bad egg vs ne'er-do-well

bad egg

noun
  • Someone whose behaviour is reprehensible or irresponsible; a rogue. 

  • An egg that has gone bad; a rotten egg. 

ne'er-do-well

noun
  • A person who is up to no good; a rogue. 

  • A person without a means of support; an idle, worthless person; a loafer; a person who is ineffectual, unsuccessful, or completely lacking in merit; a good-for-nothing. 

adj
  • Showing the characteristics of a ne'er-do-well: indolent, worthless, or roguish. 

How often have the words bad egg and ne'er-do-well occurred in a corpus of books? (source: Google Ngram Viewer )