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Encyclopedia of Casino Twenty-One It follows that the player that starts with fewest pennies is most likely to fail. Even with equal odds, the longer one gambles, the greater the chance that the player starting out with the most pennies wins. However, this does not imply positive expected value for richer player since for each complete game (many flips) that the richer player loses, he will forfeit more pennies than his poorer playmate. [edit] Resplitting Aces. Deuces Wild Poker is a game of people... It's not the hand I hold, it's the people that I play with. - Amarillo Slim The outcome of future events can be affected if external factors are allowed to change the probability of the events (e.g. changes in the rules of a game affecting a sports team's performance levels). 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. Modern online virtual wheels come in both varieties. Virtual Roulette wheels are programs that utilize random number generating technology to govern the motions of the wheel. This gives the wheel the randomness it needs so that outcomes are difficult, some say impossible, to predict. 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. Now suppose that we have just tossed four heads in a row. A believer in the gambler's fallacy might say, "If the next coin flipped were to come up heads, it would generate a run of five successive heads. The probability of a run of five successive heads is 0.55 = 0.03125; therefore, the next coin flipped only has a 1 in 32 chance of coming up heads." The player's disadvantage is a result of the casino not paying winning wagers according to the game's "true odds", which are the payouts that would be expected considering the odds of a wager either winning or losing. For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 6 times the amount wagered since there is a 1 in 6 chance of any single number appearing. However, the casino may only pay 5 times the amount wagered for a winning wager. Craps For example, the official house advantage for a casino game might be 1%, and thus the expected value of return for the gambler is 99%. However, this math would only be true if the gambler never used the results of a winning bet again. Thus after gambling 100 dollars the idealized average gambler would be left with 99 dollars, but, if he continued to bet using his 99 dollars in winnings, he would again lose 1% on average and his expected value would go down to 98.01 dollars. This downward spiral continues until the gambler's expected value approaches zero: gambler's ruin. Their Flash games work right in Safari, either free-play or for real money. Million Dollar Blackjack, Ken Uston, 1981

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