Question Details

Cystic fibrosis is an autosomal recessive genetic disorder. What are the chances that the child would have the disease if any one of the parent (either mother or father)is a carrier of the faulty cystic fibrosis gene (Cc)?

Options

A

0 per cent

B

25 per cent

C

50 per cent

D

100 per cent

Correct Answer :

0 per cent

Solution :

The correct option is 0 per cent.

To understand why the chance of the child having cystic fibrosis is 0%, we can analyze the genetics of the disease step-by-step:

1. Understanding Autosomal Recessive Inheritance
Cystic fibrosis is an autosomal recessive disorder. This means that a person must inherit two copies of the faulty gene (one from each parent) to actually develop the disease. Let us denote:
- C as the normal allele (dominant)
- c as the faulty allele (recessive)

For a child to have cystic fibrosis, their genotype must be homozygous recessive (cc).

2. Analyzing the Parents' Genotypes
The question specifies that only one of the parents (either the mother or the father) is a carrier of the faulty gene. A carrier is heterozygous, meaning they have one normal allele and one faulty allele:
- Carrier Parent Genotype: Cc
Because the other parent is not mentioned as a carrier or affected, they are assumed to have two normal alleles (homozygous dominant):
- Non-carrier Parent Genotype: CC

3. Determining the Offspring Genotypes Using a Punnett Square
When we cross a carrier parent (Cc) with a normal parent (CC), the possible genetic combinations for their children are:
- Parent 1 (Cc) can contribute either a C or a c allele.
- Parent 2 (CC) can only contribute a C allele.

This results in the following possible offspring genotypes:
- 50% chance of inheriting CC (completely normal, non-carrier)
- 50% chance of inheriting Cc (unaffected carrier)

Conclusion
Since none of the offspring can inherit two copies of the faulty allele (cc), there is a 0% chance that the child will have the disease. Therefore, the chance that the child would have the disease is 0 per cent.

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