To understand the probability of having a daughter with hemophilia in this scenario, we need to consider the genetic inheritance patterns for this condition.
Hemophilia is an X-linked recessive disorder. This means that the genes responsible for hemophilia are located on the X chromosome, and males who inherit one affected X chromosome (Xh) will express the disorder because they have only one X chromosome paired with a Y chromosome (Y). On the other hand, females have two X chromosomes, so a female must inherit two affected X chromosomes (XhXh) to express the disorder, while females with one affected (Xh) and one unaffected (X) X chromosome are considered carriers.
In this case, the female is a carrier (XhX) and the male has hemophilia (XhY). When they have children, we can represent the possible combinations of their X and Y chromosomes in a Punnett square.
The possible genetic combinations for their daughters are:
- From the mother (carrier): Xh or X
- From the father (affected): Xh
This leads to two possible combinations for their daughters:
- XhXh – Affected daughter (has hemophilia)
- X Xh – Carrier daughter (does not have hemophilia but is a carrier)
Therefore, the probability of having a daughter with hemophilia (XhXh) is 1 in 2 or 50%.
In conclusion, there is a 50% chance that the couple will have a daughter who is affected by hemophilia.