Chrome runs entirely under the user profile, installs under the user profile, and installs updates under the user profile. Does not require "root access" or any admin privileges to run, update, or install. Your entire +3 post is based on rubbish.
Firefox does require admin rights to run, because it's an insecure turd.
Quite correct sir! I wish more people would read your comment.
Never trust a computer you can't repair yourself.