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PokerPoker is a microcosm of all we admire and disdain about capitalism and democracy. It can be rough-hewn or polished, warm or cold, charitable and caring or hard and impersonal. It is fickle and elusive, but ultimately it is fair, and right, and just. - Lou Krieger Mathematics of blackjack Poker is a godless game, full of random pain. - Andy Bloch [edit] 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. European No-Hole-Card Rule: the dealer receives only one card, dealt face-up, and does not a second card (and thus does not check for blackjack) until players have acted. This means players lose not only their original bet, but also any additional money invested from splitting and doubling down.
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The right to begin having been ascertained, the banker takes his place midway down one of the sides of an oval table, the croupier facing him, with the waste-basket between. On either side the banker are the punters (ten such constituting a full table). Any other persons desiring to take part remain standing, and can only play in the event of the amount in the bank for the time being not being covered by the seated players. Despite its simplicity (or perhaps because of it), the punto banco version of baccarat offers some of the lowest house advantage available in a casino. The player bet has a house advantage of 1.24%, and the banker bet (despite the 5% commission) has an advantage of 1.06%. The tie bet has a much higher house advantage of 14.44%, based on six decks in play. [1] After all the players have finished making their decisions, the dealer then reveals his or her hidden hole card and plays the hand. House rules say that the dealer must hit until he or she has at least 17, regardless of what the players have. In most casinos a dealer must also hit a soft 17 (such as an ace and a 6). The felt of the table will indicate whether or not the house hits or stands on a soft 17. Example: The player originally bets $10 and the dealer shows an Ace. The player takes Insurance by betting an additional amount of $5. Suppose the player's hand is 19. The dealer turns up his 'hole card' after the Insurance betting period is over -- and it's not a 10-valued card. Suppose the 'hole card' is a 7. The player instantly loses his $5 Insurance wager. (All Insurance wagers are settled as soon as the dealer turns over his 'hole card', before all else.) But the player wins his $10 bet. Note that the player made a net profit on that round. 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." In Baccarat Chemin de Fer, it will have been noticed that a given bank only continues so long as the banker wins. So soon as he loses, it passes to another player. In Baccarat Banque the position of banker is much more permanent. Three packs of cards are shuffled together. (The number is not absolute, sometimes four packs, sometimes two only, being used; but three is the more usual number.) The banker (unless he retires either of his own free will or by reason of the exhaustion of his finances) holds office until all these cards have been dealt. Consider players with 90 and 10 pennies respectively, repeating the game 100 times. The player with 90 pennies is expected to win 90 out of 100 complete games, winning 10 pennies each game. However, he is also expected to lose 10 games, each time forfeiting all 90 of his pennies. So after the series of 100 games, the richer player is expected to win 90*10=900 pennies, and lose 10*90=900 pennies. Despite the fact that after any single game, one player ends up with all the pennies, the expected result over many games is for both players to break even. Let It Ride 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. Random number games By the time I'd played the required number of hands, my initial 200 credits had increased to 315, which gave me a total profit of ?215. Not bad for about an hour's work (not that I'd call it work).
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