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The water in your cabin will almost certainly be produced on board by either reverse osmosis or desalination, the quality of this water is as much better than that which you get from your tap at home.
The water in your room (or cabin) is totally drinkable as it is throughout the ship. It's an American Cruise Line and Americans don't do undrinkable water....Heather.
Most ships do drinkable water but wheter you wish to drink it is another matter I always opt for bottle wate.