Stochastically

That is when we have no clear and distinct conception of the truth of a proposition (which is the knowledge of it and can never be false) we may notwithstanding, extend our assents further and judge stochastically, that is opine, this way or that way concerning it, and that sometimes with a great deal of confidence and assurance too.

Source: wiktionary

In the table the scores from group A are stochastically smaller than those for B, C, or D because group A always has at least as many scores at or below a particular number as any of the other groups. Similarly, the scores from group B are stochastically smaller than those from group C.

Source: wiktionary

In still other cases, the state of the system is stochastically determined or else assumed to be stochastically determined, that is, determined by a random factor.

Source: wiktionary