Statistics: What color is it?

If you ever pass by my house, come in without knocking. Tea is served at four, but you're welcome at any time.

I wish you to avoid death in a battle with a dragon, survive a fire and not die of a cold!

Your weak point is the Hobbit's color palette, obviously...

You've been racking your brains over this problem, so you almost broke it completely, but you haven't come up with any brilliant ideas...