chance vs luck of the draw

chance

noun
  • Random occurrence; luck. 

  • probability; possibility. 

  • The probability of something happening. 

  • An opportunity or possibility. 

verb
  • To try or risk. 

  • To discover something by chance. 

  • To rob, cheat or swindle someone. 

adj
  • Happening by chance, casual. 

luck of the draw

noun
  • The random production of favorable or unfavorable results; chance. 

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