Ranked by relevance and common usage.
Keep "stochastically" when the sentence already sounds natural, when a synonym would add unintended emphasis, or when readers need the most familiar wording. A synonym should clarify or sharpen the message, not simply make the sentence look more varied.
If two options seem close, choose the one that best matches the audience and purpose of the sentence.
Choose a synonym only if it keeps the core idea of "stochastically" intact in the sentence you are editing.
Check whether the replacement sounds more formal, casual, emotional, technical, or forceful than the original word.
Read the full sentence after the swap. Keep the synonym only when the sentence becomes clearer or more precise.
Review note: Synonym lists are ranked with lexical data and reviewed for practical writing value. Use the comparison notes, sentence evidence, and source labels together; a high-ranking synonym can still be wrong when the audience, register, or grammar changes.
After choosing a replacement for "stochastically", read the sentence once for meaning and once for rhythm. The best synonym should feel natural in the full sentence, not only accurate in a word list.
If the synonym makes the sentence slower, vaguer, or more dramatic than intended, keep "stochastically" or choose a simpler alternative from the closest-match group.
3 total sentences available.
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
Closest matches include aimlessly, at random, haphazardly.
Compare the replacement against real sentence context. This entry includes sample sentences so you can check tone, grammar, and meaning before swapping words.