castoff vs hopeless

castoff

adj
  • discarded, rejected. 

noun
  • Something that has been rejected or discarded; a reject. 

hopeless

adj
  • Giving no ground of hope; promising nothing desirable; desperate. 

  • Without talent, not skilled. 

  • Incurable. 

  • Without hope; despairing; not expecting anything positive. 

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