long shot vs odds

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. 

odds

noun
  • The ratio of the probability of an event happening to that of it not happening. 

  • I'd say the odds are strongly in favor of the sun rising tomorrow morning. 

  • An advantage given to a weaker opponent in order to equalize the game when playing casually, usually by removing one of the stronger player's pieces or by giving the weaker player more time. 

  • The ratio of winnings to stake in betting situations. 

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