Huntington\'s disease is an inherited autosomal dominant disorder that can affect both men and women. Imagine a couple has had seven children, and later in life, the husband develops Huntington\'s disease. He is tested and it is discovered he is heterozygous for the disease allele, Hh. The wife is also genetically tested for the Huntington\'s disease allele, and her test results show she is unaffected, hh. A.) What is the percent probability that the first child of this couple will have Huntington\'s disease? B.) What is the probability that any six of the seven children will have Huntington\'s disease?

Respuesta :

Answer:

a) probability that the first child of this couple will have Huntington's disease is 1/2 = 50%

b) probability that any six of the seven children will have Huntington's disease is 0.05468  ( 5.468% )

Step-by-step explanation:

a)

Given that;

Hh ( diseased father) and hh (normal)

         H   h

h Hh hh

h Hh hh

therefore Hh ⇒ 2 and hh ⇒ 2

so here we can see that chances of getting Huntington's disease is 1 : 1

so probability that the first child of this couple will have Huntington's disease is 1/2 = 50%

b)

probability that 6 out of the 7 children will have Huntington's disease;

we use the expression

<P> = (n! / (S! × t!)) × p^S × q^t

where n! is total number of children factorial

S! is diseased number of children factorial

t! is healthy number of children factorial

p is probability of diseased children

q is probability of healthy children

so we substitute

<P> =  (7! / (6! × 1!)) × 1/2^6 × 1/2^1

= (7 × 6! / (6! × 1!)) × 1/2⁶ × 1/2

= 7 × 1/64 × 1/2

= 0.05468

probability that any six of the seven children will have Huntington's disease is 0.05468  ( 5.468% )

     

The Huntington's disease.

As per the question, the disease is a rare inherited disease that is caused by the breakdown of the nerve cells of the brain. The disease has a broad impact on functional abilities and usually results in movement, thinking, and other disorders.

Thus the answer is the chance of the disease to a child is about 50% as it starts at age of 30 to 40. The chances of six children are 5.4%.

  • The disease is an inherited aspect of the body genes and the disorder s created is due to the diseases allele is heterozygous
  • The results shows that the chances of the first child to have this disease will be 1/2 that is 50% and the chances if any six people out of seven that have this disease is about 5.46%

Learn more about Huntington's disease.

brainly.com/question/8935079.