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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." Surrender: Forfeit half the bet and give up the hand. Surrender was common during the early- and mid-20th century, but is no longer offered at most casinos. Bodog is also a full-service sportsbook, and the sports betting works fine on Macs, too. In fact, you can use the same account to play in the casino and make sports bets. Double down restricted to certain totals, such as 9-11 or 10,11 Last night I stayed up late playing poker with Tarot cards. I got a full house and four people died. - Steven Wright [edit] Common table games 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)
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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: Some of you may have heard about Cynthia Haines. Most of the online casinos know her name. Cynthia Haines is a woman from California who ran up $115,000 in credit card debts by gambling online. When it came time to pay up she refused. late surrender: player has the option to surrender after dealer checks for Blackjack. Luck, Logic, and White Lies: The Mathematics of Games, Joerg Bewersdorff, 2004, ISBN 1568812108, 121-134 Big Wheel / Big Six Rsp = suRrender if allowed, otherwise SPlit 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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