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Thread: Venn's diagram confusion

  1. #1
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    Venn's diagram confusion

    It's given that the total probability of event b =P(B)

    If A1 , A2 ... An are mutually exclusive and exhaustive events , then probability of B =

    P(B) = P(A1) x P(B | A1) + P(A2) x P(B | A2) + P(A3) x P(B | A3) + .......... P(An) x P(B | An)

    IS it correct if i represent them in this Venn's diagram ?
    Venn's diagram confusion-691.png

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  2. #2
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    Re: Venn's diagram confusion

    Events are collectively exhaustive when the union of mutually exclusive events is equal to the entire sample space.

    Something like this would be appropriate: http://slideplayer.com/slide/1626151...robability.jpg
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  3. #3
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    Re: Venn's diagram confusion

    Quote Originally Posted by xl5899 View Post
    It's given that the total probability of event b =P(B)

    If A1 , A2 ... An are mutually exclusive and exhaustive events , then probability of B =

    P(B) = P(A1) x P(B | A1) + P(A2) x P(B | A2) + P(A3) x P(B | A3) + .......... P(An) x P(B | An)

    IS it correct if i represent them in this Venn's diagram ?
    It is more like this.
    Venn's diagram confusion-u4.gif
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  4. #4
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    Re: Venn's diagram confusion

    Quote Originally Posted by Plato View Post
    It is more like this.
    Click image for larger version. 

Name:	U4.gif 
Views:	5 
Size:	3.3 KB 
ID:	38109
    An ellipsis in a Venn Diagram -- I see something new every day I like!
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