I am not this cautious about the steps from the first to the second floor. Well, I wasn't. I am now. On Sunday, I went upstairs to retrieve my daughters slippers (she asked for them) while wearing wool socks. Very slippery wool socks. I slipped maybe four steps from the top and slid all the way down. This time, multiple bruises, the biggest one being on my upper left arm. I was doing a really good flail trying to slow my descent but wasn't able to stop (the bruises were all a result of this flailing since I didn't fall any specific substantial distance through air onto a sharp corner).
On my list of things to do this week is to find someone who will install a carpet runner on the stairs. Because if I'm absent minded enough to forget to use the handrail AND wear slippery socks once, odds on, I'll do it again.