Quads - Expected Abberation?

[timex]

I think its very similar, if you have a board showing a pair and only 1 player playing, they will have quads about 1/1100 times. If they play ten hands, on this board, they will hit quads about ~1/110 times. If there are 10 players at the table, they will each have quads about 1/1100 times 1*10/1100 = 1/110. For every case the same thing can be done whether there are 3 of a kind on the board one pair or 2 pair.