Step-by-step explanation: Answer is
(i). 19% or 14/75
(ii) 28% or 7/25
We are asked to find multiple probabilities.
We got to find the number of combinations posible,
Use the combinations formula
![c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial}](https://tex.z-dn.net/?f=c%20%7B%7D%5E%7Bn%7D%20%20_r%7B%3F%7D%20%3D%20%20%5Cfrac%7B%28r%20%2B%20%20n%20%20-%201%29%20%5C%3A%20fractorial%29.%7D%7Br%20%5C%3A%20fractorial%28n%20-%201%29fractorial%7D%20)
For math this is read as,
if n choose r,( r+n-1)!/r!(n-1)!.
Where r is how many things we need from and n is the number of things we choose from.
We need 2 things and we have 24 objects to pick from.
So r=2 N equal=24
Which equal
25!/2!(23)!
Which equals
![300](https://tex.z-dn.net/?f=300)
So there are 300 possible combinations.
Using
For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.
![14 \times 4 = 56](https://tex.z-dn.net/?f=14%20%5Ctimes%204%20%3D%2056)
So this means the probability is
![\frac{56}{300} = \frac{14}{75}](https://tex.z-dn.net/?f=%20%5Cfrac%7B56%7D%7B300%7D%20%20%3D%20%20%5Cfrac%7B14%7D%7B75%7D%20)
Which is 19%
For the 2nd question, the can multiply the number of minor articles by major articles.
![6 \times 4 = 24](https://tex.z-dn.net/?f=6%20%5Ctimes%204%20%3D%2024)
So the probability
is
![\frac{24}{300} = \frac{8}{100} = \frac{2}{25}](https://tex.z-dn.net/?f=%20%5Cfrac%7B24%7D%7B300%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B100%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7B25%7D%20)
Which is equal to 8%