question archive In a certain population, the probability that a woman has red hair is 1/4

In a certain population, the probability that a woman has red hair is 1/4

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In a certain population, the probability that a woman has red hair

is 1/4. If a woman has red hair, the probability of her having freckles is 3/4. If she does not have red hair, the probability of her having freckles is 1/16 .
Find the following probabilities. Enter your final answers in percent notation rounded to the nearest tenth.
(a) If a woman is chosen at random from the population, what is the probability that she will have freckles? Hint: women may have freckles regardless of the color of their hair.
(b) If a woman will have freckles, what is the probability that she has red hair?

pur-new-sol

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