Genetic interactions

Two unlinked loci effect mouse hair color. BB or Bb mice are Black. Mice with genotype bb are white because all pigment production and deposition of pigment in hair is blocked. At the second locus, the A allele (black coat) is dominant to the a allele (brown coat). A mouse with a black coat is mated with a white mouse of genotype aabb. Half of the offspring are white, one quarter are black, and one quarter are brown. What is the genotype of the black parent?
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