Answer: 
The correct answer would be C. 1/4 
The genotype of both the parents is heterozygous that is, Bb. 
So, both of them will produce two types of gametes one of which would contain B and the other one would contain b. 
The cross would produce offspring with three possible types of genotypes; BB, Bb, and bb in the ratio 1:2:1. 
The phenotype ratio would be 3(black): 1 (brown). 
Thus, the probability of a homozygous dominant (BB) would be 1 out of 4.