Answer: Second option is correct.
Step-by-step explanation:
Let the number of fiction book be 'x'.
Let the number of non fiction book be 'y'.
Total number of books = 400
So, equation would be
![x+y=400------------(1)](https://tex.z-dn.net/?f=x%2By%3D400------------%281%29)
Since there are 40 more fiction books than non fiction books.
So, equation would be
![x-y=40-------------(2)](https://tex.z-dn.net/?f=x-y%3D40-------------%282%29)
From Eq(1) and Eq(2), we have
![x+y=400\\\\x-y=40\\\\-----------------------------------\\\\2x=440\\\\x=\dfrac{440}{2}\\\\x=220](https://tex.z-dn.net/?f=x%2By%3D400%5C%5C%5C%5Cx-y%3D40%5C%5C%5C%5C-----------------------------------%5C%5C%5C%5C2x%3D440%5C%5C%5C%5Cx%3D%5Cdfrac%7B440%7D%7B2%7D%5C%5C%5C%5Cx%3D220)
And we will find the value of y:
![220+y=400\\\\y=400-220\\\\y=180](https://tex.z-dn.net/?f=220%2By%3D400%5C%5C%5C%5Cy%3D400-220%5C%5C%5C%5Cy%3D180)
As we have given that Ryan randomly picks one book without replacing it he picks the another book.
Probability that both pick non fiction books would be
![\dfrac{180}{400}\times \dfrac{179}{399}\\\\=0.20](https://tex.z-dn.net/?f=%5Cdfrac%7B180%7D%7B400%7D%5Ctimes%20%5Cdfrac%7B179%7D%7B399%7D%5C%5C%5C%5C%3D0.20)
Hence, Second option is correct.