Final answer:
The correct answer is b. Both parents are heterozygous, having the green trait on the green-blue eye gene. Green eyes can be produced if both parents contribute a gene for green eyes that is hidden behind their brown eye phenotype.
Step-by-step explanation:
In the scenario described, a brown eyed homozygous mother (BB) is paired with a brown eyed heterozygous father (Bb) to predict their children's eye color. Since the mother is homozygous for the brown eye allele, she can only pass on a 'B' allele. The father, being heterozygous, can pass on either a 'B' or a 'b' allele. Because brown is dominant over blue, any child receiving at least one 'B' allele will have brown eyes.
- The possible genotypes for the children are BB or Bb.
- The possible phenotype for all the children is brown eyes.
Coming to the genetic possibilities related to a green-eyed child with both parents having brown eyes:
Children of a brown eyed homozygous mother (BB) and a brown eyed heterozygous father (Bb) can only have brown eyes with genotypes BB or Bb. Green eyes in children with brown-eyed parents occur if both parents carry the green trait gene recessively.