Re: the random number problem
I didn't understand this:
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The problem is that if you select cards for a specific hand first, and remove those cards from the deck, then you're not generating scenarios uniformly over all possible scenarios. For monte carlo to work, the scanrios generated must be drawn uniformly from all possible scenarios.
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Isn't it the POINT of selecting specific hands to get the scenarios for a pre-existing condition that affects the other cards? All you are really doing is filtering the entire set of simulations by choosing only those with XY in a specific hand.
Why would that make any real difference in the results?
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