When I saw the post title I had my fingers crossed hoping "please be a paradox based on something from The Simpsons". Oh well... Interesting nonetheless
I think that Simpson's Paradox is: "You're damned if you do and you're damned if you don't."
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Thats not technically a paradox
</pedantic-nitpicky-internet-comment>
Wow, I completely missed that joke (when I originally read that section)