A mother with a red cell phenotype D+C+E-c-e+ has anti-c (titer of 32 at AHG) in her serum, while the father has phenotype D+C+E-c+e+. What is the baby's most probable Rh genotype?

To determine the baby's most probable Rh genotype, we first need to analyze the Rh phenotypes of both parents and the implications of the mother's anti-c antibody.

The mother's phenotype is D+C+E-c-e+, indicating she is positive for D, C, and E antigens but negative for the c antigen and positive for the e antigen. She has an anti-c antibody with a significant titer, which suggests that she could potentially react to c antigens present in the fetus if the fetus inherits them from the father.

The father's phenotype is D+C+E-c+e+, meaning he shares the D, C, and E antigens with the mother but is positive for the c antigen while still being positive for the e antigen.

Given that the mother has anti-c antibodies, if the baby inherited the father's c antigen, it could result in an immunological reaction. To avoid this and determine the baby's genotype, we look at the inheritance patterns of the Rh antigens.

The possible alleles that can be present in the baby's Rh genotype come from the parents. The mother's anti-c suggests that she must contribute a c or e, but not a c, thus she can provide either a "r" (which is the c,e) or