Yes, the two brown-haired parents can produce a red-haired child
Explanation:
- According to the theory, the gene pair can have two combinations either red pair or the non-red pair the allele for the red hair is always recessive.
- The parent's genes with the combination of two brown-haired genes will produce red hair color. And the red hair color has lots of health issues.
- Due to the recessive character, the child can have red hair.