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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)

Sagot :

Answer:

0.513 = 51.3% probability of being a female.

Step-by-step explanation:

We are given the following formula:

[tex]P(F \cup C) = P(F) + P(C) - P(F \cap C)[/tex]

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:

[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C)[/tex]

We are given by:

[tex]P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548[/tex]

So

[tex]P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513[/tex]

0.513 = 51.3% probability of being a female.

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