LATIN DICTIONARYLexicon Latīnum
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“possibility” in Latin

The English word possibility itself goes back to Latin possum, through possibilitās.

Riddle & Arnold A Copious and Critical English–Latin Lexicon, 1864

possibility
The property of being possible, possibilitas (late; to be employed only as philosophical technical term): conditio (a possible case; Cic., C. Rabir. perd., 5, 16): facultas or potestas aliquid faciendi (power of doing anything): aditus alicujus rei or aliquid faciendi, or ad aliquid faciendum (opportunity or permission given from without; Vid: Caes., B. C. 1, 31 and 74; B.G., 1, 43): locus alicujus rei or aliquid faciendi (occasion given by circumstances; e.g., locus nocendi; locus vituperandi; locus est amoris augendi). There is no possibility, nulla datur potestas. When “possibility” denotes the presence or existence of a thing, we must use a by circumlocution with esse posse; e.g., he denies the possibility of this idea, negat esse posse hanc notionem; so, also, when “possibility” denotes that a thing is capable of being accomplished, fieri or effici posse; e.g., they deny the possibility of a thing, aliquid fieri posse negant: not to perceive the possibility of a thing, non intelligere, aliquid fieri posse or qua ratione aliquid fieri posse: if there be any possibility, si potest (sc. fieri; Vid: POSSIBLE).
A possible thing, res, quae fieri potest.

Quick answer

What is the Latin word for possibility?
The usual Latin words for “possibility” are possibilitās, conditiō, facultās. The right choice depends on the sense; see the distinctions below.

Entry from J. E. Riddle & T. K. Arnold, A Copious and Critical English–Latin Lexicon (rev. C. Anthon, New York: Harper, 1864), digitised by Fergus J. P. Walsh, CC BY-SA 4.0; Latin markup adapted by latindictionary.co.