To believe in luck or chance as explanations, is to deny God's shaping of this world and our lives by creation - it is therefore, indirectly, a denial of faith.
Yet this eschewal of luck itself requires some explanation; because this reality in which we dwell originated in purposeless, meaningless chaos; and this mortal life is 'ruled by entropy' such that change, degeneration, corruption and death are unavoidable - and it is from-this entropic-chaos that Jesus delivered us by resurrection to eternal life.
Therefore, in this mortal world 'stuff happens', and much of this is out-with God's creative intent...
But that which happens from entropy, does so without meaning, and is not knowable. All that we know - all 'events' - are known because this is God's creation.
By the time we recognize any-thing (as an entity, as a phenomenon) it 'already' has meaning, and that meaning has-been shaped by God's creating.
In other words, we cannot know chaos - but can only know only creation; and therefore chance is never the explanation for whatever we know, whatever we have noticed.
What this means is that we should suppose that whatever happens in our lives has-been shaped by God - and therefore is a part-of God's overall plan of salvation and theosis.
This does not mean that every-thing has specific, definable, meaning or purpose when considered in isolation and detached from the stream or arc of our lives; but instead that we should eschew the false and lazy attribution of events to 'randomness' - and realize that what we, personally, need to seek is to learn from 'whatever happens'.
Such learning is, indeed, our primary duty in confronting the life of this world. Learning from all aspects: up or down, good or bad, favourable or adverse...
This 'learning' is always our duty (as Christians); whereas, by contrast, 'doing something useful about the world' - i.e. ameliorating the evils of the human condition, is a contingent matter; variably dependent upon many and diverse factors - and seldom possible in practice.
In sum: we are here to learn, always; but the business of actually, genuinely, positively-re-shaping and improving the situation of this mortal world - whether of our own well-being, or that of fellow men...
Well, this is a rare bonus in our mortal lives - and inevitably very secondary to our duty.
(In Heaven, of course, things will be very different! And actually, genuinely, positively-re-shaping and improving the situation of our lives and the lives of all Beings, by participation in divine creation, becomes our inwardly-desired and joyfully-embraced main-work!)