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Math Help - Voter Probability

  1. #1
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    Voter Probability

    Of all voters, 40% prefer conservatives and 60% prefer liberals. Of those voters who prefer conservatives, 30% are females. Of those who prefer liberals, 40% are female. What is the probability that a randomly selected voter prefers conservatives, given that the person selected is female?

    I'm lost
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  2. #2
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    Quote Originally Posted by JJ007 View Post
    Of all voters, 40% prefer conservatives and 60% prefer liberals. Of those voters who prefer conservatives, 30% are females. Of those who prefer liberals, 40% are female. What is the probability that a randomly selected voter prefers conservatives, given that the person selected is female?

    I'm lost
    Pr(C | F) = Pr(F and C)/Pr(F).

    Pr(F) = (0.3)(0.4) + (0.4)(0.6) = .....

    Pr(F and C) = (0.3)(0.4) = ....

    Therefore ....
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