Answer:
The mother's genotype could be BB or BO since she has type B blood.
To determine the possible genotypes of the father, we need to use the principles of Mendelian genetics. Since the mother has type B blood, she must have at least one B allele, but she could have either another B allele or an O allele. We can represent the mother's possible genotypes as BB or BO.
The daughter has type AB blood, which means she inherited one A allele from one parent and one B allele from the other parent. Therefore, the father must have at least one A allele and one O allele or two A alleles. We can represent the father's possible genotypes as AO, BO, AB, or OO.
The son has type O blood, which means he inherited two O alleles, one from each parent. Therefore, the father must have at least one O allele. We can eliminate the AB genotype for the father because it would result in the son having type A or AB blood.
So, based on the blood types of the mother, daughter, and son, the possible genotypes of the parents are:
Mother: BB or BO
Father: AO, BO, or OO
Note that we cannot determine the exact genotypes of the parents with certainty based on the blood types alone, as there could be multiple combinations of genotypes that would result in the observed blood types. However, the above possibilities are the most likely based on the known principles of Mendelian genetics.