See times have changed. A full bathroom contains a sink with running water, a flush toilet, and a bath(tub) or shower. A half bathroom contains a toilet, or a bath or a shower. A bathroom no longer has to contain a bath. In the UK we would probably call the toilet & washbasin near the front door, a cloakroom!
In the United States, "bathroom" commonly means "a room containing a toilet" (in other countries this is usually called "toilet" or alternatively "water closet" (or "WC"), or "lavatory"). In America they are categorised as full bathroom, containing a bathtub, a shower, a toilet, and a sink; half (1/2) bath containing a toilet and a sink; and 3/4 bath containing a toilet, a sink, and a shower. The word may also be used for public toilet, although �rest room� is also often used.