Pinochle Question

[The Dude]

Last night while playing pinochle, double aces around was dealt two hands in a row. So here's my question.

What is the probability that on any given hand, all eight aces will be dealt to one team? (There are 48 cards, two of every suit and rank from A to 9. Each player is dealt 12 cards, and there are two teams of two players.)

Also, of the times all eight aces are dealt to one team, what % of the time will they be split 8-0, 7-1, 6-2, 5-3, and 4-4?