It's weighted-random. Since you've only had these PUs for one generation (I'm guessing), my money is on you getting 3 of them inherited.
But as I said, it's bloody random. You may get all 20, you may get 0. Just make sure you have the troops on call for all those non-cored provinces if you do inherit.
But as I said, it's bloody random. You may get all 20, you may get 0. Just make sure you have the troops on call for all those non-cored provinces if you do inherit.