Concept:Each offspring inherits one allele from each parent.
The parents' genotypes must be able to produce all the observed offspring genotypes:
AB,
BB,
BO, and
AO.
Explanation:The offspring include
BB, so each parent must carry the
B allele.
The offspring include
AO, so one parent must supply
A and the other must supply
O.
The offspring also include
AB and
BO, which are formed when one parent contributes
A and the other contributes
B, or one contributes
B and the other contributes
O.
Therefore, one parent must have genotype
AB and the other must have genotype
BO.
A cross between
AB and
BO produces
AB,
AO,
BB, and
BO in the offspring.
This matches all the listed offspring blood groups.
Answer:AB and
BO.