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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. Baccarat Original Story Playing Blackjack as a Business, Lawrence Revere, 1971 I've now played in 11 of the casinos and have made a profit in each one. Shown below are the actual profits I've received. When money is received in $'s I've converted the profit figure to ?'s. Fun! Online casinos are instant fun and an awesome experience whether you choose to just compete against the computer or have fun with other real players. If you've never played blackjack before don't worry, you'll learn exactly what to do. You can start playing the games using fun credits, so if you're unsure about the strategy you can practice first without risking a penny. If the 'Player' has an initial total of 0, 1, 2, 3, 4 or 5, the 'Player' draws another card. Taking advantage of short term gains and walking away while you're ahead are good advice, but it doesn't make for much fun. If you want to play longer and win more money, you'll need to find a Roulette system that can help you become a more sophisticated player. Disregard any of the statistically based Roulette systems, they've all been proven not to work and you'll just be wasting your money. Some newer systems, like those based on physics or other factors, seem to work much better and you don't even need to start out with a lot of money to win Chuck-a-luck Another interesting legend I turned up about the origins of the game said that the wheel's inventor actually sold his soul to Satan for it. That one's pretty tough to prove, but an interesting coincidence (or is it?) is that if you add up all the numbers on the Roulette wheel, the total is 666. I'm not sure if that makes me more prone to bet on red or black.
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