fighting chance vs long shot

fighting chance

noun
  • A chance that is dependent on success in a struggle, with the implication that such success is not unattainable. 

long shot

noun
  • Something unlikely; something that has little chance of happening or working. 

  • A master shot, the primary wide shot of a scene into which the closeups will be edited later. 

  • A shot fired at a distant target. 

How often have the words fighting chance and long shot occurred in a corpus of books? (source: Google Ngram Viewer )