Echognome, on Jul 15 2008, 07:04 PM, said:
I'm just wondering, isn't it equivalent after we've seen 3 cards played from opponents that the odds are just 12 to 11 based on vacant spaces? Isn't that much easier than all of the combinatorics above?
Very much so. The exercise in futility above was an attempt to show how distributional probabilities are calculated in terms of vacant places. Or to put it another way, I was bored, and I didn't see why I should be the only one.

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