When I was at university I worked for a while laying carpet. An elderly lady hired me to put down a white
wall-to-wall carpet in her bathroom. It was not one that could be rolled up. This was in the South (of the US).
Anecdote (which is not the singular of Data - Siehe auch: data is not the plural of anecdote - man soll...
-): While laying the carpet I sliced my hand on the carpet knife. Fortunately I was able to get my hand in the sink before any blood dripped onto the floor. When I asked for a Band-Aid,the lady's first question was, "You didn't get any blood on my carpet, did you?" Her second question was, "It isn't too severe, is it?"
Otherwise, most of the "carpeting" in bathrooms I've seen is simply a small mat or area rug that can easily be picked up and washed or scrubbed. I have a rubber-backed mat beside the tub/shower to help prevent slipping when I step out with wet feet.