Answer
A
Work Step by Step
There is no chance that the child can turn out to have $B^{-}$ blood. In this question, the woman can only contribute an $A^{-}$ allele whereas the man can contribute an $A^{-}$ or a $B^{-}$ allele. If the child gets an $A^{-}$ allele from the mother and an $A^{-}$ allele from the father, the child will have $A^{-}$ blood. If the child receives an $A^{-}$ allele from the mom and a $B^{-}$ allele from the father, the child will have $AB^{-}$ blood. Only if each parent is able to contribute a $B^{-}$ allele or if one parent has an $O^{-}$ allele can the child have $B^{-}$ blood.