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Many riddles trick the reader into believing that they are an example of Gambler's Fallacy, such as the Monty Hall problem. Similarly, if I flip a coin twice and tell you that at least one of the two flips was heads, and ask what the probability is that they both came up heads, you might answer, that it is 50/50 (or 50%). This is incorrect: if I tell you that one of the two flips was heads then I am removing the tails-tails outcome only, leaving the following possibile outcomes: heads-heads, heads-tails, and tails-heads. These are equally likely, so heads-heads happens 1 time in 3 or 33% of the time. If I had specified that the first flip was heads, then the chances the second flip was heads too is 50%. 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. 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. When the first supply of cards is exhausted, the croupier takes a fresh handful from the heap before him, has them cut by the player on his left, and hands them to the banker. To constitute a valid deal, there must be not less than seven cards left in the dealer's hand. Should the cards in hand fall below this number, they are thrown into the wastebasket, and the banker takes a fresh supply as above mentioned. First impressions are that Europa's lobby is probably the most attractive I've ever seen. You are welcomed by relaxing music and an animated water fountain sculpture, surrounded by several famous European landmarks like the Eiffel Tower and the leaning tower of Pisa. I also like Europa's blue tables - not that I don't like the classic "color of money" green - but it's a refreshing change and a nice touch. [edit] Spanish 21 provides players with many liberal blackjack rules, such as doubling down any number of cards (with the option to 'rescue', or surrender only one wager to the house), payout bonuses for five or more card 21's, 6-7-8 21's, 7-7-7 21's, late surrender, and player blackjacks always winning and player 21's always winning, at the cost of having no 10 cards in the deck (though there are jacks, queens, and kings). With correct basic strategy, a Spanish 21 game has a lower house edge than a comparable blackjack game. Blackjack, also known as twenty-one and pontoon in British English, is one of the most popular casino card games in the world. Much of blackjack's popularity is due to the mix of chance with elements of skill and decision making, and the publicity that surrounds the practice of card counting, a skill with which players can turn the odds of the game in their favor by making betting decisions based on the values of the cards known to remain in the deck. Blackjack's precursor was vingt-et-un ("twenty-one"), which originated in French casinos around 1700, and did not offer the 3:2 bonus for a two-card 21. Chinese Blackjack is played by many in Asia, having no splitting of cards, but with other card combination regulations. At any time during the first or subsequent betting rounds, if any player makes a bet, all other players are required to match it or to surrender their cards and forfeit their interest in the pot. If one player bets and no other player chooses to match the bet, the deal ends immediately, the bettor is awarded the pot, no cards are shown, and the next deal begins. This is what makes bluffing possible, and is a primary feature of the game that distinguishes it from other vying games and from other games that make use of poker hand rankings. Arnold Snyder's articles in Blackjack Forum magazine were the first to bring Shuffle Tracking to the general public. If you can't spot the sucker within the first half hour at the table, then you are the sucker. - common poker saying, as spoken by Matt Damon in Rounders; originally attributed to Amarillo Slim Blackjack Cards 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?

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