Final answer:
When a heterozygous short hair female rabbit is mated with a homozygous short hair male, all offspring will have short hair, as short hair is the dominant trait.
Step-by-step explanation:
The question involves an understanding of Mendelian genetics and dominance in allele expression. When a heterozygous short hair female rabbit (Ss) is mated with a homozygous short hair male rabbit (SS), the offspring have the potential appearance of short hair. Short hair is the dominant trait, so any offspring that inherits the 'S' allele will display the short hair phenotype.
Considering the possible genetic combinations, the offspring could have either the SS genotype (resulting from an S sperm and an S egg) or the Ss genotype (resulting from an s egg and an S sperm). In both scenarios, short hair will be observed because the presence of at least one dominant 'S' allele is enough to express the short hair phenotype.
Therefore, all the progeny of this mating will have the appearance of short hair, displaying the dominance of the short hair gene.