Re: 4 of a kind
It's actually 15005.25 to 1 against someone with a pocket pair to make quads twice in a row.
This assumes we already have the pairs twice in a row. The probability of being dealt a pair is 1/17, and it is (1/17)^2 to be dealt a pair twice in a row. So all together it is (1/17)^2*(1/15006.25) or 4,336,805 to 1.
If we consider the cases where we make quads with just 1 hole card, it becomes about 10 times more likely. See my other post in this thread.
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