chance vs draw a line in the sand

chance

verb
  • To try or risk. 

  • To discover something by chance. 

  • 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. 

draw a line in the sand

verb
  • To lay down a challenge; to provide a test of commitment (often one which carries a high risk) to a cause. 

  • To create a real or artificial boundary or distinction between (two places, people or things). 

  • To indicate the threshold or level above which something will become unacceptable or will provoke a response; to create a boundary and imply or declare that its crossing will provoke a (negative) response. 

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