Given what we know, we can confirm that the parents have brown hair.
Why do the parents have brown hair?
This has to do with how dominant alleles work. When an allele is dominant, it is because, in the presence of mixed alleles, this trait will always be the one reflected in the phenotype of the individual. Since the parents possess an allele for brown hair and one for blonde, but brown hair is dominant, both parents will have brown hair.
Therefore, we can confirm that both parents will have brown hair due to the dominant nature of the brown hair allele.
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