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A save is a term derived from "saving throw", a term originating from tabletop role playing games as a defensive check to see if a player will take or avoid a harmful effect. Saves are usually referred to in the context "a (attribute) save of difficulty (number)".
By default, this is a 1d201-20 (Avg: 10.5) roll that has the attribute's modifier added to the result. If this is greater than the difficulty specified, the "save" is successful and the attempted effect to apply will be ignored.
Most saves fail on a "natural 1" and succeed on a "natural 20" regardless of difficulty and bonuses, meaning you always have at least a 5% chance of success and at least a 5% chance of failure.
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