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 that is inactive. 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 inactive enzyme. 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 AAbbCC x aaBBcc, what is the expected phenotypic segregation ratio? (SHOW ALL WORK)