Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 177 · 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.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/6 (b) 5/36 (c) 1/11 (d) 5/11
2. 2.A bag has 2 green, 6 yellow and 7 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 7/15 (b) 7/8 (c) 1/3 (d) 8/15
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/12 (c) 1/11 (d) 3/11
4. 4.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 2/3 (c) 1/6 (d) 1/2
5. 5.A bag has 2 green, 6 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 2/3 (b) 2/5 (c) 1/3 (d) 3/5
6. 6.A bag has 9 yellow, 9 green and 2 white balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 3/5 (c) 11/20 (d) 9/20
7. 7.A bag has 8 green, 6 white and 5 red balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 11/19 (c) 12/19 (d) 8/19
8. 8.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
9. 9.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/4
10. 10.A bag has 6 yellow, 5 blue and 3 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/7 (b) 9/14 (c) 4/7 (d) 1/3
11. 11.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
12. 12.Three coins are tossed together. What is the probability of getting exactly one head? (a) 5/8 (b) 3/8 (c) 1/4 (d) 3/5
13. 13.A bag has 2 red, 2 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/5 (b) 1/3 (c) 1/5 (d) 1/4
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 1/9 (d) 5/36
15. 15.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 2/3 (c) 1/4 (d) 5/6
16. 16.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
17. 17.A bag has 6 yellow, 8 green and 5 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/19 (b) 14/19 (c) 13/19 (d) 1/3
18. 18.Three coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/7 (c) 7/8 (d) 1/8
19. 19.A bag has 7 red, 6 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/21 (b) 1/3 (c) 2/3 (d) 5/7
20. 20.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 3/4 (c) 1/3 (d) 1/4
21. 21.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/8 (b) 3/4 (c) 3/8 (d) 1/4
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 1/6 (b) 1/11 (c) 7/36 (d) 6/11
23. 23.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 2/3
24. 24.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/12 (d) 1/18
25. 25.A bag has 4 green, 5 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/11 (b) 7/11 (c) 6/11 (d) 1/3
26. 26.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
27. 27.A bag has 7 blue, 3 green and 3 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 10/13 (b) 1/3 (c) 3/13 (d) 3/10
28. 28.A bag has 3 red, 6 blue and 6 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 13/15 (c) 4/5 (d) 1/5
29. 29.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
30. 30.A bag has 2 green, 9 red and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/4 (c) 5/16 (d) 11/16
31. 31.A bag has 5 blue, 8 green and 3 red balls. One ball is taken out without looking. What is the probability that it is blue? (a) 5/11 (b) 11/16 (c) 1/3 (d) 5/16
32. 32.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 1/4 (d) 3/8
33. 33.A bag has 9 blue, 4 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/18 (b) 7/9 (c) 1/3 (d) 5/18
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/11 (b) 3/11 (c) 1/12 (d) 1/9
35. 35.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
36. 36.A bag has 9 red, 2 blue and 3 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 9/14 (c) 5/14 (d) 5/7
37. 37.A bag has 3 red, 8 yellow and 9 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/20 (b) 2/5 (c) 3/5 (d) 1/3
38. 38.A bag has 2 red, 9 yellow and 6 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 15/17 (c) 16/17 (d) 2/17
39. 39.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9

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