Yes. But if we are throwing away all of the hands that don't have AAA flops, what's the difference, other than the amount of time it will take to complete the simulation?
In other words, we have two choices:
Choice 1:
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? YES!
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
Deal 20 hole cards, deal flop, check to see if it's AAA. Is it? No.
etc, etc, etc for a long, long time to get 100,000 AAA flops.
Choice 2:
Just do this 100,000 times:
Deal AAA flop (set cards aside, whatever). Deal 20 hole cards.
In the end, you'll have the exact same 100,000 hands of AAA flops either way.
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