probability of having normal daughter
I can't understand what you mean by "Should the probability of having a daughter be multiplied?" But yes, the probability of having a normal daughter is 0.25, but she will be a carrier like her mother.

Let H represent normal allele for blood clotting (dominant); h represent allele for hemophilia, XY represent the male chromosomes and XX represent the female chromosomes.

Parental Phenotypes : 

   Normal female(carrier) x Hemophiliac male


Parental Genotypes (2n) :

   X(H)X(h)         x     X(h)Y


Gametes (n) :   

   X(H)     X(h)    x   X(h)     Y


Possible Outcomes :

X(H)X(h) - A normal female, carrier.

X(H)Y    - A normal male.

X(h)X(h) - A hemophiliac female.

X(h)Y    - A hemophiliac male.

So probability of having a normal daughter, that is X(H)X(h) is 0.25.