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[edit] If the dealer does not have a natural, then the first player completely plays out his hand, followed by the next player, and so on. When all the players have finished the dealer plays his hand. When you're betting online, most experts advise that unless you have a good system in place, you should limit your bets to a few spins and wager more per spin. This advise is based on the idea that statistically, the longer you play, the higher the odds are that you will lose money. Luck, Logic, and White Lies: The Mathematics of Games, Joerg Bewersdorff, 2004, ISBN 1568812108, 121-134 Dice / Tiles cheap florida home vacation rental the cut the picking why cheap package ski vacation
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If the 'Banker' has an initial total of 8 or 9, this is a natural and neither the 'Player' nor the 'Banker' draw further cards. Mathematically, the probability is equal to one that gains will eventually equal losses and a gambler will return to his starting point; however, the expected number of times he has to play is infinite, and so is the expected amount of capital he will need! A similar argument shows that the popular doubling strategy (start with $1, if you lose, bet $2, then $4 etc., until you win) does not work; see St. Petersburg paradox. Situations like these are investigated in the mathematical theory of random walks. This and similar strategies either trade many small wins for a few huge losses (as in this case) or vice versa. With an infinite amount of working capital, one would come out ahead using this strategy; as it stands, one is better off betting a constant amount if only because it makes it easier to estimate how much one stands to lose in an hour or day of play. Wikiquote has a collection of quotations related to: D = Double Pai Gow Beat the Dealer : A Winning Strategy for the Game of Twenty-One, Edward O. Thorp, 1966, ISBN 0394703103 The Theory of Gambling and Statistical Logic, Richard A. Epstein, 1977, ISBN 012240761X, 215-251 A casino generally has: Luck, Logic, and White Lies: The Mathematics of Games, Joerg Bewersdorff, 2004, ISBN 1568812108, 121-134
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