And that, my friend, is a form of statistical analysis. It isn't high level and real precise, but you are still analyzing the data you have and then determining what actions you need to take to reduce your likelihood of danger. You do take into account the "odds" of them actually happening, you just don't do it on a conscious level.
That conscious level bit is what gets people. I think a lot of people are thinking about charts and data plots and bell curves and going "What the...? I don't use statistics. These guys are crazy." We tend not to realize the amount of data our unconscious minds process, informing our conscious decisions, without any effort at all.
Still happily answering to the call-sign Peetza.
The problem, as you so eloquently put it, is choice.
He is no fool who gives what he can not keep to gain what he can not lose.
-Jim Eliott, paraphrasing Philip Henry.