Answer :
Let
X=functional (affected),
x=unaffected
Haemophilia is an X-linked recessive disease, hence
For females, it takes XX to have the disease, and Xx will be a carrier.
For males, it take Xy to have the disease, and therefore cannot be a carrier.
Punnett square 1
(father has haemophilia)
X X
X XX XX
y Xy Xy
=> both son and daugher have haemophilia
Punnett square 2
(father does not have haemophilia)
X X
x Xx Xx
y Xy Xy
=> daughter is carrier, but son has haemophilia
Comments on outcomes where the mother has haemophilia, it means that both X chromosomes are affected:
If the father has haemophilia (case 1) daughter and son will always have haemophilia.
If the father does not have haemophilia, (case 2) daughter will always be a carrier, since X is recessive in the presence of x.
However, since the father passed on the y-gene to the son, the x-gene must come from the mother resulting in X-y. Since there is no x-gene to suppress the expression, haemophilia will be expressed in the son.
In conclusion, the son of a mother with haemophilia (XX) will ALWAYS have haemophilia, therefore probability is 100%.
X=functional (affected),
x=unaffected
Haemophilia is an X-linked recessive disease, hence
For females, it takes XX to have the disease, and Xx will be a carrier.
For males, it take Xy to have the disease, and therefore cannot be a carrier.
Punnett square 1
(father has haemophilia)
X X
X XX XX
y Xy Xy
=> both son and daugher have haemophilia
Punnett square 2
(father does not have haemophilia)
X X
x Xx Xx
y Xy Xy
=> daughter is carrier, but son has haemophilia
Comments on outcomes where the mother has haemophilia, it means that both X chromosomes are affected:
If the father has haemophilia (case 1) daughter and son will always have haemophilia.
If the father does not have haemophilia, (case 2) daughter will always be a carrier, since X is recessive in the presence of x.
However, since the father passed on the y-gene to the son, the x-gene must come from the mother resulting in X-y. Since there is no x-gene to suppress the expression, haemophilia will be expressed in the son.
In conclusion, the son of a mother with haemophilia (XX) will ALWAYS have haemophilia, therefore probability is 100%.