Final answer:
The presence of black eyes and a white coat in the offspring of a black-eyed, black coat rabbit and a red-eyed, white coat rabbit is most likely a result of genetic mutations, which can introduce new traits into a population. This assumes none of the phenomena listed in the potential options directly pertain to the immediate outcome of a breeding event.
Step-by-step explanation:
If a black-eyed, black coat rabbit is crossed with a red-eyed, white coat rabbit, and the offspring is black-eyed and white coat, this phenotype combination can be due to genetic recombination which is not listed in the provided options. However, of the choices given, D. genetic mutations is the most likely explanation. Genetic mutations introduce new alleles into a population, which could result in a new phenotype if these mutants are expressed. The offspring's black eyes could be traced back to the black-eyed parent as a dominant trait, while the white coat, if recessive, might appear in the offspring due to the presence of the white coat allele from the red-eyed parent.
While genetic drift could change allele frequencies in a population over time, it does not explain the immediate appearance of an offspring phenotype that combines traits from both parents. Genetic mutations are changes to the DNA sequence and can introduce new traits such as the white coat color. If the allele responsible for the white coat was previously a mutation, this could be heralded as the source of the offspring's coat color. None of the other options listed such as restriction enzymes, recombinant DNA, genetic drift, or gel electrophoresis, directly explain the phenotypic outcome of a single breeding event between two rabbits.