5 yellow and 6 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 5/13 (b) 8/13 (c) 1/3 (d) 5/8
22. 22.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
23. 23.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/7 (b) 1/4 (c) 7/8 (d) 1/8
24. 24.A bag has 2 white, 7 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 5/7 (c) 5/12 (d) 7/12
25. 25.A bag has 4 red, 5 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/2 (b) 2/3 (c) 2/5 (d) 1/3
26. 26.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 1/12 (d) 3/11
27. 27.A bag has 6 green, 8 red and 8 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/7 (b) 7/11 (c) 1/3 (d) 4/11
28. 28.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 1/6 (c) 2/3 (d) 1/3
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 2/11 (b) 1/11 (c) 1/18 (d) 1/12
30. 30.A bag has 2 green, 8 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 2/13 (c) 11/13 (d) 12/13
31. 31.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
32. 32.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
33. 33.A bag has 7 yellow, 7 white and 7 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/21 (b) 2/3 (c) 5/7 (d) 1/3
34. 34.A bag has 2 yellow, 9 blue and 4 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 14/15 (c) 2/15 (d) 13/15
35. 35.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
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) 1/18 (d) 1/36
37. 37.A bag has 8 green, 5 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 13/18 (c) 5/18 (d) 5/13
38. 38.A bag has 8 red, 5 white and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 1/2 (c) 2/5 (d) 2/3
39. 39.A bag has 4 red, 7 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 7/8 (b) 1/3 (c) 7/15 (d) 8/15
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/11 (c) 1/36 (d) 1/12

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