Brown eye genes is dominant vs. blue eye genes. A person inherits one factor from each parent with equal probability. If both my parents and I have brown eyes and my brother and my wife have blue eyes, what is the probability that my child has blue eyes?
2026-04-12 04:44:59.1775969099
Eye colour genetics.
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Let's set the recessive genes as $r$ and Dominant as $R$. If both your parents have brown eyes but you brother has blue eyes, then both of your parents have to be $Rr$. Drawing a punnet square, you have a $\frac{2}{3}$ chance of being $Rr$ and a $\frac{1}{3}$ chance of being $RR$.
Your wife has $rr$ genes, as she has blue eyes. If you have $Rr$ genes, then your child has $\frac{1}{2}$ chance of having blue eyes, whereas if you have $RR$ genes, you have $0$.
Adding these cases, you get: $$\frac{2}{3}\cdot \frac{1}{2} + \frac{1}{3}\cdot 0 = \boxed{\frac{1}{3}}$$