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There are three alleles for blood type which can be represented by IA, IB, and i.

A person with blood type O has the genotype ii. A person with blood type AB has genotype IAIB. If these two people produce children, those children will inherit one allele from each parent. They will therefore certainly inherit the i allele from their mother and either the IA or the IB from their father.

The children with the genotype IAi will have type A blood, since the IA allele is dominant to the i allele.

The children with the genotype IBi will have type B blood, since the IB allele is also dominant to the i allele.

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Q: How do you find the possible genotypes of the children of a woman with blood type O and a man with blood type AB?
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