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the other thing that needs to be considered is selection. Nature, for whatever reasons, favors certain sequences. It is as if a dice player could always keep his winnings and always rule losing tosses "invalid".

I agree. Which is why I prefer Yahtzee to craps. My comments were directed towards the claim that rolling 54 thousand consecutive sevens with a pair of fair dice is consistent with craps. While it is true that a game of craps will often see dice rolls totalling seven, craps is also built around the probability of such an event occurring. While such a sequence is not outside the realm of possibility, is it well beyond the bounds of probability.