Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 681 · 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 an even number? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
2. 2.Two dice are rolled together. What is the probability that the two numbers add up to 8? (a) 5/36 (b) 5/11 (c) 1/11 (d) 1/6
3. 3.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 4/11 (b) 1/11 (c) 5/36 (d) 1/9
4. 4.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
5. 5.Three coins are tossed together. What is the probability of getting at least one head? (a) 7/8 (b) 1/8 (c) 3/8 (d) 1/4
6. 6.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/8 (c) 3/4 (d) 3/8
7. 7.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
8. 8.A fair dice is rolled once. What is the probability of getting a multiple of 3? (a) 1/6 (b) 2/3 (c) 1/2 (d) 1/3
9. 9.A bag has 4 yellow, 6 red and 7 white balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 4/17 (b) 13/17 (c) 4/13 (d) 1/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
11. 11.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 1/3 (d) 3/4
12. 12.A bag has 9 green, 4 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is not white? (a) 7/20 (b) 7/10 (c) 13/20 (d) 1/3
13. 13.A bag has 2 green, 7 white and 7 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 7/8 (b) 15/16 (c) 1/8 (d) 1/3
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/12 (b) 2/11 (c) 1/11 (d) 1/18
15. 15.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/4 (b) 1/2 (c) 3/4 (d) 1/3
16. 16.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 1/11 (b) 5/36 (c) 1/9 (d) 4/11
17. 17.A bag has 2 red, 3 yellow and 2 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 3/7 (b) 4/7 (c) 5/7 (d) 1/3
18. 18.A bag has 8 yellow, 5 red and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 3/10 (c) 3/4 (d) 1/4
19. 19.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
20. 20.A bag has 4 blue, 5 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/18 (b) 1/3 (c) 1/2 (d) 5/9
21. 21.A bag has 8 yellow, 6 white and 9 red balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 16/23 (b) 1/3 (c) 8/23 (d) 15/23
22. 22.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 5/11 (b) 5/36 (c) 1/11 (d) 1/6
23. 23.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
24. 24.Three coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 5/8 (c) 3/8 (d) 3/5
25. 25.A bag has 3 yellow, 3 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 10/13 (c) 3/10 (d) 3/13
26. 26.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 2/3 (b) 1/4 (c) 5/6 (d) 1/3
27. 27.A bag has 9 red, 8 blue and 7 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/5 (b) 5/8 (c) 3/8 (d) 1/3
28. 28.A bag has 4 red, 7 white and 9 green balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 1/5 (c) 4/5 (d) 1/4
29. 29.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/6 (b) 1/3 (c) 2/3 (d) 1/2
30. 30.A fair dice is rolled once. What is the probability of getting a number greater than 4? (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
31. 31.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 1/3 (b) 1/4 (c) 5/6 (d) 2/3
32. 32.A bag has 7 blue, 7 red and 5 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 15/19 (b) 1/3 (c) 5/19 (d) 14/19
33. 33.A bag has 3 yellow, 4 white and 3 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 3/10 (b) 1/3 (c) 7/10 (d) 3/7
34. 34.A bag has 6 red, 2 white and 2 yellow balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 7/10 (c) 3/5 (d) 2/5
35. 35.A bag has 9 red, 7 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) 11/18 (c) 2/3 (d) 7/18
36. 36.A bag has 8 green, 9 blue and 4 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 3/4 (b) 1/3 (c) 4/7 (d) 3/7
37. 37.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 5/6 (b) 1/5 (c) 1/6 (d) 1/3
38. 38.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
39. 39.A fair dice is rolled once. What is the probability of getting a prime number? (a) 2/3 (b) 1/2 (c) 1/3 (d) 1/6
40. 40.A bag has 4 blue, 5 white and 4 yellow balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 5/8 (c) 5/13 (d) 8/13

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