trial and error

What the lay man(woman) calls "trial and error", a scientist as in an economist or mathematician or physicist would call "statistically".

Both accomodate 'probablity'; the chances of success and failure are more or less equal, which is why it is called 'trial and error'.
If by chance you can be successful, and so you try by trial and error.

But a scientist though he/she would mean "trial & error" will prefer to render the same as 'statistically' simply because there is sometimes an erudition elicited to understand the banal.