Ace-to-six low is a method for evaluating low hands in poker. It is not as commonly used as the ace-to-five low method, but it is common among home games in the eastern United States, and also common in the United Kingdom (it is the traditional ranking of London lowball, a stud poker variant).
As in all lowball games, pairs and trips are bad: that is, any hand with no pair defeats any hand with a pair; one pair hands defeat two pair or trips, etc. No-pair hands are compared starting with the highest ranking card, just as in high poker, except that the high hand loses. In ace-to-six low, straights and flushes count for high (and are therefore bad), and aces play as the lowest card.
For example, the hand 8-5-4-3-2 defeats 9-7-6-4-3, because eight-high is lower than nine-high. The hand 7-6-5-4-2 defeats both, because seven-high is lower still. The hand 7-6-5-4-3 would lose, because it is a straight. Aces are low, so 8-5-4-3-A defeats 8-5-4-3-2. Also, A-A-9-5-3 (a pair of aces) defeats 2-2-5-4-3 (a pair of deuces), but both of those would lose to any no-pair hand such as K-J-8-6-4. In the rare event that hands with pairs tie, kickers are used just as in high poker (but reversed): 3-3-6-4-2 defeats 3-3-6-5-A.
It is called ace-to-six low because the best possible hand is 6-4-3-2-A, followed by 6-5-3-2-A, 6-5-4-2-A, 6-5-4-3-A, 7-4-3-2-A, 7-5-3-2-A, etc.
When speaking, low hands are referred to by their highest ranking card or cards. Any nine-high hand can be called “a nine”, and is defeated by any “eight”. Two cards are frequently used: the hand 8-6-5-4-2 can be called “an eight-six” and will defeat “an eight-seven” such as 8-7-5-4-A.
A wild card plays as whatever rank would make the lowest hand. Thus, in 6-5-Joker-2-A, the joker plays as a 3, while in Joker-5-4-3-2 it would play as a 7 (an ace or six would make a straight).
Ace-to-five low is the most common method for evaluating low hands in poker, nearly universal in American casinos, especially in high-low split games.
As in all low hand games, pairs count against the player. That is, any hand with no pair defeats any hand with a pair; one pair hands defeat two pair or three-of-a-kind, etc. No-pair hands are compared starting with the highest ranking card, just as in high poker, except that the high hand loses. In ace-to-five low, straights and flushes are ignored, and aces play as the lowest card.
For example, the hand 8-5-4-3-2 defeats 9-7-6-4-3, because eight-high is lower than nine-high. The hand 7-6-5-4-3 defeats both, because seven-high is lower still, even though it would be a straight if played for high. Aces are low, so 8-5-4-3-A defeats 8-5-4-3-2. Also, A-A-9-5-3 (a pair of aces) defeats 2-2-5-4-3 (a pair of deuces), but both of those would lose to any no-pair hand such as K-J-8-6-4. In the rare event that hands with pairs tie, kickers are used just as in high poker (but reversed): 3-3-6-4-2 defeats 3-3-6-5-A.
This is called ace-to-five low because the lowest (and therefore best) possible hand is 5-4-3-2-A, called a wheel or “bicycle”. The next best possible hand is 6-4-3-2-A, followed by 6-5-3-2-A, 6-5-4-2-A, 6-5-4-3-A, 6-5-4-3-2, 7-4-3-2-A, 7-5-3-2-A, etc.
When speaking, low hands are referred to by their highest ranking card or cards. Any nine-high hand can be called “a nine”, and is defeated by any “eight”. Two cards are frequently used: the hand 8-6-5-4-2 can be called “an eight-six” and will defeat “an eight-seven” such as 8-7-5-4-A.
Another common notation is calling a particular low hand “smooth” or “rough.” A smooth low hand is one where the remaining cards after the highest card are themselves very low; a rough low hand is one where the remaining cards are high. For instance, 8-7-6-3-A would be referred to as a “rough eight,” but 8-4-3-2-A would be referred to as a “smooth eight.”
High-low split games with ace-to-five low are usually played cards speak, that is, without a declaration. Frequently a qualifer is required for low (typically 8-high or 9-high). Some hands (particularly small straights and flushes) may be both the low hand and the high hand, and are particularly powerful (or particularly dangerous if they are mediocre both ways). Winning both halves of the pot in a split-pot game is called “scooping” or “hogging” the pot. The perfect hand in such a game is called a “steel wheel”, 5-4-3-2-A of one suit, which plays both as perfect low and a straight flush high. Note that it is possible–though astronomically unlikely–to have this hand and still lose money! If the pot has three players, and one other player has a mixed-suit wheel, and a third has better straight flush, the higher straight flush wins the high half of the pot, and you and the other wheel split the low half, so you have won only a quarter of a three-way pot!
Ace-to-five lowball, a five-card draw variant, is often played with a joker added to the deck. The joker plays as the lowest card not already present in the hand (in other words, it is a wild card): 7-5-4-Joker-A, for example, the joker plays as a 2. This can cause some interesting effects for high-low split games. Let’s say that Alice has 6-5-4-3-2 (called a “straight six”)–a reasonably good hand for both high and low. Burt has Joker-6-5-4-3. By applying the rule for wild cards in straights, Burt’s joker plays as a 7 for high, giving him a seven-high straight to defeat Alice’s six-high straight. For low, the joker plays as an ace–the lowest card not in Burt’s hand–and his hand also defeats Alice for low, because his low hand is 6-5-4-3-A, lower than her straight six by one notch. Jokers are very powerful in high-low split games.
The game of poker (or at least most of the variants) is considered to be computationally intractable. However, methods are being developed to at least approximate perfect strategy from the game theory perspective in the heads-up (two player) game, and increasingly good systems are being created for the multi-player or ring game. Perfect strategy has multiple meanings in this context. From a game-theoretic optimal point of view, a perfect strategy is a minimax one that cannot expect to lose to any other player’s strategy; however, optimal strategy can vary in the presence of sub-optimal players who have weaknesses that can be exploited. In this case, a perfect strategy would be one that correctly or closely models those weaknesses and takes advantage of them to make a profit. Some of these systems are based on Bayes theorem, Nash equilibrium, Monte Carlo simulation, and Neural networks. A large amount of the research is being done at the University of Alberta by the GAMES group led by Jonathan Schaeffer who developed Poki and PsOpt.
A major part of the skill of live poker games, however, is guessing at the strength of a player’s hand by identifying tells made by other players, while concealing one’s own. This fundamentally differs from games like chess where all information about the game’s current state is public. As a computer would not make any tells, playing against a computer would fundamentally change the nature of the game far more than chess and similar games.
Although you cannot read a computer opponent, playing against computer opponents can still help you sharpen your skills by learning how to count outs and play the percentages. With the advancing technology of artificial intelligence, computer players can be created to incorporate bluffs and other human-like decisions.
A cheat with moderate skill always has the option to hand-muck, that is, switch their hand with one they have secretly hidden on them somewhere. This may also be done with a confederate. Mechanical devices have been invented for the purpose of switching hands. Though such machines are outdated, the modern equivalents (clips that hold cards on the underside of the table) should not be overlooked. The “hands above the table” house rule is recommended to prevent this. If it is done above the table, then anyone at the table can see it. This type of cheat runs the risk that he plays the same card as someone else at the table; at which time there must be a cheat at the table. Most people, not wanting to point fingers, will just end the game for the evening.
Skilled methods
Never doubt that a skilled cheat may deal a card from any place in the deck. A skilled cheat can deal the second card, the bottom card, the second from bottom card, and the middle card. The idea is to “cull“, or to find the cards one needs, place them at the bottom, top, or any other place the cheat wants, then false deal them to himself or his confederate. Suppose the cheat is next to deal. In the previous showdown, there are four sevens in different hands. The cheat pick up the cards so that all four sevens end up on the bottom of the deck. He then false shuffles the deck and deals himself the four sevens off the bottom of the deck.
There are many tells as to this kind of cheating:
Beware of anyone gripping the deck with the index finger in front of it. This is referred to as the mechanics grip. It not only allows better control of the cards, but provides cover as, showing the back of the top card, and without moving the hand holding the deck.
Beware any shuffle instantly followed by a cut. This is a well known way to undo a shuffle. The idea is that, as the halves of the deck are taken apart, the bottom half is shuffled so its top card is on top. Cutting the cards, and in doing so, unweaving the interlaced cards, places the bottom half right where it started. Completing the cut places the deck in its original order.
Dealing mechanics
Despite all this high power sleight of hand, the cheat still won’t win money with four sevens if everyone else has a bust, so the cheat stacks two hands. Obviously the cheat will get the better one. Let’s say he has two hands one on the bottom of each half of the deck, ready to shuffle (let’s say four kings and four aces). All the cheat has to do is to shuffle the two halves PERFECTLY, that is, alternating from one half to the other. When done with the whole deck this is called a faro shuffle. This places in alternating order on the bottom of the deck the cards K,A,K,A,K,A,K,A. He can then false shuffle to his heart’s content without disturbing those eight bottom cards, and begin dealing. When he gets to his mark, he deals that player the bottom card. He deals himself bottoms too. This places the big fish with four kings, a real betting hand, and the cheat with four aces, hence the cheat cleans up. This is called the double duke.
The best way to foil mechanics of this nature is to burn them, to watch their hands at all times and to always insist on a cut. This may not prevent them from cheating, but it forces them to undo the cut – a difficult and dangerous move. Only world class cheats will undo a cut while being burned. Note: no other shuffling or cutting is allowed after EVERY player is offered the option of cutting. A cheat may bend the entire deck so as to reveal where the cut was, so that his confederate sitting to his left may undo the cut or he may do so himself should the appropriate distraction present itself.
Switching decks
This pales in comparison to the granddaddy of all cheating – the “cold deck“. After all the shuffling and cutting has been done (everyone nicely pacified) the cheat can switch the deck for one he has stacked beforehand so that everyone has a real betting hand, but, of course, the cheat has the best one. Other versions of the “cold deck switch” utilize the cutting sequence to perform the “work.” Any deck switch is difficult, and may require distraction, but once done, no other sleights are necessary to win. The only defense is to simply always watch the deck. Many players believe that it is bad luck to look at your cards before the dealer is finished as you might miss your opponents’ reactions to their cards, and might miss burning the dealer.
Some forms of poker, often called lowball, sometimes called “low poker,” reward poor poker hands (in the traditional sense). There are three common variations on this idea, differing in whether aces are treated as high cards or low cards, and whether or not straights and flushes are used. The methods are:
Ace-to-five low: The lowest possible hand is 5-4-3-2-A, called a wheel. Aces are low and straights and flushes are ignored. This is the most common method.
Ace-to-six low: Also called 6-4 low, since the lowest possible hand is 6-4-3-2-A. Aces are low and straights and flushes count as high hands.
Deuce-to-seven low: Also called 7-5 low, since the lowest possible hand is 7-5-4-3-2. Almost the direct inverse of traditional high hand poker. Aces are high and straights and flushes count as high hands. Since aces are high, A-5-4-3-2 is not a straight, but just ace-high no pair.
Deuce-to-six low: The other, mostly unused, possibility would be 6-5 low. Aces are low, straights and flushes are ignored.
Some games are played high-low split, where the player with the best traditional poker hand (called the high hand) splits the pot with the best low hand. The low hand is decided by one of the methods above. According to Morehead, Official Rules of Card Games, the low hand in high-low is generally the deuce-to-seven low, although many on-line casinos use ace-to-five low, with a qualifier, e.g., no card higher than an 8. Low hands tie more frequently than high hands, especially in community card games, so it is not uncommon for such a hand to win a small fraction of a poker pot. For example, if one player has the high hand on showdown, and two other players tie for the best low hand, the high hand wins half of the pot and each low hand wins only a quarter of the pot. Playing ace-to-five high-low greatly increases the chances of the “scoop”–winning both hands–because a flush or straight counts high, but by rule, does not count low.
The easiest method for a cheat, hard or soft, requires no ability of manipulation, but rather the profound nerve to blatantly cheat. Such methods include miscalling of hands, shorting the pot, and peeking at cards. Such cheating should not be tolerated. However, it is very difficult to prove because when confronted the cheat often calls the cheating an honest mistake.
A simple and fair way to go about preventing this kind of cheating is to simply follow the rules. For example, “Cards speak” is the common expression for the rule that no matter what the player says, it is the cards that determine who wins the pot. While it’s barely legal to call a bad hand a full house in the hopes that people will give up, the players should want to see this hand: they paid to look at it. Should such honest “mistakes” occur, it is best to ask the player to leave for that evening. If it was an honest mistake, he is in no condition to play poker (put aside your greed on this one – he will come back). If he did mean to cheat, he can’t do it from outside the game and is unlikely to come back.
The minimal skill methods of cheating occur far more often than one might suspect. It is common for a player who has folded to appoint himself tender of the pot, stacking chips, counting them, and delivering them to the winning player, just so he doesn’t have to get up. Nobody seems to notice the chip palmed in the hand of this helpful player. This is called check-copping. This happens a lot. In fact, odorless adhesive can be used for this purpose. Once again, the answer is to follow the rules. Only at the showdown should a player touch the pot. In fact, it is a considerate player who obeys the rule concerning placing chips in the pot; the player does not throw the chips in the pot (splashing) but places them in an easily counted stack in the center of the table.
Cheating can happen even when the cheat does not have the deal. In draw poker, a player can discard two cards, throwing these two in the pile of discards so as to avoid counting (or if there is no pile, throw them on top of another player’s discards), while calling for three. Not only does the cheat get the one card advantage in this hand, but before the showdown, he can ditch this extra card in his lap or vest, and thereby retain this one card advantage throughout the game. In this case, it is the dealer’s job to regulate the discards, and to ensure the fairness of the process. In a way, this is the most fair. In exchange for the huge positional advantage the dealer has, he has responsibilities to occupy his time.
A unit of play consisting of a deal, one or more rounds of betting, and possibly a showdown.
A set of five cards with a certain value. For example, the hand A♥ 10♥ 9♥ 5♥ 3♥ is a “flush”, a hand that is valuable because each card is of the same suit.
A player’s set of non-communal cards.
The second and third definitions are often used interchangeably. For example, in Texas hold ‘em, a player holding A♣ K♠, with a board of A♥ K♣ K♦ 7♠ 3♦, might say, “my hand is ace-king”. However, his best 5-card hand (the portion of the hand which determines value) is the kings-over-aces full house.
General rules
The following general rules apply to evaluating poker hands, whatever set of hand values are used.
Individual cards are ranked A (high), K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2 (low).
Individual card ranks are often used to evaluate hands that contain no pairs or other special combinations, or to rank the kickers of otherwise equal hands. The Ace is ranked low in ace-to-five and ace-to-six lowball games.
Suits have no value.
The suits of the cards are mainly used in determining whether a hand fits a certain category (specifically the Flush and Straight flush hands). In most variants, if two players have hands that are identical except for suit, then they are tied and split the pot. Sometimes a ranking called high card by suit is used for randomly selecting a player to deal.
A hand always consists of five cards.
In games where more than five cards are available to each player, hands are ranked by choosing some five-card subset according to the rules of the game, and comparing that five-card hand against the five-card hands of the other players. Whatever cards remain after choosing the five to be played are of no consequence in determining the winner. (For example, when comparing identical full houses, there are no “kickers”.)
Hands are ranked first by category, then by individual card ranks.
That is, even the minimum qualifying hand in a certain category defeats all hands in all lower categories. The smallest Two pair hand, for example, defeats all hands with just One pair or No pair. Only between two hands in the same category are card ranks used to break ties. The highest single card in each flush or straight is used to break ties (the Ace-through-five straight is the lowest straight, the Ace being a low card in this context). Within two Two pair hands, the higher pairs are first compared. If they tie, then the secondary pairs are compared, and then finally the kicker.
The order in which cards are dealt is unimportant.
For ease of explanation, hands are shown here neatly arranged, but a poker hand has the same value no matter what order the cards are received in.
Ranking of hands
The most common ranking of hands is as follows:
Royal flush: Five cards in sequence and of the same suit, starting from the Ace down to the 10. Example:A♠ K♠ Q♠ J♠ 10♠ (Note: A Royal Flush is not a category of hand in and of itself, it is simply the highest-valued straight flush, and thus also the highest-valued hand. Since it is mentioned often in the context of hand rankings, it is worth noting in this list.)
Straight flush: Any five cards in sequence and of the same suit. Example:Q♦ J♦ 10♦ 9♦ 8♦
Four of a kind: A hand with four cards of the same rank. Example:4♣ 4♦ 4♥ 4♠ 9♥
Full house: A hand with three cards of one rank and two of another. Example:8♣ 8♦ 8♠ K♥ K♠
Flush: Five cards of the same suit. Example:K♠ J♠ 8♠ 4♠ 3♠
Straight: Five cards in sequence. (The ace can be considered higher than the king, or lower than the two.) Example:5♦ 4♥ 3♠ 2♦ A♦
Three of a kind: Three cards of the same rank. Example:7♣ 7♥ 7♠ K♦ 2♠
Two pair: Two cards of one rank, two of another. Example:A♣ A♦ 8♥ 8♠ Q♠
One pair: Two cards of the same rank. Example:9♥ 9♠ A♣ J♠ 4♥
No pair: Also known as a high card hand. The following example is considered “Ace high.” Example:A♦ 10♦ 9♠ 5♣ 4♣
The hands are ranked in this order because of their relative probabilities, with rarer hands ranking above more common hands.
An additional hand type, five of a kind, exists when wild cards are used. Five of a kind outranks the straight flush (and therefore the royal flush too) making it the most valuable hand.
Variations
Some games called lowball or low poker are played where players strive not for the highest ranking of the above combinations but for the lowest ranking hand. There are three methods of ranking low hands, called Ace-to-five low, Deuce-to-seven low, and Ace-to-six low. The ace-to-five method is most common. A sub-variant within this category is high-low poker, in which the highest and lowest hands split the pot (with the highest hand taking any odd chips if the pot does not divide equally). Sometimes straights and/or flushes count in determining which hand is highest but not in determining which hand is lowest (being reckoned as a no-pair hand in the latter instance), so that a player with such a holding can win both ways and thus take the entire pot.
Certain variants use hands of only three cards, either high or low. Three-card low hands can be ranked by any of the three methods above, although with three cards they become ace-to-three (rather than ace-to-five), deuce-to-five, and ace-to-four. The ace-to-three method is the most common, just as the ace-to-five method is most common method for five cards. Three-card high hands are ranked in one of two ways: either with or without straights and flushes. Without them (which is the most common, and used such games as Chinese poker), the hands are simply no pair, one pair, and three of a kind. If you add straights and flushes, the order of hands should be changed to reflect the correct probabilities: no pair, one pair, flush, straight, three of a kind, straight flush. This order is used, for example, in Mambo stud.
Some poker games are played with a deck that has been stripped of certain cards, usually low-ranking ones. For example, the Australian game of Manila uses a 32-card deck in which all cards below the rank of 7 are removed, and Mexican stud removes the 8s, 9s, and 10s. In both of these games, a flush ranks above a full house, because having fewer cards of each suit available makes flushes rarer.
Some games add one or more unconventional hands, or have special exceptions to the rules above. For example, in the game of Pai gow poker as played in Nevada, a Wheel (5-4-3-2-A) ranks above a king-high straight, but below an ace-high straight. This is not the case in California, where the nearly identical game is played under the name Double-hand poker using traditional hand values.
The standard poker hands in descending order.
