raw deal vs short end of the stick

raw deal

noun
  • A situation in which a person is taken advantage of or treated unfairly; a situation in which a person is led to expect something, but receives nothing or much less than expected. 

short end of the stick

noun
  • A situation, opportunity, or outcome which is less favorable than situations, opportunities, or outcomes experienced by or available to others. 

How often have the words raw deal and short end of the stick occurred in a corpus of books? (source: Google Ngram Viewer )