Inheritance of traits in humans is studied by analyzing the presence or absence of a trait in a family. This is then depicted as a chart showing different generations and indicating individuals who show the trait. The following is a pedigree for a rare genetic disorder representing parents (top row) and their three children.

The pedigree suggests that the genetic disorder could be either autosomal recessive or X-linked recessive.
The following statements were made about the genotypes (with respect to the gene responsible for the disorder) of the 5 individuals in this pedigree:
a. The mother is heterozygous.
b. The daughters could be either homozygous or heterozygous.
c. The daughters are only homozygous.
(I) Which of the above statement(s) is/ are correct if the genetic disorder is
i. Autosomal recessive ?
ii. X-linked recessive ?
(II) Assuming that both the parents carry the allele responsible for the disorder, what is the probability that the first daughter would carry the same allele?
(a) 1/4
(b) 2/4
(c) 1/3
(d) 2/3
(III) Assume that the trait is X-linked recessive. The affected son marries a woman who does not carry the allele for the disorder. When they have a child, what is the probability that child will carry the allele, if the child is a
i. Son
ii. Daughter