
Card Game & Co: all around the players

| Card Game Encyclopedia: Poker |
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Poker is a card game, the most popular of a class of games called vying games, in which players with fully or partially concealed cards make wagers into a central pot, which is awarded to the remaining player or players with the best combination of cards. Poker can also refer to video poker which is a single-player game seen in casinos much like a slot machine. Hand rankingsThe most fundamental rules of poker concern the hand rankings, because the hand rankings determine the winner. While betting is extremely important to the game, players are wagering on whether they have won, therefore a complete understanding of hand rankings must come first. These hand rankings do not apply to games played "low", such as lowball or razz; see the section on "low hands" below. The cards are ranked thus, from low to high: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace. An ace is the highest card, but it can also function as the lowest in completing a straight. The two is usually called a "deuce", and the three is sometimes called a "trey". Ten, Jack, Queen, King, and Ace are often abbreviated T, J, Q, K, and A, respectively, so that each card name has a single number or letter associated with it. This is commonly used in describing hands, for example, A-2-3-4-5 is a hand with an ace, a two ("deuce"), a three, a four, and a five — not necessarily in that order, but presenting them in that order makes it clear that the hand is a straight. A hand may also be written, say, A-A-x-x-x, where "x" means any card.
A-2-3-4-5 is considered a five-high straight, and it is called a wheel or bicycle; this is the only time an ace plays as a low card. An ace-high straight flush is called a royal flush and it cannot be beaten, but it can be tied. Higher cards always beat lower cards, for example, a pair of aces beats a pair of kings. If two players have the same pair, a kicker is used to break the tie if possible (more about them soon). When two players have two pair, the highest pairs are considered, for example, aces up always beats kings up, no matter the other pairs. If, for example, two players both have aces up, then the higher of the smaller pairs wins: aces over kings beats aces over queens. If, for example, both players have aces over kings, then the kicker card is considered. Kickers also come into play when more than one player has the same three or four of a kind (possible only in community card games or wildcard games). If players have the same straight, flush, full house, or straight flush, it is always a tie and the players split the pot. A kicker is any card that you hold in your hand that does not make part of it, that is, an otherwise useless card. When two players hold the same pair, two pair, three of a kind, or four of a kind, the highest kicker wins, for example, A-A-K-x-x beats A-A-Q-x-x, A-A-K-Q-x beats A-A-K-J-x, and A-A-K-Q-J beats A-A-K-Q-T. A kicker can be higher than the rest of the hand, for example, K-K-A-x-x beats K-K-J-x-x, so an ace usually makes the best kicker. Low handsSome games have a high-low split, and some games such as lowball or razz are played low-only. In a high-low split game, typically a low hand must not have any cards ranked higher than eight and no cards must be paired, or it does not count as a low hand. In low-only games, any cards can be used. Many forms of poker do not use low hands, so you need not concern yourself with these until you intend to play games that do. There are three common ways of ranking low hands: ace-to-five low, ace-to-six low, and deuce-to-seven low, named after the best possible hands in the respective systems. In all systems, paired cards are bad and cannot be used to beat any hand that does not have a pair. Likewise, a pair beats three of a kind, three of a kind beats a full house, and a full house beats four of a kind. The most common hand ranking system for low hands is ace-to-five, used almost universally in high-low split games and very common in other games. This means A-2-3-4-5 (called a wheel or bicycle, just as it is as a high hand) is the best possible low hand, and the ace is the lowest card. For a high-low split game, it also forms a high hand: a five-high straight. In order to avoid confusion, we will discuss only ace-to-five low at the moment. When pairs and any other "bad" hands are not present, then the winner is the one whose highest card is lowest. For this reason, a low hand is usually described highest card first, to make it easier to tell which is lower. In ace-to-five, 8-4-3-2-A loses to 7-6-5-4-3 because the highest card in the first hand (eight) is higher than the highest card in the second hand (seven), even though all the other cards in the second hand are lower. If the highest cards are the same, then the next-highest cards are considered, and so on: 8-7-6-3-A loses to 8-7-5-4-2 because the second hand goes lower first. In ace-to-six low, straights and flushes count for high (that is, they're bad), and the best possible hand is A-2-3-4-6 unsuited, since it's the lowest possible card combination that avoids pairing, straights, and flushes. Deuce-to-seven is identical except the ace is the highest card, so the best possible hand is 2-3-4-5-7 unsuited. Therefore, in deuce-to-seven low, the hand that would make the worst possible high hand in traditional poker is the best possible low hand, and vice versa: a royal flush is the worst possible hand. BettingSpecifics of betting vary from game to game. Before a hand begins, most games either use an ante or a blind bet, and some games use both. An ante is usually a fraction of a normal bet size. Blind bets are used with games that have a dealer button (also called a puck or button), hereafter simply button to refer to both the button itself and to the player who holds it. With an ante, every player must toss a chip or coin of a given denomination into the pot before receiving his or her cards. Blind bets may also appear in the form of bring-in bets in stud games, where the player with the lowest (or highest) card showing on the first round must either "bring it in" for a set amount (usually half a small bet) or make a full small bet. The player making the bring-in cannot fold. In games that use a dealer button, the most common structure is a two-blind structure. In this, the player to the button's left posts a small blind (usually half a bet, rounded either up or down if this results in an awkward bet size), and the person to the left of the small blind posts the big blind, generally a full bet size. The players then all receive their cards, the other players receiving them at no cost. The player to the big blind's left must then call, raise, or fold to the big blind, and betting continues normally. But what is normally? In a normal betting round, there must be some means of determining who goes first. In games that use a button, it will always be the player to the button's left (except in the first betting round, in which case it is the player to the big blind's left; this position is called under the gun). Other games use various schemes. The player who goes first must check or bet. To check is to pass on the chance of betting, and the player to his or her left faces the same choice. If all players check, nobody may bet and the next round continues. When somebody bets, all other players must decide, one at a time (starting from the bettor's left) whether to call, raise, or fold. To call the bet is to put the same amount of money into the pot. To raise is to call and also add more money to the pot. To fold (lay down your hand) is to stop playing the hand, giving up any money invested in the pot. The round of betting ends when all players who have not folded have called the last raise (so each player who has not folded contributes the same amount to the pot). A player who bets and folds to a raise loses the bet he or she made, even though the player folded on the same betting round. For this reason, it is advantageous to act last; in a game with a dealer button, the player who has the button always acts last (except in the first betting round, since the blinds get the option to raise). To confuse matters further, there are several ways to play betting rounds, which are usually unrelated to the game itself (for example, five card draw can be played spread limit, fixed limit, pot limit, or no limit).
Omaha hold'em is often played pot limit but is almost never played no limit. Stud poker is usually either spread limit or fixed limit. A beginning player is strongly urged not to play pot limit or no limit, no matter how low the stakes are, until at the very least the player is well acquainted with the rules to the game. Expected valueThe expected value (EV) or expectation of a wager is how much you will win in the "long run" by making that wager. For example, this situation comes up often in Texas hold'em: a player has four hearts on the turn, and needs to hit a heart on the next and final card to make a flush. He is absolutely certain he will win if he hits the flush and in so doing the board does not pair, because the board allows no possibility for a full house or better hand, and his flush will be the nut flush. Even if the board pairs, he has a good chance of winning, so he need not worry about other hands that much. The probability of catching the heart is about one in five. Therefore, he can expect to lose most of the time. However, the idea of continuing cannot be dismissed out of hand unless we know what his expectation is. If it will cost $5 to call a bet and the pot, including other bets and calls, is $50, our player actually has a very positive expectation and should pay to see the next card. The chance of hitting his hand is only one in five, the pot is ten times the bet size. The player expects to win on average two dollars for every dollar invested every time this situation occurs. To make it easier to understand why this move is correct even though it usually loses, suppose you have a six-sided die. If you correctly guess what side it lands on, you will win $50. If you are wrong, you lose $5. You will be wrong five times out of six, but you stand to gain a lot over the long run! This is because the probability of guessing correctly is 1/6, sometimes expressed as odds, "5:1 against" (five losing possibilities, one winning possibility). However, the payoff odds are 50:5 ($50 won for a $5 bet), which can be reduced to 10:1, and 10:1 is twice as large as 5:1. The payoff odds are called pot odds in a poker game. Comparing the odds of winning to the pot odds is how you can estimate your expected value. Ideally, you want to avoid all situations where you have a negative expectation. Even slightly negative situations can pile up and bleed away your bankroll. Calculating expected valueYou cannot always get a good idea of the chances of winning your hand — at least, not without knowing what your opponents have, and they're not going to tell you! However, you will often have a draw which, if you hit, you will very likely win the pot. The exact arithmetic involved varies from game to game. In Texas hold'em and Omaha, once you see the flop, the percent chance of making your hand within one card is generally your number of outs (cards that will make your hand) multiplied by two, and the odds of making your hand within two cards is your number of outs multiplied by four. For example, if you have four hearts and you need one more for a flush, you have nine outs, because there are thirteen hearts in the deck, and subtracting the four hearts you already have gives nine. 9 × 2 is 18, so you have about an 18% chance of making the hand in the next card, and 9 × 4 is 36, so you have about a 36% chance of making it in two cards. To make this easy, you want to turn this percent chance into odds, like 5:1 against. Fortunately, they are easy enough to memorize: 50% = 1:1 33% = 2:1 25% = 3:1 20% = 4:1 16% = 5:1 14% = 6:1 12% = 7:1 11% = 8:1 10% = 9:1 9% = 10:1 8% = 11:1 7% = 13:1 5% = 20:1 4% = 25:1 The odds in bold are the most important to commit to memory; the others can be easily estimated. Now, take the x in the x:1 figure and multiply it by the bet size. For example, if the odds of making your hand are roughly 4:1, and the next bet costs $5, multiply 5 × 4 = 20. That means you want there to be at least $20 in the pot (be sure to include bets that have not been added to the pot proper yet!), preferably a bit more just in case unless you're certain to win if you hit your draw. If there is not at least $20 in the pot you will lay down your hand, unless you can check instead. If the table is really loose, and a lot of players are in the hand and are likely to stay in, and the pot will get really big, you may even want to raise. Normally, however, checking or calling is the correct move. Notice we did not calculate the exact expected value. This is not necessary or indeed practical for most people. If it is negative, you get out, and if it is positive, you call. If you're a favorite to win the pot, you raise. However, as has been shown you can usually figure out if the value is only barely positive, for instance, the size of the pot is a dollar more than the odds of making your hand (and this dollar is small in proportion to the pot size). When faced with this situation, you might want to lay down your hand sometimes: you may be losing just a little money in the long run, but you keep your bankroll from taking big swings. But if you don't mind taking a gamble, by all means go for it!
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