It is possible for a white female rabbit to give birth to all white rabbits even if the father had a brown fur. This is largely due to chance.
Chance in genetics
Let us first consider the cross in question.
Brown fur is dominant over white fur. Assuming the brown allele is B while the white allele is b, a brown rabbit will have a genotype of either BB or Bb. A white rabbit, on the other hand, can only have a bb genotype.
This means that the genotype of the female rabbit will be bb. If the genotype of the brown fur father is BB:
  BB  x  bb
 Bb  Bb  Bb  Bb
All the offspring will have brown fur since B is dominant over b.
In other words, the genotype of the father rabbit can only be Bb.
  Bb   x   bb
Bb  Bb  bb  bb
Genotype ratio = 50% Bb : 50% bb
Phenotype ratio = 50% brown fur : 50% white fur
The chances of producing white fur offspring is 50% while that of brown fur offspring is also 50%. Given enough population of offspring, these chances will reflect.
However, with a small population of offspring, it is possible for either of the fur colors to be dominant. An all-white or all-brown fur offspring can result in a small population.
More on chances in genetics can be found here: https://brainly.com/question/907001
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