According to this website, http://museum.thetech.org/ugenetics/eyeCalc/eyecalculator.html, the baby has a 66.6% chance of having brown eyes, a 20% chance of having blue eyes and a 13.3% chance of having green eyes. Fingers crossed that the baby is not "blessed" with my boring, dominant gene, brown eyes!
Although, this calculator could be a load of crap too. My parents, who both have brown eyes, have a son (my brother) who has blue eyes. The odds of that happening were 9%. So my baby's 33.3% chance of having blue or green eyes is looking much better!