The second answer is correct.
If we make a punnet square: (sry if its weird, i had to improvise, lol)
B b -
__-_____-_____-
B - BB - Bb -
__-_____-_____-
b - Bb - bb -
We know that both the female and male are heterozygous, meaning the alleles are different, so one would be dominant, and one would be recessive( for both the female and male). So both female and male would be Bb, as on the punnet square. If we cross them, we get BB, Bb, Bb, and bb. So, 25% of that is BB, which is black feathers. We have 50% of gray feathers, Bb, and 25% white feathers, bb. Therefore, the second option is correct.