chance vs take a crack at

chance

verb
  • To try or risk. 

  • To discover something by chance. 

  • To rob, cheat or swindle someone. 

noun
  • probability; possibility. 

  • The probability of something happening. 

  • An opportunity or possibility. 

  • Random occurrence; luck. 

adj
  • Happening by chance, casual. 

take a crack at

verb
  • To attempt or try. 

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