In a family, a man with hemophilia, a genetic disorder where blood doesn't clot properly, marries a woman who is a carrier of the gene but does not express the disorder. What is the probability that their son will have hemophilia?
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Hemophilia is an X-linked recessive disorder. In such disorders, sons inherit their X chromosome from their mother and the Y chromosome from their father.
Step 1: Genetic inheritance of hemophilia.
Hemophilia is an X-linked recessive disorder. The man with hemophilia has the genotype \(X^hY\), while the woman who is a carrier has the genotype \(X^HX^h\).
Step 2: Genetic cross.
The possible combinations of offspring are determined using a Punnett square:
\[
\begin{array}{c|c|c}
& X^h & Y
\hline
X^H & X^HX^h & X^HY
X^h & X^hX^h & X^hY
\end{array}
\]
From the cross:
\(X^HY\): Normal son.
\(X^hY\): Son with hemophilia.
\(X^HX^h\): Carrier daughter.
\(X^hX^h\): Daughter with hemophilia.
Step 3: Probability of a son with hemophilia.
Half of the male offspring (\(X^hY\)) will have hemophilia. Thus, the probability is:
\[
\text{Probability} = \frac{1}{2} = 50\%.
\]
\[
\therefore \text{The correct answer is: 50\%.}
\]