luck of the draw vs numbers game

luck of the draw

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

numbers game

noun
  • A lottery in which bettors attempt to guess which numbers will later be drawn randomly. 

  • The use of inappropriate statistics (numbers) to reflect a desired result (usually misleading). 

  • An activity that benefits from having many things to work with or on. 

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