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## Bayes’ Theorem Visualization by Venn Diagram

Almost all of the math books only give logical explanations of Bayes’ Theorem. Sometimes it is hard to intuitively understand how it comes . I’m trying to visualize the theorem by Venn diagram. Actually, it is a very simple concept. I don’t understand why don’t these math book authors put such a picture into book to help people understand, or they don’t want their book appears easy? I took probability courses in high school, undergrad and grad, but I’ve never seen a similar approach to elaborate this problem.

Bayes’ Theorem

There are several events are mutually exclusive and divide universal space S into several parts.

We assume event B occurs when happen.

Assume we already know and , then we can get .

is a priori,

is a posteriori.

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Categories: My Original Post

I like the idea (and colours).

I came up with a Venn Pie Chart – a pie chart with overlapping sectors – to show raios between sets:

http://oracleaide.wordpress.com/2012/12/26/a-venn-pie/