Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 70 · 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 multiple of 3? (a) 1/2 (b) 1/6 (c) 1/3 (d) 2/3
2. 2.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
3. 3.A bag has 7 white, 7 red and 8 green balls. One ball is taken out without looking. What is the probability that it is white? (a) 1/3 (b) 7/22 (c) 7/15 (d) 15/22
4. 4.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 1/4 (d) 5/8
5. 5.A bag has 5 green, 9 white and 3 blue balls. One ball is taken out without looking. What is the probability that it is white? (a) 10/17 (b) 1/3 (c) 8/17 (d) 9/17
6. 6.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/6 (b) 1/3 (c) 1/5 (d) 5/6
7. 7.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 1/6 (d) 2/3
8. 8.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/18 (b) 1/12 (c) 1/36 (d) 1/11
9. 9.A bag has 3 green, 6 white and 7 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/13 (b) 3/16 (c) 13/16 (d) 1/3
10. 10.Two dice are rolled together. What is the probability that the two numbers add up to 5? (a) 4/11 (b) 5/36 (c) 1/9 (d) 1/11
11. 11.A bag has 4 green, 2 yellow and 8 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 6/7 (b) 1/7 (c) 13/14 (d) 1/3
12. 12.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 1/2 (c) 2/3 (d) 1/3
13. 13.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/2 (c) 1/6 (d) 1/3
14. 14.A bag has 9 blue, 6 white and 8 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 9/14 (c) 14/23 (d) 9/23
15. 15.Three coins are tossed together. What is the probability of getting at least one head? (a) 1/8 (b) 1/4 (c) 3/8 (d) 7/8
16. 16.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
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 9 green, 3 red and 9 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 3/7 (b) 1/3 (c) 4/7 (d) 3/4
19. 19.A bag has 9 red, 6 blue and 8 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 1/3 (b) 17/23 (c) 6/17 (d) 6/23
20. 20.A fair dice is rolled once. What is the probability of getting a number greater than 3? (a) 1/2 (b) 1/3 (c) 2/3 (d) 1/6
21. 21.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 2/3 (b) 5/6 (c) 1/3 (d) 1/4
22. 22.A bag has 4 green, 9 white and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 14/19 (c) 6/19 (d) 13/19
23. 23.A bag has 2 white, 7 red and 9 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 11/18 (c) 7/18 (d) 2/3
24. 24.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
25. 25.Two coins are tossed together. What is the probability of getting at least one head? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
26. 26.A bag has 4 red, 7 green and 8 blue balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 4/19 (c) 15/19 (d) 16/19
27. 27.A bag has 6 green, 3 yellow and 9 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 1/3 (b) 2/3 (c) 7/18 (d) 1/2
28. 28.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/3 (b) 1/2 (c) 1/4 (d) 2/3
29. 29.A bag has 4 blue, 2 red and 8 green balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/7 (b) 2/7 (c) 1/3 (d) 11/14
30. 30.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 5/11 (c) 5/36 (d) 1/6
31. 31.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/4 (b) 3/4 (c) 1/8 (d) 3/8
32. 32.A bag has 2 yellow, 3 blue and 4 green balls. One ball is taken out without looking. What is the probability that it is not green? (a) 5/9 (b) 4/9 (c) 2/3 (d) 1/3
33. 33.A bag has 2 yellow, 2 red and 7 green balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 2/11 (b) 9/11 (c) 2/9 (d) 1/3
34. 34.Two dice are rolled together. What is the probability that the two numbers add up to 9? (a) 5/36 (b) 1/11 (c) 4/11 (d) 1/9
35. 35.A bag has 3 red, 5 blue and 8 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 1/3 (b) 13/16 (c) 7/8 (d) 3/16
36. 36.A bag has 4 yellow, 4 red and 2 green balls. One ball is taken out without looking. What is the probability that it is not red? (a) 2/5 (b) 7/10 (c) 3/5 (d) 1/3
37. 37.A bag has 7 blue, 4 green and 3 white balls. One ball is taken out without looking. What is the probability that it is green? (a) 2/7 (b) 5/7 (c) 2/5 (d) 1/3
38. 38.A fair dice is rolled once. What is the probability of getting a number less than 5? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 7? (a) 6/11 (b) 1/6 (c) 1/11 (d) 7/36
40. 40.A bag has 2 white, 6 yellow and 7 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 7/15 (b) 8/15 (c) 1/3 (d) 3/5

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