Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 969 · 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 red, 7 blue and 6 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 1/18 (b) 2/3 (c) 1/3 (d) 13/18
2. 2.A bag has 5 green, 9 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 5/21 (c) 16/21 (d) 5/16
3. 3.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
4. 4.A bag has 4 white, 3 red and 4 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 4/11 (c) 4/7 (d) 7/11
5. 5.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/5 (b) 5/6 (c) 1/6 (d) 1/3
6. 6.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/18 (b) 1/36 (c) 1/12 (d) 1/11
7. 7.A bag has 4 white, 2 red and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/5 (b) 1/6 (c) 5/6 (d) 1/3
8. 8.A bag has 5 red, 9 yellow and 3 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 12/17 (c) 5/17 (d) 13/17
9. 9.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 1/4 (c) 1/3 (d) 2/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 3? (a) 2/11 (b) 1/12 (c) 1/11 (d) 1/18
11. 11.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
12. 12.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
13. 13.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/3 (b) 3/4 (c) 1/2 (d) 1/4
14. 14.A bag has 3 green, 6 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/5 (b) 2/3 (c) 1/3 (d) 2/5
15. 15.A bag has 7 blue, 6 white and 5 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 7/9 (b) 1/3 (c) 13/18 (d) 5/18
16. 16.A fair dice is rolled once. What is the probability of getting an even number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
17. 17.A bag has 5 green, 8 white and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 13/22 (b) 1/3 (c) 9/22 (d) 7/11
18. 18.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/2 (b) 2/3 (c) 1/3 (d) 1/6
19. 19.A bag has 4 green, 9 yellow and 6 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 6/13 (b) 13/19 (c) 6/19 (d) 1/3
20. 20.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/36 (b) 1/11 (c) 5/11 (d) 1/6
21. 21.A bag has 5 yellow, 2 white and 2 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 2/7 (c) 7/9 (d) 2/9
22. 22.A bag has 5 blue, 7 yellow and 4 red balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 7/9 (b) 9/16 (c) 7/16 (d) 1/3
23. 23.A fair dice is rolled once. What is the probability of getting an odd number? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
24. 24.A bag has 8 yellow, 2 blue and 5 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/15 (b) 2/3 (c) 1/3 (d) 11/15
25. 25.A bag has 8 green, 3 white and 3 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 1/3 (b) 4/7 (c) 3/4 (d) 3/7
26. 26.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 7/8 (d) 3/8
27. 27.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/12 (b) 1/11 (c) 1/36 (d) 1/18
28. 28.A bag has 2 yellow, 2 white and 8 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/12 (b) 1/3 (c) 2/3 (d) 3/4
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/9 (c) 1/11 (d) 5/36
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
31. 31.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
32. 32.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
33. 33.A bag has 4 red, 9 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 19/22 (b) 1/3 (c) 2/11 (d) 9/11
34. 34.A bag has 8 blue, 5 green and 9 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 4/7 (b) 4/11 (c) 7/11 (d) 1/3
35. 35.A bag has 5 yellow, 3 red and 5 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 5/13 (c) 8/13 (d) 5/8
36. 36.Two coins are tossed together. What is the probability of getting at least one head? (a) 3/4 (b) 1/4 (c) 1/2 (d) 1/3
37. 37.A bag has 7 red, 4 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 7/17 (b) 7/10 (c) 10/17 (d) 1/3
38. 38.A bag has 5 yellow, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/14 (b) 14/17 (c) 3/17 (d) 1/3
39. 39.A fair dice is rolled once. What is the probability of getting a number less than 3? (a) 2/3 (b) 1/6 (c) 1/2 (d) 1/3
40. 40.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 1/11 (b) 5/36 (c) 5/11 (d) 1/6

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