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Math Help - Probability problem

  1. #1
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    Probability problem

    suppose candidate A receives 54% of the entire vote, but only 48% of the female vote. A voter is selected at random for an interview. What is the probability that the voter is a woman who voted for candidate A?
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  2. #2
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    Quote Originally Posted by ragger33 View Post
    suppose candidate A receives 54% of the entire vote, but only 48% of the female vote. A voter is selected at random for an interview. What is the probability that the voter is a woman who voted for candidate A?
    You can write a formula involving the population of voters.

    P=\frac{0.48W}{M+W}=\frac{0.48(0.54)W}{M_A+W_A}

    where the subscript "A" indicates those who voted for Candidate A.

    \frac{M_A+W_A}{M+W}=0.54

    \frac{W_A}{W}=0.48

    \frac{0.48W}{W+M}=0.48W\frac{0.54}{M_A+W_A}<br />

    Different populations of men and women give different results..

    For instance, if there were 100 men and 100 women

    \frac{48}{100}+\frac{M_A}{100}=\frac{48+M_A}{200}=  \frac{54}{100}=\frac{108}{200}

    then M_A=60

    but

    \frac{0.48W}{W+M}=\frac{48}{200}=P

    If we change the number of men, the probability will change.
    If we change the number of women, the probability will change.
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