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Math Help - Venn diagrams

  1. #1
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    Venn diagrams

    Hey guys

    I got a question with Conditional probability and i want to display this on a Venn diagram.

    Pr(A|B) = 1/3
    Pr(A|B') = 3/4
    Pr(B) = 2/5
    Pr(A'nB')=1/10

    Initially i used the rule and i got Pr(AnB) = 2/15

    but then i tried to do it on a Kanaugh map to test it, it seems to be wrong.

    can anyone please help?
    Last edited by mr fantastic; May 8th 2011 at 12:30 AM. Reason: Title.
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  2. #2
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    Quote Originally Posted by qwertyuiop View Post
    Hey guys

    I got a question with Conditional probability and i want to display this on a Venn diagram.

    Pr(A|B) = 1/3
    Pr(A|B') = 3/4
    Pr(B) = 2/5
    Pr(A'nB')=1/10 Mr F says: This value is NOT consistent with the above data.

    Initially i used the rule and i got Pr(AnB) = 2/15

    but then i tried to do it on a Kanaugh map to test it, it seems to be wrong.

    can anyone please help?
    Why would you use a Karnaugh table? A tree diagram is clearly the prefered approach because of the information given about the conditional probabilities. The answer of 2/15 is consistent with

    Pr(A|B) = 1/3
    Pr(A|B') = 3/4
    Pr(B) = 2/5
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  3. #3
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    so there's something wrong with the question ?
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  4. #4
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    Quote Originally Posted by qwertyuiop View Post
    so there's something wrong with the question ?
    Well, if Pr(A'nB')=1/10 is part of the question, then yes that would be the obvious conclusion from what I wrote earlier.
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