Step 1: Understanding the Concept:
ABO blood grouping is an example of multiple allelism and codominance, determined by alleles $I^A, I^B,$ and $i$.
Step 2: Key Formula or Approach:
Woman (Group AB) Genotype: $I^A I^B$
Man (Group O) Genotype: $ii$
Cross: $I^A I^B \times ii$
Punnett Square:
\[
\begin{array}{|c|c|c|}
\hline
\text{Gametes} & i & i
\hline
I^A & I^A i \text{ (Group A)} & I^A i \text{ (Group A)}
\hline
I^B & I^B i \text{ (Group B)} & I^B i \text{ (Group B)}
\hline
\end{array}
\]
Step 3: Detailed Explanation:
The mother provides either an $I^A$ allele or an $I^B$ allele.
The father provides only the $i$ allele.
Resulting offspring can only have genotypes $I^A i$ (Phenotype A) or $I^B i$ (Phenotype B).
There is a 0% probability of having a child with group AB or group O.
Step 4: Final Answer:
The children will have either blood group A or blood group B.