Both Randomizer and Paramount work normally at first except every ten rolls from Randomizer that fail to result in a permanent power; you will be given a pity roll randomly selected from the list of Tier 1 powers Paramount can access that is guaranteed to be permanent.
After all paramount powers are made permanent, pity rolls stop happening.
If you use the same power through Randomizer and Paramount at the same time, their overall power can be combined and doubled in strength.