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Thread: Conditional Probability Venn Diagram

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    Conditional Probability Venn Diagram






    I am having a very difficult time trying to determine how they got the probabilities shown in the Venn Diagram from the above information.

    I'm sure its something simple that I am overlooking, but I can't seem to figure it out. I have been trying to figure it out for an hour now and have had no luck.

    Would really appreciate if someone could show me how they got these probabilities.

    Thanks!!

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    Re: Conditional Probability Venn Diagram

    Start simple. I'm assuming you understand how to read the venn diagram. Given that, do you understand why the middle has .05 there?

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    Re: Conditional Probability Venn Diagram

    Yeah, sometimes Venn diagrams are confusing. Like when I try to make them. All those numbers in the diagram add up to 1, so it seems clear to me that what you see is what you get.

    Be aware that people who read A may also read B and/or C. So you can't just put .14 in the A circle. All the pieces of the A circle do add up to .14 though.

    If you're wondering where to start in making one yourself, start with "A and B and C". Because those people cannot do anything else, so that .05 goes right into the diagram. Next you could go to "B and C"; those people may or may not also read A. But we know that .05 of the .13 has already been accounted for.

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    Re: Conditional Probability Venn Diagram


    In probability language, you merely need the following identity:

    P(A\backslash B) = P(A) - P(A \cap B)

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