go out on a limb vs push one's luck

go out on a limb

verb
  • To take a risk. 

  • To hazard a guess. 

push one's luck

verb
  • To take an excessive risk or to attempt some task unlikely to succeed, especially after having already been unexpectedly lucky. 

How often have the words go out on a limb and push one's luck occurred in a corpus of books? (source: Google Ngram Viewer )