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I am studying probability at the moment, and find myself often having to deal with calculating the probability of poker hands, and thus have to be crystal clear on the definition of poker hands. A straight is supposed to be any sequence of 5 cards. However, the following hands are excluded from being considered straights: K, A, 2, 3, 4; Q, K, A. How to Play Poker. Texas Holdem Straight Ace Low, free lost slot machine, william hill casino download mac, belterra casino jobs cincinnati ohio. Under deuce-to-seven low rules, an ace always ranks high (so 5 ♠ 4 ♠ 3 ♠ 2 ♠ A ♠ is an ace-high flush). Under ace-to-six low rules, an ace always rank low (so A. Can Ace Be Low In Poker Straight. Company Registration Number C50978. 2.3 Dazzletag Entertainment Limited is licensed to provide remote casino facilities to customers in Great Britain.

Poker Hands Ace Low Straight

Lowball or low poker is a variant of poker in which the normal ranking of hands is inverted. Several variations of lowball poker exist, differing in whether aces are treated as high cards or low cards, and whether straights and flushes are used.

Low-poker ranking[edit]

Lowball inverts the normal ranking of poker hands. 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.

Lowball variants[edit]

The most popular forms of lowball are ace-to-five lowball (also known as California lowball), and deuce-to-seven lowball (also known as Kansas City lowball). Ace-to-five lowball gets its name because the best hand at that form is 5-4-3-2-A. In ace-to-five lowball straights and flushes do not prevent a hand from being low. You win by simply having the five lowest cards. Deuce-to seven lowball gets its name because the best hand at that form is 7-5-4-3-2 (not of the same suit).^[1]

Ace-to-five[edit]

Ace-to-five low is the most common method for evaluating low hands in poker, nearly universal in U.S. 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'. 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.' Some players refer to a hand containing a 4-3-2-A (in ace-to-five low or ace-to-six low) or a 5-4-3-2 (in deuce-to-seven low) as a 'nut' (thus, in ace-to-five or ace-to-six, a 7-4-3-2-A would be called a 'seven nut').

High-low split games with ace-to-five low are usually played cards speak, that is, without a declaration. Frequently a qualifier 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 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 the two wheels split the low half, hence the steel wheel wins 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.

Wheel[edit]

A wheel or bicycle is the poker hand 5-4-3-2-A, regardless of suit, which is a five-high straight, the lowest-ranking of the straights.

In ace-to-five low poker, where aces are allowed to play as low and straights and flushes do not count against a hand's 'low' status, this is the best possible hand. In high/low split games, it is both the best possible low hand and a competitive high hand. The best deuce-to-seven low hand, 7-5-4-3-2, is also sometimes called 'the wheel'.

Ace-to-six[edit]

Ace-to-six low is not as commonly used as the ace-to-five low method, but it is common among home games in the eastern region of the United States, some parts of the mid-west, 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 are accounted for (as compared to Ace-to-five) and count as 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 (also known as a Chicago Wheel or a 64), 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).

High-low split games with ace-to-six low are usually played with a declaration.

Deuce-to-seven[edit]

Deuce-to-seven low is often called Kansas City lowball (the no-limit single-draw variation) or just 'low poker'. It is almost the direct opposite of standard poker: high hand loses. It is not as commonly used as the ace-to-five low method.

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 deuce-to-seven low, straights and flushes count as high (and are therefore bad). Aces are always high (and therefore bad).

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 high, so Q-8-5-4-3 defeats A-8-5-4-3. 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 3-3-6-5-2.

Since the ace always plays high, A-5-4-3-2 (also called the Nut Ace) is not considered a straight; is simply ace-high no pair (it would therefore lose to any king-high, but would defeat A-6-4-3-2).

The best possible hand is 7-5-4-3-2 (hence the name deuce-to-seven low), followed by 7-6-4-3-2, 7-6-5-3-2, 7-6-5-4-2, 8-5-4-3-2, 8-6-4-3-2, etc. Hands are sometimes referred to by their absolute rank, e.g. 7-5-4-3-2 (#1, said 'number one', see table).

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 8-7-5-4-2.

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, 8-7-6-4-2 would be referred to as a 'rough eight,' but 8-5-4-3-2 would be referred to as a 'smooth eight.'

Wild cards are rarely used in deuce-to-seven games, but if used they play as whatever rank would make the lowest hand. Thus, in 7-6-Joker-3-2, the joker plays as a 4, while in Joker-5-4-3-2 it would play as a 7 (a six would make a straight).

High-low split games with deuce-to-seven low are usually played with a declaration.

See also[edit]

References[edit]

1. ^'Low Ball Poker Variants'. WorldSeriesOfPoker.com. Retrieved 2009-09-27.

One of the games that have seen a flurry of interest over the last few months is Six Plus Hold’em, also referred to as Short Deck Poker.

Six Plus Hold’em is an exciting and fun poker variant based on Texas Hold’em where the game is played with a deck of 36 cards as opposed to the usual 52 cards in traditional hold’em. Deuces through fives are removed from the deck giving the game its name Six Plus Hold’em/6+ or Short Deck Poker.

Aces are played both low and high, making both a low-end straight A6789 and the high JQKTA. Also, with a shortened deck, the game changes a bit in terms of hand rankings and rules. A Flush beats a Full House and in most places where Six Plus is offered, a Set or a Three-of-a-Kind beats a Straight.

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Because the low cards are removed, there are more playable hands compared with traditional Hold’em, and so it is more of an action-orientated game. Not only are the hand rankings modified but so are the mathematics and odds/probabilities of the majority of hands.

Before we talk about the odds and probabilities of some of the hands, let’s have a look at the hand rankings offered in Six Plus Hold’em (ranked from the highest hand to the lowest):

Six Plus Hold’em Hand Rankings Comparison

What Is A Straight Poker

One may wonder why a Flush is ranked higher than a Full House or why Three-of-a-Kind is ranked above a Straight. That’s because in Six Plus Hold’em, a Flush is harder to make since there are only nine cards in each suit instead of thirteen. Similarly, the stripped-deck also means that the remaining 36 cards are much closer in rank and so there will be smaller gaps between the cards in the hand and those on the board. This increases the probability of a hand becoming a Straight and hence Straights are ranked higher than a Three-of-a-Kind.

However, it is worth noting that the rules vary from game to game. For example, in the Short Deck variant offered in the Triton Poker Series, a Straight is ranked higher than a Three-of-a-Kind like in traditional hold’em even though mathematically a player would hit a Straight more.

One of the reasons why an operator would rank a Straight higher than Three-of-a-Kind is because it would generate more action. If Trips were ranked higher, a player with a Straight draw would have no reason to continue the hand as he or she would be drawing dead.

Let’s take a look at the odds/probabilities of hitting some of the hands:

Six Plus Hold’em vs Traditional Hold’em (Odds and Probabilities comparison)

As you can see in the table above, the odds of being dealt pocket Aces are doubled as you now get the powerful starting hand dealt once in every 105 hands, as opposed to once in every 221 hands with a full 52-card deck. However, the probability of winning a hand with aces vs a random hand decreases from 85% in traditional hold’em to 77% in Six Plus Hold’em.

The probability of hitting a Set with pocket pairs increases to 18% from 11.8%, and the probability of hitting an open-ended Straight by the River also increases to 48% in 6+ Hold’em compared with 31.5% in traditional Hold’em.

Let’s now have a look at some of the pre-flop all-in hand situations:

Six Plus Hold’em vs Traditional Hold’em (Hands Comparison)

As mentioned earlier, the equities run very close to each other with the shortened deck and so a hand like Ace-King versus Jack-Ten is almost a coin-flip, whereas the former is a favorite in Texas Hold’em. Again, a hand like Ace-King versus a pocket pair like Tens is a coin-flip in 6+, whereas a pocket pair is a slight favorite in normal Hold’em.

Now, let’s take a look at the probabilities when a connected or wet Flop is dealt:

Player 1: Ac Ks
Player 2: Td 9h

Flop: Kh 8c 7d

In traditional Hold’em, Ace-King is a favorite with 66% and Player 2 is chasing the Straight draw with a close to 34% chance of hitting it. However, the probability significantly changes in both variants of 6+ Hold’em. In a variant where Trips beat a Straight, Player 1 is only a slight favorite with just 52% (more like a coin-flip). However, in a Short Deck game where a Straight beat Trips, Player 2 is now slightly favorite with 52% chance of hitting a Straight by the river.

Another hand:

Player 1: As Ah
Player 2: Qd Jh

Ace High Straight

Flop: Ad Th 9s

Ace Low Straight Poker Tournaments

It’s pretty clear when it comes to normal Hold’em, but in a Short Deck variant where Trips beat a Straight, Player 2 is drawing dead as opposed to the other variant where Player 2 still has a 32% of chance of completing a Straight by the River.