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Posted in Low hands at 7:35 am on 2 Feb 2009

Ace of diamond

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.

This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

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Posted in Poker at 9:27 am on 1 Feb 2009

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.

This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.

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