careless vs wrongheaded

careless

adj
  • Not giving sufficient attention or thought, especially concerning the avoidance of harm or mistakes. 

  • Not concerned or worried (about). 

wrongheaded

adj
  • Having an obstinately (persistently, stubbornly) perverse/erroneous opinion or judgement. 

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