Final answer:
Without knowing the genotypes of the parents, the question cannot be answered precisely. However, if each parent has one dominant and one recessive allele (Bb), there is a 25% chance their offspring will have two recessive alleles (bb) resulting in white fur.
Step-by-step explanation:
In order to determine the percentage that a child will have white fur given the dominance of brown fur (B) over white fur (b), we need to understand the basics of Mendelian genetics. Genotype BB or Bb will result in brown fur, while only genotype bb will result in white fur. Without information about the parent's genotypes, an exact answer can't be given. However, if both parents are carriers (Bb), the Punnett square predicts that on average there is a 25% chance of the offspring being bb (white fur) - Bb x Bb cross results in a phenotypic ratio of 3:1 (75% brown, 25% white).