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?