flukily vs fortuitously

flukily

adv
  • In a fluky way; with unexpected luck. 

fortuitously

adv
  • In a fortuitous manner; in a manner of happening by a lucky chance; luckily; fortunately. 

  • In a fortuitous manner; in a manner of happening by chance; coincidentally; accidentally. 

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