Answer: True
Step-by-step explanation:
'B' which stands for the DOMINANT allele of brown eyes has been inherited by the child as well as 'b' which is the RECESSIVE allele representing blue eyes.
As a result of the child inheriting both, the child's genotype would be Bb to represent both.
And because the BLUE eye allele is recessive and the BROWN is dominant, the Brown eye allele will dominate and the child will have brown eyes.