Question

Find the indicated complement . A certain group of women has a 0.28% rate of redgreen color blindnessIf a woman is randomly selected, what is the probability that she does not have red/green color blindness?

Answer 1

99.72%

Explanation:

• Given:, The rate of red/green color blindness = 0.28%

,

• To find:, The probability that a randomly selected woman does not have red/green color blindness.

To find the required probability, recall that the sum of the probability of an event and its complement is always 1. That is:

`\begin{gathered} P(A)+P(A^c)=1 \\ \implies P(A^c)=1-P(A) \end{gathered}`

Let A be the event that an individual has red/green color blindness.

`P(A)=0.28\%`

Therefore, the probability that a randomly selected woman does not have red/green color blindness will be:

`P(A^c)=(100-0.28)\%=99.72\%`

The required probability is 99.72%.