Re: Mean top card
There are:
4 chose 2 '2 high' hands
8 chose 2-4 chose 2 '3 high' hands
12 chose 2-8 chose 2 '4 high' hands
16 chose 2-12 chose 2 '5 high' hands
...
52 chose 2 - 48 chose 2 'A high' hands
You'll have to figure out what the average of K and 2 is yourself.
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