It is strictly and philosophically true in nature and reason that there is no such thing as chance or accident; it being evident that these words do not signify anything really existing, anything that is truly an agent or the cause of any event; but they signify merely men's ignorance of the real and immediate cause.
Samuel Clark.

Any society into which chance might throw him.
Macaulay.

That power
Which erring men call Chance.
Milton.

By chance a priest came down that way.
Luke x. 31.

It was a chance that happened to us.
1 Sam. vi. 9.

The Knave of Diamonds tries his wily arts,
And wins (O shameful chance!) the Queen of Hearts.
Pope.

I spake of most disastrous chance.
Shak.

So weary with disasters, tugged with fortune.
That I would get my life on any chance,
To mend it, or be rid on 't
Shak.

* The mathematical expression, of a chance is the ratio of frequency with which an event happens in the long run. If an event may happen in a ways and may fail in b ways, and each of these a + b ways is equally likely, the chance, or probability, that the event will happen is measured by the fraction a/a + b, and the chance, or probability, that it will fail is measured by b/a + b.

Chance comer, one who comes unexpectedly. -- The last chance, the sole remaining ground of hope. -- The main chance, the chief opportunity; that upon which reliance is had, esp. self-interest. -- Theory of chances, Doctrine of chances (Math.), that branch of mathematics which treats of the probability of the occurrence of particular events, as the fall of dice in given positions. -- To mind one's chances, to take advantage of every circumstance; to seize every opportunity.

If a bird's nest chance to be before thee.
Deut. xxii. 6.

I chanced on this letter.
Shak.

Often used impersonally] as, how chances it?

How chance, thou art returned so soon?
Shak.

Come what will, I will chance it.
W. D. Howells.