don't mention it vs you bet

don't mention it

phrase
  • A polite way of responding to thanks, by suggesting that the service is too trivial or humble to warrant thanks; you're welcome. 

  • Used other than figuratively or idiomatically: see don't, mention, it. 

you bet

intj
  • Expresses support, agreement, certainty or emphasis. 

  • Certainly, you're welcome; a reply to thank you or to a request. 

How often have the words don't mention it and you bet occurred in a corpus of books? (source: Google Ngram Viewer )