supposing vs though

supposing

conj
  • if hypothetically (optionally followed by that) 

noun
  • The act of making a supposition. 

though

conj
  • Despite the fact that; although. 

adv
  • Used to intensify statements or questions; indeed. 

  • Despite that; however. 

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