fighting chance vs roll of the dice

fighting chance

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

roll of the dice

noun
  • A risky or uncertain attempt to do something, especially in an unfavourable situation. 

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