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Very nice writeup on this calculation, thank you.

Around the turn of the century I was also interested in calculating such a thing, but I am a lousy/lazy programmer so I wound up finding C++ code by a programmer called "Eric Farmer". Is that you?

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Thank you. No, that's not me. You can see that this is not so unique, what I have done there. These calculations look very complicated at first sight, but they are not. You can actually program this step by step with a few basics of probability theory without special knowledge.

wow, seems like they are still around: https://github.com/possibly-wrong/blackjack

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