Final answer:
To identify Gill Bates' child, we must look for someone with either type A or B blood with Rh+ or Rh- since Gill was type AB Rh+ and the mother was type O Rh-. Type O is not a possibility in a child from an AB parent, making the individual with type A or B blood and any Rh factor the most probable heir.
Step-by-step explanation:
To determine which individual could potentially be Gill Bates' child, we must consider both the ABO blood types and the Rh factor. The ABO blood type is determined by the presence of antigens on the surface of red blood cells. The alleles involved are:
- IA for the A antigen
- IB for the B antigen
- i for the lack of these antigens (Type O)
Type AB blood indicates the presence of both A and B antigens, hence the genotype must be IAIB.
The Rh factor is determined by the presence (Rh+) or absence (Rh-) of the D antigen. A Rh+ individual can be either homozygous (RR) or heterozygous (Rr) for the Rh factor allele, while an Rh- individual must be homozygous recessive (rr).
Given that Gill Bates was blood type AB Rh+, with a possible genotype of IAIBRR or IAIBRr, and the mother was type O Rh-, with a genotype of ii rr, the child would have to inherit an i allele from the mother and either an IA or IB allele from the father for the ABO blood type. For the Rh factor, the child could be either Rh+ (Rr) or Rh- (rr), given that we do not know Gill Bates' exact Rh genotype.
The child's blood type could only be A or B, either Rh+ or Rh-, since type O is impossible with an AB parent. Therefore, out of the four individuals under consideration, the one with either type A or type B blood, and negative or positive Rh factor is the most likely heir.