Final answer:
The question relates to predicting parental genotypes based on a given set of offspring phenotypes in genetics. By analyzing the phenotypic ratio and assuming complete dominance, the likely genotypes of the parents are one with C_C_Bb and the other with Ccbb_ or CcB_, considering potential unknown alleles.
Step-by-step explanation:
The subject of this question is Biology, specifically genetics, and the question is appropriate for a high school grade level. To determine the genotypes of parents producing a specific progeny, one must understand inheritance patterns and be able to interpret genetic ratios.
Given the progeny phenotypes and their numbers (916 brown, 316 black, 416 albino), we can infer the genotypes associated with these phenotypes. Assuming complete dominance, where brown is dominant over black and both are dominant over albino, and based on the given 9:3:4 phenotypic ratio, we can hypothesize that the genotype for brown is C_cb_B_, for black is C_cbb_, and for albino is cc__. The genotype for the albino offspring means that both parents must carry the 'c' allele, since albinism is recessive. However, since we have brown and black offspring, both parents must also have at least one 'B' allele, and at least one parent must have the 'C' allele. A likely combination would be that one parent is C_C_Bb and the other is Ccbb_, where the '_' represents any allele.
Considering all possible scenarios and assuming that 'C' and 'c' alleles determine color presence or albinism and 'B' and 'b' alleles determine the actual color (brown or black), the parents' genotypes could be something like C_C_Bb, Ccbb_, or with unknown alleles, C_C_Bb, CcB_.