To be fair to the above poster: probability and statistics definitely does need calculus and other math beyond an introductory level. And you see that gap when you read social sciences work applying statistics and making rudimentary, and requiring insight otherwise, mistakes.

Beyond introductory level both probability and statistics have a lot of "counterintuitive" pre-probability and statistics results, that also explain a lot of the misconceptions the public faces in not understanding the notions.

Probability and statistics are topics that our democracies would be better of if people understood them: then they would understand perhaps topics like polling, and we wouldn't perhaps have misuse of the topics in Court like Sally Clark's case: https://en.wikipedia.org/wiki/Sally_Clark

[But I guess we would have to drop lotteries as a taxation system also. [/s]]