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There are two full bathrooms on top floor.
Half bath on main floor.
In the basement there is a toilet,sink, shower stall.
Is this a 3.5 or a 4.5 bath home?
Rooms containing a toilet, sink, and bathing facilities are considered full bathrooms. A sink and toilet only is considered a half bath. By your description there are three full baths and a half bath, giving you a 3.5 bath house.
Around here, when listing a property for sale, a bath with a sink, a toilet and a shower stall is referred to as "3/4 bath".