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Key: Consider a flipping coin game with two players where each player having 50% chance of winning each flip. After a flip the loser transfers one penny to the winner. The game ends when one player has all the pennies. If the number of flips is infinite, the probability that the game will eventually end is 100%. If player one has n1 pennies and player two n2 pennies , the chances P1 and P2 that players one and two, respectively, will end penniless are: I was asked to review the ebook casino scalping, which describes how to play "Perfect Blackjack" to improve your chances and minimises your losses. Big Wheel / Big Six I'm so glad that Bodog has added Mac compatibility. Before this I can't tell you how many casinos I tried where the run-in-your-browser Java or Flash software allegedly worked on Macs but didn't. I didn't try all the one that purported to work on Macs because Ie gave up after the first several didn't work. I couldn't get no-download versions to work from Captain Cooks, Unified Gaming, InterCasino, Sands of the Caribbean (CryptoLogic), or Roman Palace. Strike It Lucky casino finally acknowledged to me via email that their games don't really run on Macs, though months later their website still proudly (and falsely) claims that they do. Fortunately there's now an alternative. (visit Bodog) However Roulette started, it certainly has become a phenomenon across continents and with the advent of the Internet, it knows no boundaries. You can find Roulette tables in Las Vegas, Monte Carlo, and on about a million websites in cyber space. There is something universal in the appeal of this game. You call this one and it's all over, baby. - Scotty Nguyen, during the 1998 World Series of Poker. Down to him and one other player, he said this to his opponent who called, and it was all over. Roulette, as many people know, is a French word that means "little wheel". When I was researching an article on the history of Roulette a while back, I ran into some really amazing stories about its origins. One legend was that the Roulette wheel was actually derived from an early scientist's attempt at creating a perpetual motion device. His attempt failed (darn those pesky laws of physics), but the game caught on. A typical casino game has a slight house advantage. The advantage is the long-run expectation, most often expressed as a percentage of the amount wagered. It remains constant from one play to the next. If the long-run expectation is expressed as a percentage of the amount that the player starts with, however, then the house advantage increases the longer the player continues. [edit] Environment. While the luxury of a "real" casino is infallible and can't be completely reproduced by a piece of internet software however sophisticated, it serves you no good when it comes down to the thing central to the casinos - gambling. The casino athmosphere is trying to dissolve and distract you... from your money. Think about it! In a "real" casino you'd be competing not only against the groomed dealers and other players but also against the casino crowd. They'll be watching you and you will feel their sights on your back, the pressure and the push into making your move already. Have you ever thought why a casino would never have a clock - anywhere? When you step into a casino, it grabs you and distracts you. Free drinks, beautiful people and seemingly welcoming comfort of a casino will relax you and draw you away. When you choose an online casino, you remain in control. An online casino can't outdo you in the comfort of your own home and frankly, it doesn't want to either. You can play throughout your work day or work throughout your play day. No online casino will ever tell you when to come and when to go. Like they say: your home is your castle. They anticipate losing when they sit down and I try my darnedest not to disappoint one of them. - Amarillo Slim The banker is not permitted to withdraw any part of his winnings, which go to increase the amount in the bank. Should he at any given moment, desire to retire, he says, "I pass the deal." In such case each of the other players, in rotation, has the option of taking it, but he must start the bank with the same amount at which it stood when the last banker retired. Should no one present care to risk that high a figure, the deal passes to the player next on the right hand of the retiring banker, who is in such case at liberty to start the bank with such amount as he thinks fit, the late banker now being regarded as last in order of rotation, though the respective priorities are not otherwise affected. Ken Uston on Blackjack, Ken Uston, 1986, ISBN 0818404116 Slot Machine: Food Fight If the 'Banker' has an initial total of 0, 1, 2, 3, 4 or 5 and the 'Player' has an initial total of 6 or 7 and stands, the 'Banker' draws another card. Five or more cards with the total still no more than 21 as an automatic win (a "Charlie") These are common misunderstandings that arise in everyday reasoning about probabilities, many of which have been studied in great detail. Many people lose money while gambling due to their erroneous belief in this fallacy. Although the gambler's fallacy can apply to any form of gambling, it is easiest to illustrate by considering coin-tossing; its rebuttal can be summarised with the phrase "the coin doesn't have a memory". 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. When blackjack was first introduced in the United States it wasn't very popular, so gambling houses tried offering various bonus payouts to get the players to the tables. One such bonus was a 10-to-1 payout if the player's hand consisted of the ace of spades and a black Jack (either the Jack of clubs or the Jack of spades). This hand was called a "blackjack" and the name stuck even though the bonus payout was soon abolished. Slot machine More generally however the phrase refers to the ever decreasing expected value of a gambler's bank as he continues to gamble with his winnings. Probably the only bad thing about online casinos is that you can't bring a lady and charm her up, but then again if you already have a lady in your house you would not take her to play computer games now would you? Jacks or Better The croupier will deal the cards according to the tableau and the croupier will announce the winning hand - either 'Player' or 'Banker'. Losing bets will be collected and the winning bets will be paid according to the rules of the house. Usually even money or 1-1 will be paid to the player and 95% to the 'Banker', 5% commission to the house. (Commission Baccarat) Some casinos pay even money or 1-1 to both 'Player' and 'Banker' except when the 'Banker' wins with a total of 6. Then the 'Banker' will be paid 50% or half the original bet. [edit] 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.

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