Number of Possible Limit Hold\'em Games
I was just wondering the other day if anyone has been able to calculate the total number of possible outcomes for a limit hold'em game, assuming a 10-handed game with a normal blind and capped betting structure. there is definitely a finite number of possibilities, but is the number too large for a computer to calculate?
we can start with the 52! (factorial) to get the base number of card orders in the deck. then each player has the option preflop to fold, call, or raise. based on each action, 9 other players have 3 options, and so on, for each player and each action. same goes for the three postflop betting rounds with options to check, call, bet, raise, fold.
has anyone developed an algorithm for calculating this, much less even cared how big this number could be? i'm just curious.
|