chance vs prove out

chance

verb
  • To discover something by chance. 

  • To try or risk. 

  • To rob, cheat or swindle someone. 

adj
  • Happening by chance, casual. 

noun
  • probability; possibility. 

  • The probability of something happening. 

  • An opportunity or possibility. 

  • Random occurrence; luck. 

prove out

verb
  • To demonstrate the feasibility of; to show or be shown to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

  • To turn out to be feasible, accurate, true, satisfactory, as expected, hoped, stated, etc. 

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