I think Enrico Fermi had it right. We should have seen something by now. It makes us rare and special.
For a long time, I thought surely these probabilities must basically be zero, due to the sheer amount of dice that can be rolled (tons of space + tons of time), but after hearing a lot of smart people talk about it, I think all of these things do carry a non-zero possibility.
Of course, we'll probably never know, though. There could be some galaxy clusters teeming with life and visible structures but they could be so incredibly far away from us that they basically don't exist from our perspective, and vice versa.