Question

A) If P(A) = 0.03, find the probability of complement of A, P(A). B) A certain group of women has a 0.44% rate of red/ green color blindness. If a women is randomly selected, what is the probability that she does not have red/ green blindness?

Answer 1

Answer:

(A) The probability of the complement of event A is 0.97.

(B) The probability that a randomly selected women does not have red/ green color blindness is 0.9956.

Step-by-step explanation:

Complement of any event, say E, is the event of its not happening. For instance, If E = it rains then the complement of E is, E' = it does not rains.

(A)

It is provided that the probability of event A is, P (A) = 0.03.

Then the probability of complement of A is,

P (A') = 1 - P (A)

        = 1 - 0.03

        = 0.97

Thus, the probability of the complement of event A is 0.97.

(B)

The probability of a woman has red/ green color blindness is,

P (Color blindness) = 0.0044.

The probability that a randomly selected women does not have red/ green color blindness is,

P (No Color blindness) = 1 - P (Color blindness)

                                      = 1 - 0.0044

                                      = 0.9956

Thus, the probability that a randomly selected women does not have red/ green color blindness is 0.9956.