Solve the Problem $\frac { 1 } { 2 } \text {. }$

question 94

Multiple Choice

Solve the problem.
-In a certain population, the probability that a woman has red hair is $\frac { 1 } { 2 } \text {. }$ If a woman has red hair, the probability of her having freckles is $\frac { 5 } { 9 }$ If she does not have red hair, the probability of her having freckles is $\frac { 1 } { 10 } .$ If a woman is chosen at random from the population, what is the probability that she will have freckles?

• A) \(\frac { 59 } { 180 }\)
• B) \(\frac { 1 } { 20 }\)
• C) \(\frac { 1 } { 4 }\)
• D) \(\frac { 17 } { 45 }\)

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