Final answer:
Couple #1, with a father of blood type O, cannot have a child with blood type A but can have blood type O children if the mother is heterozygous. Couple #2, with a father of blood type A and a mother of blood type AB, can have children of any blood type, including A and O.
Step-by-step explanation:
The question pertains to the inheritance of blood type and which couples could have children with the given blood types. Baby X has blood type A, and Baby Y has blood type O. Given the blood types of the parents in each couple, we can determine which couple could have these children. Couple #1, with a father of blood type O (genotype ii) and a mother of blood type B (possible genotypes IBIB or IBi), cannot have a child with blood type A because the father can only pass on the O allele (i). If the mother has the genotype IBi, they can have a child with blood type O.
Couple #2, with a father of blood type A (possible genotypes IAIA or IAi) and a mother of blood type AB (genotype IAIB), can have children with blood types A, B, AB, or O. Thus, couple #2 could have both Baby X (blood type A) and Baby Y (blood type O).