luck vs luck of the draw

luck

noun
  • The results of a random number generator. 

  • A superstitious feeling that brings fortune or success. 

  • Success. 

  • Something that happens to someone by chance, a chance occurrence, especially a favourable one. 

verb
  • To find something through good fortune; used with into, on, onto or upon. 

luck of the draw

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

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