likeliness vs luck of the draw

likeliness

noun
  • Likelihood, probability or chance of occurrence; plausibility or believability. 

  • The condition or quality of being probable or likely to occur. 

  • Likeness; similarity. 

  • Suitability; agreeableness. 

luck of the draw

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

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