I dont think a tiger or space alien will be in your living room anytime in the future. The chances of that are zero.
However, there is a chance of someone forcing entry into your house to get into your living room. Although the chance is small, there is still a chance.
I recount a story that was told to me by an ex-girlfriend of being the victim of a home invasion incident. A group of three guys broke in and made the family get on the ground while they ransacked the place. The family was not hurt.
So, no, a tiger isnt coming to your living room, but someone else might...