In the study of genetics, we can find dominant or recessive traits. When a trait is dominant, it manifests when there is only one allele or both dominant alleles. However, when a trait is recessive, it only manifests when both recessive alleles are present.
In the question, we have the following information:
• 1 - brown eyes are dominant (E);
,• 2 - red eyes are recessive (e).
,• 3 - Two individuals with brown eyes were mated.
Therefore, we can conclude that if two brown-eyed animals were crossed and they gave birth to red-eyed puppies, the female and male are "Ee" for this trait, so they manifest the brown eye.
Finally, since the only possibility for a guinea pig to be born with a red eye is if it has both recessive alleles, the genotype is "ee".
Answer: "Ee".