bat a thousand vs give it one's best shot

bat a thousand

verb
  • To achieve success at each attempt. 

  • To have identical outcomes with each attempt. 

  • To achieve perfection. 

  • To reach first base on every at-bat. 

give it one's best shot

verb
  • To make one's best effort or attempt; to try as hard as possible. 

How often have the words bat a thousand and give it one's best shot occurred in a corpus of books? (source: Google Ngram Viewer )