Mario works at a government agency that has stiff security. He uses LastPass (a sponsor of the TWiT network) on his devices and wants to know if the government can see his data or his passwords? Leo says it's possible. They may have key loggers or screen readers that can see your activity and certainly monitor your online activity. He wouldn't be surprised if they have custom certificates that allow them to snoop, even if you're using encrypted security. But LastPass probably keeps Mario's activity safe.
But realize if you work at an agency that prevents you from bringing in your mobile phone, then it's almost certain they have enhanced monitoring and security.