Question

Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represent red-green color blindness.

P(C) = 0.039 P(F and C) = 0.004 P(F or C) = 0.548



2. Use the Addition Rule or the "OR" formula for probability, substitute the values given, and solve for the probability of a Female.

P(F or C) = P(F) + P(C) - P(F and C)

Answer 1

0.513 = 51.3% probability of being a female.

Explanation:

We are given the following formula:

`P(F \cup C) = P(F) + P(C) - P(F \cap C)`

In which:

Event F: Female

Event C: Red-green color blindness.

Probability of a Female

We have to find P(F), which is given by:

`P(F) = P(F \cup C) + P(F \cap C) - P(C)`

We are given by:

`P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548`

So

`P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513`

0.513 = 51.3% probability of being a female.