Consider the following hypothetical scheme of determination of coat color

Consider the following hypothetical scheme of determination of coat color in a mammal. Gene A controls the conversion of a white pigment P0 into a gray pigment P1; the dominant allele A produces the enzyme necessary for this conversion, and the recessive allele a produces an enzyme without biochemical activity. Gene B controls the conversion of the gray pigment P1 into a black pigment P2; the dominant allele B produces the active enzyme for this conversion, and the recessive allele b produces an enzyme without activity. The dominant allele C of a third gene produces a polypeptide that completely inhibits the activity of the enzyme produced by gene A; that is, it prevents the reaction P0→P1. Allele c of this gene produces a defective polypeptide that does not inhibit the reaction P0→P1. Genes A, B, and C assort independently, and no other genes are involved. In the F2 of the cross AA bb CC × aa BB cc, what is the expected phenotypic segregation ratio?

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