Answer:
If both parents had a recessive allele for blue eyes and they had a brown phenotype it is completely possible for the child to have blue eyes.
Step-by-step explanation:
Chromosomes play the role of transfering the encoded strands of DNA to the child. Genotypes are the traits or groups of traits transferred and need to carry the trait of blue eyes in order for the child to have them. As long as the parents had a recessive allele for blue eyes they could have a blue eyed child.
(apologies for the incomplete answer, I accidentally hit send)