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I'm sure when a pokemon is paralyzed it has a 25% chance of not attacking
Yeah, BlackHaxorus is correct Swampert, the Pokemon inflicted with Paralyze will lose 25% of it's speed and will have a 25% chance of being unable to act.
There is a 25% chance that a pokemon will not be able to attack. I have usually experienced that it kicks in on the 3rd or so turn of being paralyzed.