Probability Worksheet for Class 8 Maths Olympiad

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

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