filtering

All:
I have created a "Calendar" view that is populated by a content type called "Event," which includes a field "Event Type." There are 2 types of events, public and private. I want my Calendar view to filter out private events for anonymous users/visitors to the site while still displaying the public ones. I want both the public and private Events to display for authenticated users. I have been playing with Filter Criteria and Contextual Relationships, but cannot seem to get the right combination to work. How do I make this happen?

Thanks in advance!
TV