likelihood vs luck of the draw

likelihood

noun
  • The probability that some fixed outcome was generated by a random distribution with a specific parameter. 

  • Likeness, resemblance. 

  • The probability of a specified outcome; the chance of something happening; probability; the state or degree of being probable. 

luck of the draw

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

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