bite the hand that feeds one vs shoot oneself in the foot

bite the hand that feeds one

verb
  • To cause harm to a benefactor (especially one that one is dependent on, thus with the idea that this behaviour is self-damaging). 

shoot oneself in the foot

verb
  • To act against one's own interests; to unintentionally behave self-destructively. 

How often have the words bite the hand that feeds one and shoot oneself in the foot occurred in a corpus of books? (source: Google Ngram Viewer )