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c.1300, "something that takes place, what happens, an occurrence" (good or bad, but more often bad), from Old French cheance "accident, chance, fortune, luck, situation, the falling of dice" (12c., Modern French chance), from Vulgar Latin *cadentia "that which falls out," a term used in dice, from neuter plural of Latin cadens, present participle of cadere "to fall" (see case (n.1)).
In English frequently in plural, chances. The word's notions of "opportunity" and "randomness" are as old as the record of it in English and now all but crowd out the word's original notion of "mere occurrence." Main chance "thing of most importance" is from 1570s, bearing the older sense. The mathematical (and hence odds-making) sense is attested from 1778. To stand a chance (or not) is from 1796.
To take (one's) chances "accept what happens" (early 14c.) is from the old, neutral sense; to take a chance/take chances is originally (by 1814) "participate in a raffle or lottery or game;" extended sense of "take a risk" is by 1826.
late 14c., "to come about, to happen," from chance (n.). Meaning "to risk" attested from 1859. Related: Chanced; chancing.
(Luke 10:31). "It was not by chance that the priest came down by that road at that time, but by a specific arrangement and in exact fulfilment of a plan; not the plan of the priest, nor the plan of the wounded traveller, but the plan of God. By coincidence (Gr. sungkuria) the priest came down, that is, by the conjunction of two things, in fact, which were previously constituted a pair in the providence of God. In the result they fell together according to the omniscient Designer's plan. This is the true theory of the divine government." Compare the meeting of Philip with the Ethiopian (Acts 8:26, 27). There is no "chance" in God's empire. "Chance" is only another word for our want of knowledge as to the way in which one event falls in with another (1 Sam. 6:9; Eccl. 9:11).