Category not showing up

OK sorry, i just needed to have a post in there to get it to show up. But i have another question now. I noticed by default, posts in both categories are shown at the same time. When people visit my blog, i want them to see only the “public” entries, as i plan to password the private ones. How do i do that?

Hmm this seems harder then i thought. All i want to do is make a “private” category where friends have to enter a password to view entries. (and just ONE password to read all the “private” posts, not a password for each post)
Is that even possible?