Re: AA vs QQ, running it twice
What do you mean by "better". Basically, from an EV standpoint, it doesn't matter.
You could theoretically run it one billtion times. Then AA would end up with 81% of the pot and QQ would get 19% of the pot.
I was in a home game where this happened. Two guys ended up all-in pf with AA vs KK and the pot was around $4000. They didn't run any cards and agreed to chop it 80/20.
So in general, running it once is gambling, running it twice is less gambling, running it one billion times is splitting up according to percentages and is zero gambling.
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