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Using it twice lowers it to 50% but how about the 3rd time

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It cuts in half again down to 25%. and 4th will go to 12.5%. But for 5 or more it will stay at 12.5%

Source: http://bulbapedia.bulbagarden.net/wiki/Protect_(move)

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>If used in succession with other protection moves, its success rate is cut to 33% of what it was, working cumulatively the more it's used. This will prevent damage and effects of almost all possible attacks that would be inflicted upon the user.

-Serebii

Bulbapedia for some reason doesn't have this. But this is right because even PS! Uses this description.

>This move has a 1/X chance of being successful, where X starts at 1 and triples each time the move is successfully used.

-PS!

And using 3 times in a row the chance for it to fail is 1/9 which is 11.11%

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