(bit of) luck vs providence

(bit of) luck

providence

noun
  • A manifestation of divine care or direction; an instance of divine intervention. 

  • Specifically, the prudent care and management of resources; thriftiness, frugality. 

  • The careful governance and guidance of God (or another deity, nature etc.). 

How often have the words (bit of) luck and providence occurred in a corpus of books? (source: Google Ngram Viewer )