Question

Find the indicated complement. A certain group of women has a 0.85​% 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?

Answer 1

For this case we define the event A like this:

A= In a certain group of women one present​ red/green color blindness

And for this case we have the following probability

`P(A) = 0.0085` and that's equivalent to 0.85%

The complement rule on this case would be:

A' = In a certain group of women one NOT present​ red/green color blindness

And the probability associated to the complment is:

`P(A') =1-0.0085=0.9915` and that's equivalent to 99.15%

Explanation:

Previous concepts

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
`P(A)+P(A') =1`

Solution to the problem

For this case we define the event A like this:

A= In a certain group of women one present​ red/green color blindness

And for this case we have the following probability

`P(A) = 0.0085` and that's equivalent to 0.85%

The complement rule on this case would be:

A' = In a certain group of women one NOT present​ red/green color blindness

And the probability associated to the complment is:

`P(A') =1-0.0085=0.9915` and that's equivalent to 99.15%