Phenylketonuria is an inherited disease caused by a recessive autosomal allele. If a woman and her husband are both carriers, what is the probability that their first child will be a phenotypically normal girl? Phenylketonuria is an inherited disease caused by a recessive autosomal allele. If a woman and her husband are both carriers, what is the probability that their first child will be a phenotypically normal girl?

A. 3/8
B. 1/4
C. 1/16
D. 3/16

Respuesta :

Answer:

The ans will be [tex]\frac{3}{8}[/tex]

Explanation:

As phenylketonuria is a recessive autosomal disease, and both the parents are carrier, so they both carry one defective gene and one good gene.

If they produced 4 children, the probability of diseased and non diseased child will be as follows.

diseased: [tex]\frac{1}{4}[/tex]

non diseased:  [tex]\frac{3}{4}[/tex]

And the probability of male and female child will be [tex]\frac{1}{2}[/tex].

So, the probability of phenotypically normal first girl child will be [tex]\frac{3}{4}[/tex] × [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{3}{8}[/tex]

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