Probability Worksheet for Class 8 Maths Olympiad

Maths Olympiad topic 24: Probability basics · Set 212 · 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) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
2. 2.Two coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/4
3. 3.A fair dice is rolled once. What is the probability of getting a factor of 6? (a) 5/6 (b) 2/3 (c) 1/3 (d) 1/4
4. 4.A bag has 6 yellow, 8 blue and 7 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 8/21 (b) 13/21 (c) 2/3 (d) 1/3
5. 5.A bag has 5 red, 5 white and 2 blue balls. One ball is taken out without looking. What is the probability that it is not white? (a) 5/12 (b) 2/3 (c) 7/12 (d) 1/3
6. 6.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
7. 7.A bag has 6 red, 8 white and 6 yellow balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 3/10 (b) 7/10 (c) 3/7 (d) 1/3
8. 8.A bag has 8 green, 2 yellow and 3 blue balls. One ball is taken out without looking. What is the probability that it is yellow? (a) 1/3 (b) 2/11 (c) 11/13 (d) 2/13
9. 9.Two coins are tossed together. What is the probability of getting a head on every coin? (a) 1/2 (b) 1/4 (c) 3/4 (d) 1/3
10. 10.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
11. 11.Two dice are rolled together. What is the probability that the two numbers add up to 12? (a) 1/36 (b) 1/18 (c) 1/11 (d) 1/12
12. 12.A fair dice is rolled once. What is the probability of getting an odd number? (a) 1/3 (b) 1/2 (c) 2/3 (d) 1/6
13. 13.A bag has 7 yellow, 5 green and 5 blue balls. One ball is taken out without looking. What is the probability that it is green? (a) 5/12 (b) 12/17 (c) 1/3 (d) 5/17
14. 14.Two dice are rolled together. What is the probability that the two numbers add up to 4? (a) 1/9 (b) 3/11 (c) 1/11 (d) 1/12
15. 15.A fair dice is rolled once. What is the probability of getting a number greater than 1? (a) 1/3 (b) 1/5 (c) 5/6 (d) 1/6
16. 16.A fair dice is rolled once. What is the probability of getting a prime number? (a) 1/6 (b) 2/3 (c) 1/3 (d) 1/2
17. 17.A bag has 9 blue, 2 green and 9 white balls. One ball is taken out without looking. What is the probability that it is white? (a) 9/11 (b) 11/20 (c) 9/20 (d) 1/3
18. 18.A bag has 9 blue, 6 red and 3 white balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 5/9 (b) 1/18 (c) 1/3 (d) 1/2
19. 19.A bag has 3 green, 2 red and 8 yellow balls. One ball is taken out without looking. What is the probability that it is green? (a) 10/13 (b) 1/3 (c) 3/13 (d) 3/10
20. 20.A bag has 5 red, 3 green and 4 blue balls. One ball is taken out without looking. What is the probability that it is not blue? (a) 2/3 (b) 1/12 (c) 1/3 (d) 3/4
21. 21.Three coins are tossed together. What is the probability of getting at least one head and at least one tail? (a) 3/8 (b) 1/8 (c) 1/4 (d) 3/4
22. 22.A fair dice is rolled once. What is the probability of getting a number less than 4? (a) 1/6 (b) 1/2 (c) 1/3 (d) 2/3
23. 23.A bag has 2 yellow, 7 blue and 8 white balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 16/17 (c) 2/17 (d) 15/17
24. 24.Two coins are tossed together. What is the probability of getting exactly one head? (a) 1/4 (b) 2/3 (c) 1/3 (d) 1/2
25. 25.Two dice are rolled together. What is the probability that the two numbers add up to 6? (a) 1/11 (b) 1/6 (c) 5/36 (d) 5/11
26. 26.A bag has 5 yellow, 7 red and 7 green balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 15/19 (b) 14/19 (c) 5/19 (d) 1/3
27. 27.A fair dice is rolled once. What is the probability of getting a number less than 2? (a) 1/6 (b) 1/3 (c) 5/6 (d) 1/5
28. 28.Two dice are rolled together. What is the probability that the two numbers add up to 11? (a) 1/11 (b) 2/11 (c) 1/18 (d) 1/12
29. 29.Two dice are rolled together. What is the probability that the two numbers add up to 10? (a) 1/9 (b) 1/11 (c) 3/11 (d) 1/12
30. 30.A bag has 3 yellow, 3 white and 5 blue balls. One ball is taken out without looking. What is the probability that it is not yellow? (a) 1/3 (b) 3/11 (c) 8/11 (d) 9/11
31. 31.A bag has 7 green, 8 red and 3 blue balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/3 (b) 4/9 (c) 4/5 (d) 5/9
32. 32.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
33. 33.A bag has 3 white, 2 blue and 6 red balls. One ball is taken out without looking. What is the probability that it is not red? (a) 5/11 (b) 5/6 (c) 1/3 (d) 6/11
34. 34.A fair dice is rolled once. What is the probability of getting an even number? (a) 2/3 (b) 1/3 (c) 1/6 (d) 1/2
35. 35.Three coins are tossed together. What is the probability of getting exactly one head? (a) 3/5 (b) 3/8 (c) 5/8 (d) 1/4
36. 36.A fair dice is rolled once. What is the probability of getting a number greater than 2? (a) 1/4 (b) 1/3 (c) 5/6 (d) 2/3
37. 37.A bag has 8 white, 3 green and 4 yellow balls. One ball is taken out without looking. What is the probability that it is not green? (a) 13/15 (b) 4/5 (c) 1/3 (d) 1/5
38. 38.A bag has 4 green, 3 white and 7 red balls. One ball is taken out without looking. What is the probability that it is red? (a) 1/14 (b) 1/3 (c) 1/2 (d) 4/7
39. 39.Two dice are rolled together. What is the probability that the two numbers add up to 2? (a) 1/11 (b) 1/18 (c) 1/12 (d) 1/36
40. 40.A bag has 3 blue, 9 red and 9 yellow balls. One ball is taken out without looking. What is the probability that it is blue? (a) 6/7 (b) 1/7 (c) 1/3 (d) 1/6

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