Final Answer:
Father: AA or AO
Mother: BB or BO
Child 1: AO or OO
Child 2: AB
Step-by-step explanation:
In the context of genetic inheritance, individuals inherit one allele from each parent for a particular gene. Let's consider the father first. Since A is a dominant allele, the father can have either AA or AO genotypes. Similarly, for the mother, as B is dominant, her genotype can be either BB or BO.
Moving on to the children, the first child can inherit an A allele from the father and either an A or O allele from the mother, resulting in AO or OO genotypes. For the second child, they will inherit one allele from each parent, resulting in an AB genotype.
Genetic inheritance is governed by the principles of dominant and recessive alleles. Understanding how alleles combine in offspring can be elucidated through Punnett squares, a helpful tool in predicting the possible genotypes of family members.