Brown eyes are dominant over blue eyes. If a woman with a dominant brown eyes, (homozygous) reproduces with a man with recessive blue eyes, what is the chance they will have a child with brown eyes?

The chances are 100%

Explanation:

A dominant allele is the allele that expresses itself in the offspring even if it is present in heterozygous condition (Bb). So when a woman with homozygous dominant (BB) condition of brown eyes reproduces with a man having recessive blue eyes (bb) then all the offsprings with heterozygous dominant condition for brown eyes will be produced.

B B

b Bb Bb

b Bb Bb

All the offsprings will have one dominant allele which is enough to produce brown eyes therefore all the offsprings will have brown eyes. So the chances are 100%.