Question

certain congenital conditions are polygenic in nature. typically, the chance that an offspring will be born with a polygenic condition is small. however, once an offspring is born with the condition, the probability that future offspring of the same parents will be born with the same condition increases. assume that the probability of a child being born with condition a is 0.004. if a child is born with this condition, the probability of a future child being born with the same condition becomes 0.03.

are the events of the births of two children in the same family with condition a independent?

yes
no

a couple plans to have one child. determine the probability that the child will be born with this condition.
0.004 (type an integer or a decimal.)

another couple plans to have two children. determine the probability that both children will be born with the condition.
(type an integer or a decimal.)

Explanation:

Identify the given probabilities

Using the Conditional Probability and Dependent Events knowledge points

$$
LATEXBLOCK0
$$

Apply the multiplication rule for dependent events

Using the Dependent Events and Conditional Probability knowledge points

$$
LATEXBLOCK1
$$

Answer:

Another couple plans to have two children. Determine the probability that both children will be born with the condition.
<blank>0.00012</blank> (Type an integer or a decimal.)