plight vs problem

plight

noun
  • A dire or unfortunate situation. 

  • Blame; culpability; fault; wrong-doing; sin; crime. 

  • One's office; duty; charge. 

  • Responsibility for ensuing consequences; risk; danger; peril. 

  • An instance of danger or peril; a dangerous moment or situation. 

verb
  • To promise (oneself) to someone, or to do something. 

  • Specifically, to pledge (one's troth etc.) as part of a marriage ceremony. 

problem

noun
  • A puzzling circumstance. 

  • A difficulty that has to be resolved or dealt with. 

  • A set of moves required to complete a climb. 

  • A question to be answered, schoolwork exercise. 

  • Objection. 

  • Difficulty in accepting or understanding or refusal to accept or understand. 

adj
  • Causing a problem; problematic; troublesome. 

  • Difficult to train or guide; unruly. 

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