Re: Running It Twice
Your original example might hint at why I think it does change the EV.
Basically, AJs needs an A or a diamond to win (lets exclude other more obscure cases, like JJ or some kind of diamond combo that gives KK a boat).
AJs needs only ONE diamond to win, but in the first turn and river, he used TWO of his outs. When running this once, that's irrelevant, and won't change anything. When running it twice, it slightly reduces his chances of winning the second run. Same if he got a diamond AND an A in the first run.
As I see it, the idea of running it twice is that doing so would maintain an "average" probability of each hand winning over the two runs equal to its chance of winning the first run. But I would think that using two outs in the first run would violatet this assumption. I'm going to take some time soon and do some math on this, it really interests me.
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