miss out vs shut out

miss out

verb
  • To leave out, to omit. 

  • To miss an experience or lose an opportunity, etc. that should not be missed. 

shut out

verb
  • To prevent from entering; to block or exclude. 

  • To prevent from scoring; to perform a shutout. 

  • To hide from sight. 

  • To refuse to be open and vulnerable toward. 

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