Re: Monte Carlo vs Possible Equation?
To deal every heads-up combination with every flop...
There are 169 starting hands (using Spades if suited, Spades and hearts if offsuit. The results are identical for other suit combinations).
Each of the 169 hands can play against 1225 other starting hands.
169*1225 = 207,025 match-ups.
With 48 cards left there are 1,712,304 flop combinations.
207,025 8 1,712,304 = 354,489,735,600
You need to evaluate both hands so double that figure to get
708,979,471,200 (just over 700 billion)
So it is 700bil hands, not 7bil. Processing took just over a week. The key is obviously to get your hand evaluation function fine tuned.
From a programming perspective it was an interesting challenge....
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