(I) Three identical packs of cards A, B and C, each being standard 52 card decks, are shuffled thoroughly. One card is picked from A and shuffled with B. Again, one card is picked from B and shuffled with C. Finally, one card is picked from C and shuffled with A.
The top card from A is now turned up and found to be the Jack of Hearts.
Determine the probability that the respective top cards in B and C will be the Queen of Hearts and the King of Hearts (in this order.)
(II) With all the other conditions of the problem remaining the same, suppose:
The top cards from A and B are turned up and are respectively found to be the Jack of Hearts and the Queen of Hearts.
Determine the probability that the top card from C will be the King of Hearts.