> Much of the power of statistics is in common sense, amplified by appropriate mathematical tools, and refined through careful analysis.

I hate to be contrarian, but even though I have a degree in statistics, I feel like much of statistics/probability actually violates common sense. In fact, it's probably the most unintuitive field that I'm familiar with.

Many of the readers will probably be familiar with the Monty Hall problem or the Birthday problem, but imo, the entire field of statistics/probability is about equally unintuitive/violating of common sense.