can't happen here.. our current printer (an older, higher-end canon) has a whopping 50 page capacity input tray; and if you dare put 50 sheets in it, it'll choke on the first page it tries to pull through--so more like 35-40, max.
My FIL has a story about a professor who called IT because their printer "wasn't connecting to the wifi" when in fact it was out of paper. They for some reason thought the paper tray refilled itself
