luck out vs prosper

luck out

verb
  • To experience great luck; to be extremely fortunate or lucky. 

  • To be unfortunate or unlucky; to run out of luck. 

prosper

verb
  • To be successful; to succeed; to be fortunate or prosperous; to thrive; to make gain. 

  • To grow; to increase. 

  • To favor; to render successful. 

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