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Assuming that the black fur is a dominant trait, then the genotype of the kitten is Bw.
Because if we assume that black fur is dominant, then white fur is recessive meaning that the other cat has pure recessive fur.
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The litter of kittens of a black and a white cat is all blacks. The genotype of the kitten is Bb.
What is a genotype?
Genotype is the set or arrangement of all the traits an organism have. It is the collection of all gene that is inherited by the parents to the offsprings. Genotypes are of three types, homozygous recessive, homozygous dominant, and heterozygous.
The recessive allele will be bb, white
The dominant allele is BB, black
So the black comes on all the kittens, so it is dominant, so the genotype will be Bb for black kittens.
Thus, the genotype of the kittens is Bb.
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