Final answer:
Children of parents both with the genotype IAIB can have the genotypes IAIB or IAIA. Option (A) IAi is not possible because neither parent has the i allele. Option (C) IBIB could occur but is not listed among the options given.
Step-by-step explanation:
When two people with the genotype IAIB have children, their children could potentially have one of the following genotypes:
Each parent with genotype IAIB can produce gametes that carry either the IA allele or the IB allele, since these are the alleles in each parent's genotype. There are no i alleles to pass on, so the gametes will not carry the i allele (which encodes the O blood type). When these gametes combine, we can see the following possible genotypes for their children:
- (A) IAi: This is not possible since neither parent possesses the i allele.
- (B) IAIB: This is possible since both parents carry IA and IB alleles.
- (C) IBIB: This is not listed as an option but is indeed possible with two IB alleles combining.
- (D) IAIA: This is also possible if both IA alleles combine.
Therefore, of the options provided, (B) IAIB and (D) IAIA are the possible genotypes for their children.