Which of the following is a sex-linked character?

Select the incorrect statement with regard to haemophilia.

Given below are two statements:
Statement $I$: The son of a carrier woman has a $100$ percent chance of being colour blind.
Statement $II$: $A$ daughter of a carrier mother and a normal father will be $100$ percent colour blind.
In the light of the above statements,choose the correct answer from the options given below:

Pick out the correct statements.
$(1)$ Haemophilia is a sex-linked recessive disease.
$(2)$ Down's syndrome is due to aneuploidy.
$(3)$ Phenylketonuria is an autosomal recessive gene disorder.
$(4)$ Sickle cell anaemia is an $X$-linked recessive gene disorder.

If a colour-blind man marries a woman who is homozygous for normal colour vision,the probability of their son being colour-blind is

$A$ color-blind man marries a woman with normal vision,whose family has no history of color blindness. What is the probability that their daughter's children (grandsons and granddaughters) will be color-blind?