Final answer:
The percentage chance of a child having blue eyes depends on the genetics of the parents, with a 50% chance if the brown-eyed parent is heterozygous for the eye color trait.
Step-by-step explanation:
The prediction of a child's eye color based on parental eye colors involves understanding genetics and the inheritance of traits. Eye color is a polygenic trait, meaning it is determined by multiple genes. While a single Punnett square with only two alleles can predict the inheritance of traits like colorblindness, predicting eye color is more complex.
Nonetheless, if one parent has brown eyes and the other has blue eyes, and assuming brown is the dominant trait and blue is the recessive trait, the probability for the child to have blue eyes depends on whether the brown-eyed parent carries the recessive blue-eyed gene. If the brown-eyed parent is heterozygous, carrying one allele for blue eyes, the child has a 50% chance of having blue eyes. However, if the brown-eyed parent is homozygous for brown eyes, the child will most likely have brown eyes since blue eye color would require two recessive alleles.