The recessive gene for hemophilia resides on the X chromosome. A healthy woman with a brother with hemophilia married

The recessive gene for hemophilia resides on the X chromosome. A healthy woman with a brother with hemophilia married a healthy man. They had a child with hemophilia. What is the likelihood that the second child will be hemophilic?

x-hemophilia (because it is said that it is recessive)
X- normal blood
The woman’s genotype will be Xx
Since her brother has hemophilia
Male genotype XX, because he is healthy
Parents: ♀️Xx * ♂️XX
Gametes: X x and X
Generation 1: XX (healthy) and XX (hemophilic)
So the probability of having a second child with hemophilia is 50%