The ABO blood groups are determined by three alleles: \(I^A\), \(I^B\), and \(i\). A child inherits one allele from each parent.
- Genotype for Type O is \(ii\).
- Genotype for Type A is \(I^A I^A\) or \(I^A i\).
- Genotype for Type B is \(I^B I^B\) or \(I^B i\).
- Genotype for Type AB is \(I^A I^B\).
Step 1: Evaluate each option.
(1) Mother (O) has genotype \(ii\). Father (O) has genotype \(ii\). They can only pass on the \(i\) allele to their child. Therefore, their child MUST have genotype \(ii\) and be blood type O. A child with blood group "A" is impossible. This statement is incorrect.
(2) Mother, Father, and Child all have "A". This is possible. For example, if both parents have genotype \(I^A i\), they can have a child with genotype \(I^A I^A\) or \(I^A i\) (Type A).
(3) Mother (A) and Father (B). This is possible. If Mother is \(I^A i\) and Father is \(I^B i\), they can have a child with genotype \(I^A I^B\) (Type AB).
(4) Mother (O) and Child (O), Father (B). This is possible. Mother (\(ii\)) gives an \(i\) allele. For the child to be O (\(ii\)), they must also get an \(i\) allele from the father. This is possible if the father has genotype \(I^B i\).
Conclusion: The scenario in option (1) violates the laws of Mendelian inheritance.