in that case vs though

in that case

adv

  • If that is the way things are, if that's the case. 

though

adv

  • Despite that; however. 

  • Used to intensify statements or questions; indeed. 

conj

  • Despite the fact that; although. 

How often have the words in that case and though occurred in a corpus of books? (source: Google Ngram Viewer )