come out of the closet vs tip one's hand

come out of the closet

verb
  • To tell others about one's homosexuality, bisexuality, transness, or any minority or disapproved-of identity, belief, preference, etc., where previously this had been kept secret. 

tip one's hand

verb
  • To inadvertently reveal any secret, particularly a secret that puts one at an advantage or disadvantage. 

  • In card playing, to accidentally reveal one's cards or hand. 

How often have the words come out of the closet and tip one's hand occurred in a corpus of books? (source: Google Ngram Viewer )