Projects public by default

I just setup a project for some clients and I logged in with their account to test things out.  I was surprised to see a lot of projects whereas, I only granted access to one project for this user account. 
As it turned out, these projects were created with the "Public" option checked.  I went into each of these projects and unchecked the option.  I also went into the administrative function and set the default to false for the public option.  These will prevent this from occurring again.