As a person with a bachelor's in math who dislikes statistics, it's the one field I know where "gotcha" problems are more common in reality than in class. And they are nasty problems. It takes a lot of education until you can confidently say what simplifications are justified for your situation. And a lot of professional statisticians like to flex on newcomers for simple mistakes.

You're right that some education would help people with everyday situations. It'd be nice if schools had intro to probability and statistics as the only required math course for all students. Even just covering fractions for probabilities, mean/median/mode, and then memorizing basic tricks or terms to look up on Wikipedia/Wolfram throughout life.