It's fascinating to see nerds weird out over people's inability to comprehend basic probability and statistics (which the human brain is innately bad at) while displaying a complete inability to understand other people (which the human brain is innately great at). And yes, I do it too sometimes.

Stop arguing about why the average person, or even the average powerful person, ought to have an excellent understanding of these things, and start exploring why they don't. You'll come out of it more informed.