Answer:
The parent with black fur had genotype Bb.
Step-by-step explanation:
White fur is recessive in mice, so a mouse with white fur has to have two alleles of the white fur gene (bb). Black fur is dominant to white fur, so a mouse with black fur only needs one allele of the black fur gene (BB or Bb). In order for a black mouse and a white mouse to produce white offspring, the black parent has to have an allele for the white fur gene (Bb).