Question

find the indicated complement
a certain group of women has a 0.11% rate of red/green color blindness. if a woman is randomly selected, what is the probability that she does not have red/green color blindness?

the probability that the woman selected does not have red/green color blindness is
(type an integer or a decimal. do not round.)

Explanation:

Step1: Recall the complement rule

The complement of an event \( A \) (denoted as \( \overline{A} \)) has a probability given by \( P(\overline{A}) = 1 - P(A) \), where \( P(A) \) is the probability of event \( A \). Here, event \( A \) is "having red/green color blindness" with \( P(A)=0.0011 \) (since \( 0.11\% = \frac{0.11}{100}=0.0011 \)).

Step2: Calculate the complement probability

Using the complement rule, we calculate \( P(\overline{A}) = 1 - 0.0011 \).
\( 1 - 0.0011 = 0.9989 \)

Answer:

\( 0.9989 \)