luck vs providence

luck and providence both are nouns.

Word	Noun	Adjective	Verb	Adverb
luck	Yes	No	No	No
providence	Yes	No	No	No

As nouns, providence is a hyponym of luck; that is, providence is a word with a more specific, narrower meaning than luck:

luck: your overall circumstances or condition in life (including everything that happens to you)
providence: a manifestation of God's foresightful care for his creatures

Other hyponyms of luck include good fortune, good luck, luckiness, bad luck, ill luck, misfortune, tough luck, failure.

luck (noun)	providence (noun)
an unknown and unpredictable phenomenon that causes an event to result one way rather than another	the guardianship and control exercised by a deity
an unknown and unpredictable phenomenon that leads to a favorable outcome	the prudence and care exercised by someone in the management of resources
your overall circumstances or condition in life (including everything that happens to you)	a manifestation of God's foresightful care for his creatures