1650s, from Latin fortuitus "happening by chance, casual, accidental," from forte "by chance," ablative of fors "chance" (related to fortuna; see fortune). It means "accidental, undesigned" not "fortunate." Earlier in this sense was fortuit (late 14c.), from French. Related: Fortuitously; fortuitousness.
word-forming element making abstract nouns from adjectives and meaning "condition or quality of being ______," from Middle English -ite, from Old French -ete (Modern French -ité) and directly from Latin -itatem (nominative -itas), suffix denoting state or condition, composed of -i- (from the stem or else a connective) + the common abstract suffix -tas (see -ty (2)).
Roughly, the word in -ity usually means the quality of being what the adjective describes, or concretely an instance of the quality, or collectively all the instances; & the word in -ism means the disposition, or collectively all those who feel it. [Fowler]
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Definitions of fortuity from WordNet
anything that happens suddenly or by chance without an apparent cause;