Concept:
Haemophilia is an X-linked recessive disorder. The defective gene is present on the X chromosome. Males are more commonly affected because they possess only one X chromosome.
Step 1: Representing the parental genotypes.
Carrier mother:
\[
X^H X^h
\]
Normal father:
\[
X^H Y
\]
where
\[
X^H = \text{Normal allele}
\]
\[
X^h = \text{Haemophilia allele}
\]
Step 2: Constructing the genetic cross.
\[
X^H X^h \times X^H Y
\]
Possible offspring:
\[
X^H X^H
\]
Normal daughter
\[
X^H X^h
\]
Carrier daughter
\[
X^H Y
\]
Normal son
\[
X^h Y
\]
Haemophilic son
Step 3: Calculating probability.
Out of four equally probable offspring combinations, only one is haemophilic.
\[
\text{Probability}
=
\frac{1}{4}
=
25%
\]
Hence, the probability that a child will be haemophilic is 25%.