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A Venn Pie chart is very intuitive and shows ratios better than Venn diagrams: http://oracleaide.wordpress.com/2012/12/26/a-venn-pie/

The challenge with Bayes' illustrations is to simultaneously.show 1) relations 2) ratios. The suggested approach works well. I am suggesting to combine Venn diagrams and Pie charts:

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

Happy New Year!