back to the wall vs hopeful

back to the wall

noun
  • A very difficult situation with no beneficial options available for action. 

hopeful

adj
  • inspiring hope 

  • feeling hope 

noun
  • Someone who is hoping for success or victory, especially as a candidate in a political election. 

How often have the words back to the wall and hopeful occurred in a corpus of books? (source: Google Ngram Viewer )