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Math Help - Find P(smoking woman)

  1. #1
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    Find P(smoking woman)

    A city has 40% men and 60% women, 50% of the men are smoking, 30% of women are smoking. Find P(smoking woman).
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  2. #2
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    Re: Find P(smoking woman)

    Quote Originally Posted by razemsoft21 View Post
    A city has 40% men and 60% women, 50% of the men are smoking, 30% of women are smoking. Find P(smoking woman).
    Have you considered drawing a tree diagram? It should make the 1-step calculation very obvious.

    P(woman)=0.6

    P(if woman, smokes)=0.3

    Assume there are 100 people. Then, there are 40 men and 60 women. 30% of these 60 women smoke, out of the total 100. A quick calculation leads to 18 out of the 100 people being female smokers.
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  3. #3
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    Re: Find P(smoking woman)

    Thanks, this is understood, can you use the laws of Probability please ?
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    Re: Find P(smoking woman)

    Quote Originally Posted by razemsoft21 View Post
    Thanks, this is understood, can you use the laws of Probability please ?
    \mathcal{P}(W\cap S)=\mathcal{P}(S|W)\mathcal{P}(W).
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