dismiss vs thumb one's nose at

dismiss

verb
  • To get a batsman out. 

  • To give someone a red card; to send off. 

  • To reject; to refuse to accept. 

  • To order to leave. 

  • To invalidate; to treat as unworthy of serious consideration. 

  • To send or put away, to discard with disregard, contempt or disdain. (sometimes followed by as). 

  • To discharge; to end the employment or service of. 

  • To dispel; to rid one’s mind of. 

thumb one's nose at

How often have the words dismiss and thumb one's nose at occurred in a corpus of books? (source: Google Ngram Viewer )