Holdem Equity Calculator Range
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*Holdem Equity Calculator Range Formula
*Holdem Equity Calculator Range Calculator
*Holdem Equity Calculator Range Extender
*Holdem Equity Calculator Range 30
Poker Range Calculator. The Poker Hand Range Calculator calculates Texas Hold’em hand ranges from percentage values and vice-versa. All this online and free. Setup a poker range by selecting the hands in the poker hand calculator and share the link which is automatically generated for you. Refer to our Poker Hand Calculator FAQ page. Range Equity Calculator This calculator allows the user to calculate range vs range equity in texas hold’em poker. Simulate different board runouts and hole cards, and learn how different ranges are affected. Weighted Ranges. Weighted ranges are supported for hold’em, omaha, and omaha hi/lo. Weighted ranges allow you to specify the relative probabilities of hands appearing in a range. For instance, if we want a range where aces and kings are always played but queens are only played half the time, we could write ’AA-KK@100.Generic Syntax DocumentationExtensive ExamplesGeneric Syntax DocumentationGames Supported
Generic Syntax is currently available for all games.
Generic Syntax may also be used to specify the board and dead cards.Ranks and Suits
*The standard ranks are ’AKQJT98765432’.
*The standard suits are ’shdc’.
*Suit variables are ’wxyz’. See the examples below for how these work.
*All other letters not listed above are rank variables. ’R’ for Rank, ’O’ for Other rank, and ’N’ for aNother rank are reasonable choices. See the examples below for how these work.
*’*’ is the wildcard rank, and means ’any rank’.Here are some example 4-card (omaha) ranges using only the above:
*AsKhJd2c- a specific hand where all cards are known.
*AA- a hand with at least two aces in it.
*AxAyxy- double-suited Aces.
*sshh- a hand with two spades and two hearts.
*wxy- a hand with at least three suits.
*****- a completely random hand. This can be written more simply as ’*’.
*RRON- A hand with one pair and two non-paired side cards.
*RxRyOxOy- A double-suited hand with two pairs in it.Percent of Hands
ProPokerTools has its own ranking of hands for omaha, omaha hi/lo, hold’em, five-card omaha, and five-card omaha hi/lo. Here are a few examples of how to generate ranges using these rankings:
*15%- The top 15 percent of hands (full-ring)
*5%-10%- Hands between the top 5 and top 10 percent of hands (full-ring)
*1%-100%- All hands
12 casino rise prospect vale tas. The default rankings are for full-ring games. Also provided are rankings for 6-handed games. To specify the 6-handed rankings, simply add ’6h’ after the percentage sign:
*15%6h- The top 15 percent of hands (6-handed)
*5%-10%6h- Hands between the top 5 and top 10 percent of hands (6-handed)
Text files containing the hand orderings can be downloaded below:
*Omaha Hi10-handed|6-handed|3-handed|vs random hand
*Omaha Hi/Lo10-handed|6-handed|3-handed|vs random hand
*Hold’em10-handed|6-handed|3-handed|vs random hand|equity squared
*Five Card Omaha9-handed|6-handed|vs random hand
*Five Card Omaha Hi/Lo9-handed|6-handed|vs random handIf you are curious about how these orderings were created, you can check out these blog posts:Combining Ranges
There are three ways to combine multiple ranges.
*Use ’,’ (read as ’or’) to get the union of two ranges. For instance, in hold’em, ’JJ, AK’ means ’Jacks OR Ace-King.’
*Use ’:’ (read as ’and’) to get the intersection of two ranges. For instance, in hold’em, ’xx:15%’ means ’hands that are suited AND in the top 15% of hands.’
*Use ’!’ (read as ’not’) to get the difference of two ranges. For instance, in omaha, ’AA!AAA’ means ’hands with two aces NOT three aces.’Note that all three combinators (’,’, ’:’, and ’!’) can be used together. For instance, in omaha, ’AA:xxyy, JJ!JJJ, KK’ means ’double suited aces or a hand with exactly two jacks or a hand with at least two kings.’Rank Spans
Rank spans allow you to specify cards that vary from a start rank to an end rank. This is easier explained with a few omaha hand examples:
*KQJT-T987- Equivalent toKQJT,QJT9,JT98,T987
*AAJT-AA87- Equivalent toAAJT,AAT9,AA98,AA87It is possible to use multiple rank spans in the same hand if they are enclosed in square brackets. For instance:
*[A-Q][J-T]23- Equivalent toAJ23, AT23, KJ23, KT23, QJ23, QT23Furthermore, you can use a trailing plus or minus to indicate ascending or descending ranges:
*T8+- Equivalent toT8,J9,QT,KJ,AQ
*664-- Equivalent to664,553,442Finally, suits and suit variables are allowed, as long as both sides match:
*TsJs-KsQs- Equivalent toTsJs,JsQs,QsKs
*[Kx-Jx]x- Equivalent toKxx, Qxx, JxxRank and Suit Lists
Occasionally, you want to have a card match a particular set of ranks, suits, or cards. Here are some examples:
*[2,3,4]- Equivalent to2-4
*[2,4,6,8,T][3,5,7,9]- A hand with at least one odd and one even number card.
*[As,Ah,K]K- Equivalent toAsK, AhK, KKCard Order
Card order is preserved for games where the order of cards is significant (stud, stud-8). Card order is ignored for other games (hold’em, omaha, omaha-8). Card order is also preserved for flop game boards on the turn and river.Card order in Stud Games
In seven-card stud, the order of the cards as they come out is significant except in the case of the first two cards. For instance, ’KsJhTd’ and ’KsTdJh’ are NOT considered the same hand. ’KsJhTd’ and ’JhKsTd’ ARE considered the same hand, because the order of the first two cards is not considered significant. When combining ranges, card order is respected for cards on third-street and beyond. For instance, ’KQJ:xxy’ implies a stud hand with a suited king-queen in the hole and an off-suit jack showing (an equivalent way to write it wold be ’KxQxJy’).Card Order in Flop Games
There is no concept of card order in generic range syntax for Hold’em and Omaha. For instance, in Hold’em, ’KJ:hd’ translates directly to ’a hand with a king and a jack AND a hand with a heart and a diamond’. As such, it is equivalent to ’KhJd, KdJh’ - it is NOT the same as ’KhJd’. Similarly, in Omaha, if one wanted to specify a hand with ace-high flush potential in hearts single-suited, one would write ’Ahhxy’ - it is NOT correct to write ’A:hhxy’, as that would include hands such as ’AcJs7h6h’.Card Order on Flop Game Boards
For games with a shared board (hold’em, omaha, omaha-8), the order of the first three cards (the ’flop’) is not significant, while the order of the last two cards (the ’turn’ and ’river’) is significant. For instance, the boards ’KKJ’ and ’JKK’ are equivalent - they translate to ’a flop with two kings and one jack’. However, the boards ’sshds’ and ’sshsd’ are NOT equivalent - the first board has a flop with two spades and one heart, a diamond on the turn, and a spade on the river, while the second board has the same flop but a SPADE on the turn and a DIAMOND on the river.Card Counts
For games where the number of cards in a hand is always known (hold’em always has 2 cards, omaha always 4), ranges are always implicitly ’topped off’ with wildcards to bring the number of cards up to the correct number. For instance, in omaha, ’AA’ is equivalent to ’AA**’, and ’KJ:xxy’ is equivalent to ’KJ**:xxy*’.
For stud games, card counts can vary. For stud and stud-8, card counts are brought up to a minimum of three cards, but no other topping-off is performed. For example, ’KJ’ is equivalent to ’KJ*’ (because all hands are brought to a minimum size of three). In addition, sub-ranges can only be combined if they have the same number of cards listed. For instance, ’KJ84:xxyz’ is legal, whereas ’KJ84:xx’ is not.No Pair Constraint
You can enclose any number of cards in a subrange in curly braces to indicate that there are no paired cards. For instance:
*A{A$W$W}- an omaha hand containg two aces and two non-paired wheel cards
*{$W$W 5s}- a stud hand with a wheel draw headed by the five of spadesSpecial Stud Syntax
The pipe ’|’ character can be used to delineate separate ranges for portions of a stud hand. For instance:
*AA-TT, ss | Ks-A big pair or two spades in the hole and a king of spades showing
*xx:[9-Q][9-Q] | RR | s, K-Suited medium-large cards in the hole and a pair showing on fourth street followed by a spade or a king on fifth streetNote that each of the range pieces separated by ’|’ are completely independent of each other. This means, for instance, that ’xx|xx’ does NOT mean four suited cards - it means two suited cards in the hole and two suited cards showing.Syntax MacrosSyntax macros are a useful way to avoid typing in the same string of characters over and over again. Macros begin with a $ and may contain numbers and letters. Macros may reference other macros (but no macro may reference itself). The Generic Syntax comes with the following built-in macros:MacroMeaningGamesTranslates toExample$ssuited constraintHold’em:xxAK$s- ace-king suited$ooff-suit constraintHold’em:xyJT$o- jack-ten off-suit$Bbig cardAll[A-J]$B$B- two big cards$Mmiddle cardAll[T-7]$M$M- two middle cards$Zsmall cardAll[6-2]$Z$Z- two small cards$Llow cardAll[A,2,3,4,5,6,7,8]$L$L$L$L!RRRR- four cards that can make a low (omaha hi/lo).$Nno-low cardAll[K-9]$N$N$N$N- four cards that cannot make a low (omaha hi/lo).$Fface cardAll[K-J]$F$F- two face cards$Rbroadway cardAll[A-T]$R$R- two broadway cards$Wwheel cardAll[A,2,3,4,5]$W$W- two wheel cards$dsdouble-suited constraintOmaha, Omaha Hi/Lo:xxyyAA$ds- double-suited aces$sssingle-suited constraintOmaha, Omaha Hi/Lo:xxyzAKQJ-9876$ss- single-suited medium-to-large rundown (hand has three suits)$npno pairs constraintOmaha, Omaha Hi/Lo!RR15%$np- a hand in the top 15% with no paired cards$opone pair constraintOmaha, Omaha Hi/Lo:RRON5%$op- a hand in the top 5% with exactly one pair (and no trips)$tptwo pair constraintOmaha, Omaha Hi/Lo:RROO20%tp- a hand in the top 20% with two pair$ntno trips constraintOmaha, Omaha Hi/Lo!RRR50%$nt- a hand in the top 50% with no trips (or quads)$0ga zero-gap rundownOmaha, Omaha Hi/LoAKQJ-$0g:10%- a zero-gap rundown in the top 10% of hands$1ga one-gap rundownOmaha, Omaha Hi/Lo(AKQT-, AKJT-, AQJT-)$1g:20%- a one-gap rundown in the top 20% of hands$2ga two-gap rundownOmaha, Omaha Hi/Lo(AKQ9-, AKT9-, AJT9-)$2g:ss- a two-gap rundown with two or more spadesWeighted Ranges
Weighted ranges are supported for hold’em, omaha, and omaha hi/lo.
Weighted ranges allow you to specify the relative probabilities of hands appearing in a range. For instance, if we want a range where aces and kings are always played but queens are only played half the time, we could write ’AA-KK@100,QQ@50’.Generic Syntax Odds and Ends
*Case (’A’ vs. ’a’) is ignored. Nevertheless, ranges are easier to read if ranks and rank variables are capitalized while suit variables are in lower case.
*Aces are always high. This means that ’A-5’ is equivalent to ’[A,K,Q,J,T,9,8,7,6,5]’. If you want wheel cards, you can use [A,2,3,4,5] instead.
*Suits and suit variables are attached to the rank on their left. If the symbol immediately to the left is not a rank (A, K, ..), rank variable (R, O,..), or wildcard rank (*), then a wildcard rank is implicit. For example, ’ss’ is equivalent to ’*s*s’, ’KsTsxx’ is equivalent to ’KsTs*x*x’, and ’sJhhd’ is equivalent to ’*sJh*h*d’.
*Suit variables will not bind to any suits listed in a range. For instance, ’ssxx’ means two spades and two cards of some other suit - the ’x’ will not assume the value of spades. Similarly, rank variables will not bind to any ranks listed in a range. For instance, ’AARR’ means aces with another pair - it does not include four aces.
*Parentheses (’(’ and ’)’) have the highest precedence, and can be used for grouping. For instance, ’(AK, JT):xx’ is equivalent to ’AxKx, JxTx’.
*Constraints (’!’ and ’:’) have the next highest precedence after parentheses, and are left-associative. For instance, ’AK,*:xx!RR’ is equivalent to ’AK, (*:xx)!RR’
*Commas (’,’) have the lowest precedence.Key Differences vs. Classic Syntax
Here are a few quick notes for those of you who have made extensive use of the classic ProPokerTools range of hands syntax:Hold’em Players
*At long last, hold’em range syntax gets as much expressive power as omaha. Hooray!
*’s’ and ’o’ no longer mean suited and off-suit. ’s’ always means spades. If you want a suited hand, you have two options - you can use suit variables (’AxKx’ for ace-king suited), or the suited macro (’AK$s’). For offsuit, use ’AxKy’ or ’AK$o’.Omaha Players
*If less than four cards are specified, wildcards (’*’) are added for you. Where you used to write ’AA**’, you can now write ’AA’. Where a random hand was ’****’, ’*’ will now suffice.
*’&’ (the ’and’ combinator) has been replaced with ’:’. This is partly to avoid confusion with the old syntax, and partly because the colon just feels better.
*Operator precedence has been fixed to match users’ expectations. In the old syntax, errors seemed almost more common than correct usage when combining ’&’, ’,’ and ’!’. Constraints (’!’ (’NOT’) and ’:’ (’AND’)) now have high precedence and are left associative. This means that ’AK:15%, JT:30%, KQ!Ks’ means what it looks like - namely, ’ace-king in the top 15% or jack-ten in the top 30% or king-queen without the king of spades’. The most common case where you need parentheses in the generic syntax is when you apply a constraint to a number of subranges, such as ’(AA, AK):xxyy’ for ’aces or ace-king double suited’.Stud Players
*Stud now has the same expressiveness as other games.
*There is no longer a limitation that upcards be specific cards (although there is a maximum number of hands allowed in any range).Extensive ExamplesHold’em Examples
*AsKh- Ace of spades and king of hearts
*AA- A pair of aces
*AA,KK,AK- A pair of aces, a pair of kings, or ace-king
*AxJx- Ace-jack suited
*AJ$s- Another way to write ace-jack suited
*AxTy- Ace-ten off-suit
*AT$o- Another way to write ace-ten off-suit
*K*h- A hand with any king and another card that is a heart
**- A random hand
*15%- A hand in the top 15% of hands
*30%-50%- A hand between the top 30 and top 50 percent of hands.
*K- A hand with a king in it
*ss- A hand with two spades in it
*JR- A hand with a jack and some other rank
*hx- A hand with one heart and one other suit
*TT-77- A medium pair
*Q+- A hand with a queen, king, or ace in it
*[T+][T+]- A hand with two broadway cards in it
*A-Q- A hand with an ace, a king, or a queen
*[A-J][2-5]- A hand with an A, K, Q, or J and a 2, 3, 4, or 5
*K[2s,Jc,T]- A hand with a king and a 2 of spades, jack of clubs, or ten
*J[T-]- A jack-high hand
*A!AK- A hand with an ace but not ace king
*25%:xx- A hand in the top 25% of hands that is suited
*A:15%!AA- A hand with an ace in the top 15% of hands but not a pair of aces.
*40%!AA-22- A hand in the top 40% of hands that is not a pair
*(A, ss):15%- An ace or a hand with two spades in the top 15% of handsOmaha ExamplesHoldem Equity Calculator Range Formula
*AsKhJd2c- Ace of spades, king of hearts, jack of diamonds, and two of clubs
*AA- A hand with at least two aces
*AA,KK- A hand with at least two aces or two kings
*AxAyxy- Double-suited aces
*AA$ds- Another way to write double-suited aces
*AxAyxz- Single-suited aces
*AA$ss- Another way to write single-suited aces
*KJ*ss- Any king, any jack, and two other cards that are spades
**- A random hand
*15%- A hand in the top 15% of hands
*30%-50%- A hand between the top 30 and top 50 percent of hands.
*K- A hand with a king in it
*ss- A hand with two spades in it
*JRON- A hand with a jack and three other ranks
*RROO- A hand with two pairs in it
*hhxx- A hand with two hearts and two of some other suit
*TT-77- A hand with at least two tens, nines, eights, or sevens in it
*Q+- A hand with at least one queen, king, or ace
*9876-- A medium to small rundown
*A-Q- A hand with an ace, a king, or a queen
*[A-J][2-5]33- A hand with an A, K, Q, or J and a 2, 3, 4, or 5 and two threes
*K[2s,Jc,T]- A hand with a king and a 2 of spades, jack of clubs, or ten
*J[T-][T-][T-]- A jack-high hand
**$np- A hand with no paired cards
**$nt- A hand with no trips
*AA!AAA- A hand with exactly two aces
*AA$nt- Another way to write a hand with exactly two aces
*AARR- A hand with two aces and another pair (but not four aces)
*{$L$L$L$L}- Four non-paired cards that can make a lo
*A!K- A hand with an ace but no king
*25%:wxyz- A hand in the top 25% of hands that is monotone
*A:15%!AA- A hand with an ace in the top 15% of hands but not a pair of aces.
*40%!RR- A hand in the top 40% of hands with no paired cards
*([T+][T+][T+], ss):15%- At least three big cards or a hand with two spades in the top 15% of hands
*(Ax[2x-5x], 2x3x-2x5x, 3x4x-3x5x, 4x5x):30%-50%- A hand with at least two suited wheel cards in the top 30 to 50 percent of handsStud Examples
*AsKh2c8h9d- Ace of spades and king of hearts in the hole, followed by the two of clubs, eight of hearts, and nine of diamonds.
*AAK- Aces in the hole and a king up.
*AA-JJ, dd | 8d- A big pair or two diamonds in the hole and the eight of diamonds up
*xxxx- A four-flush
*x x Rx x R- Flush draw that paired the door-card on fifth street.
*{$L$L 8s6c}- A low draw on fourth street with the eight of spades and six of clubs showingBoard Examples
*AsKdJh- A flop with the ace of spades, the king of diamonds, and the jack of hearts
*A**!AA*- A flop with exactly one ace
****![T+]**- A flop with no card ten or higher
*RON- A flop with no pairs
*RRO- A flop with one pair
*234+- A straight-friendly flop
*RONR- A board with no pairs on the flop that paired on the turn
*xyz- A rainbow flop
*xxx- A monotone flopContact us·Privacy Policy·BlogCopyright © 2005-2017 ProPokerTools. All rights reserved.What is Equity?
Equity is best defined as the the share of the pot that you can expect to win in the long run, based on the strength of your hand versus that of your opponent, with cards still to come. If you get all in pre-flop with AA and your opponent holds KK and there’s $400 in the middle, a tool like Pokerstove will tell you that you’re an 82% shot to win the hand when the flop, turn and river are dealt. What that means is that you can expect to take $328 of the $400 in the long run, and so your equity in the pot is $328.
However, the community cards can quickly change your equity in a hand. If a K comes down on the flop, your equity quickly drops to less than 10%. When you get to the river, your equity is always 100% when you’re ahead, 0% when you’re behind and 50% if you have the same holding as your opponent.Why Calculate Equity?
Calculating your equity in a hand is a key skill in poker. Its imperative that you know your chance of winning the hand at showdown as the action progresses and to be able to compare this to both the pot odds and implied odds on offer, so you can make good, positive expected value decisions on every street in the hand. Bad or inexperienced players will often make decisions based on ‘feel’, or what hand they think their opponent mig
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*Holdem Equity Calculator Range Formula
*Holdem Equity Calculator Range Calculator
*Holdem Equity Calculator Range Extender
*Holdem Equity Calculator Range 30
Poker Range Calculator. The Poker Hand Range Calculator calculates Texas Hold’em hand ranges from percentage values and vice-versa. All this online and free. Setup a poker range by selecting the hands in the poker hand calculator and share the link which is automatically generated for you. Refer to our Poker Hand Calculator FAQ page. Range Equity Calculator This calculator allows the user to calculate range vs range equity in texas hold’em poker. Simulate different board runouts and hole cards, and learn how different ranges are affected. Weighted Ranges. Weighted ranges are supported for hold’em, omaha, and omaha hi/lo. Weighted ranges allow you to specify the relative probabilities of hands appearing in a range. For instance, if we want a range where aces and kings are always played but queens are only played half the time, we could write ’AA-KK@100.Generic Syntax DocumentationExtensive ExamplesGeneric Syntax DocumentationGames Supported
Generic Syntax is currently available for all games.
Generic Syntax may also be used to specify the board and dead cards.Ranks and Suits
*The standard ranks are ’AKQJT98765432’.
*The standard suits are ’shdc’.
*Suit variables are ’wxyz’. See the examples below for how these work.
*All other letters not listed above are rank variables. ’R’ for Rank, ’O’ for Other rank, and ’N’ for aNother rank are reasonable choices. See the examples below for how these work.
*’*’ is the wildcard rank, and means ’any rank’.Here are some example 4-card (omaha) ranges using only the above:
*AsKhJd2c- a specific hand where all cards are known.
*AA- a hand with at least two aces in it.
*AxAyxy- double-suited Aces.
*sshh- a hand with two spades and two hearts.
*wxy- a hand with at least three suits.
*****- a completely random hand. This can be written more simply as ’*’.
*RRON- A hand with one pair and two non-paired side cards.
*RxRyOxOy- A double-suited hand with two pairs in it.Percent of Hands
ProPokerTools has its own ranking of hands for omaha, omaha hi/lo, hold’em, five-card omaha, and five-card omaha hi/lo. Here are a few examples of how to generate ranges using these rankings:
*15%- The top 15 percent of hands (full-ring)
*5%-10%- Hands between the top 5 and top 10 percent of hands (full-ring)
*1%-100%- All hands
12 casino rise prospect vale tas. The default rankings are for full-ring games. Also provided are rankings for 6-handed games. To specify the 6-handed rankings, simply add ’6h’ after the percentage sign:
*15%6h- The top 15 percent of hands (6-handed)
*5%-10%6h- Hands between the top 5 and top 10 percent of hands (6-handed)
Text files containing the hand orderings can be downloaded below:
*Omaha Hi10-handed|6-handed|3-handed|vs random hand
*Omaha Hi/Lo10-handed|6-handed|3-handed|vs random hand
*Hold’em10-handed|6-handed|3-handed|vs random hand|equity squared
*Five Card Omaha9-handed|6-handed|vs random hand
*Five Card Omaha Hi/Lo9-handed|6-handed|vs random handIf you are curious about how these orderings were created, you can check out these blog posts:Combining Ranges
There are three ways to combine multiple ranges.
*Use ’,’ (read as ’or’) to get the union of two ranges. For instance, in hold’em, ’JJ, AK’ means ’Jacks OR Ace-King.’
*Use ’:’ (read as ’and’) to get the intersection of two ranges. For instance, in hold’em, ’xx:15%’ means ’hands that are suited AND in the top 15% of hands.’
*Use ’!’ (read as ’not’) to get the difference of two ranges. For instance, in omaha, ’AA!AAA’ means ’hands with two aces NOT three aces.’Note that all three combinators (’,’, ’:’, and ’!’) can be used together. For instance, in omaha, ’AA:xxyy, JJ!JJJ, KK’ means ’double suited aces or a hand with exactly two jacks or a hand with at least two kings.’Rank Spans
Rank spans allow you to specify cards that vary from a start rank to an end rank. This is easier explained with a few omaha hand examples:
*KQJT-T987- Equivalent toKQJT,QJT9,JT98,T987
*AAJT-AA87- Equivalent toAAJT,AAT9,AA98,AA87It is possible to use multiple rank spans in the same hand if they are enclosed in square brackets. For instance:
*[A-Q][J-T]23- Equivalent toAJ23, AT23, KJ23, KT23, QJ23, QT23Furthermore, you can use a trailing plus or minus to indicate ascending or descending ranges:
*T8+- Equivalent toT8,J9,QT,KJ,AQ
*664-- Equivalent to664,553,442Finally, suits and suit variables are allowed, as long as both sides match:
*TsJs-KsQs- Equivalent toTsJs,JsQs,QsKs
*[Kx-Jx]x- Equivalent toKxx, Qxx, JxxRank and Suit Lists
Occasionally, you want to have a card match a particular set of ranks, suits, or cards. Here are some examples:
*[2,3,4]- Equivalent to2-4
*[2,4,6,8,T][3,5,7,9]- A hand with at least one odd and one even number card.
*[As,Ah,K]K- Equivalent toAsK, AhK, KKCard Order
Card order is preserved for games where the order of cards is significant (stud, stud-8). Card order is ignored for other games (hold’em, omaha, omaha-8). Card order is also preserved for flop game boards on the turn and river.Card order in Stud Games
In seven-card stud, the order of the cards as they come out is significant except in the case of the first two cards. For instance, ’KsJhTd’ and ’KsTdJh’ are NOT considered the same hand. ’KsJhTd’ and ’JhKsTd’ ARE considered the same hand, because the order of the first two cards is not considered significant. When combining ranges, card order is respected for cards on third-street and beyond. For instance, ’KQJ:xxy’ implies a stud hand with a suited king-queen in the hole and an off-suit jack showing (an equivalent way to write it wold be ’KxQxJy’).Card Order in Flop Games
There is no concept of card order in generic range syntax for Hold’em and Omaha. For instance, in Hold’em, ’KJ:hd’ translates directly to ’a hand with a king and a jack AND a hand with a heart and a diamond’. As such, it is equivalent to ’KhJd, KdJh’ - it is NOT the same as ’KhJd’. Similarly, in Omaha, if one wanted to specify a hand with ace-high flush potential in hearts single-suited, one would write ’Ahhxy’ - it is NOT correct to write ’A:hhxy’, as that would include hands such as ’AcJs7h6h’.Card Order on Flop Game Boards
For games with a shared board (hold’em, omaha, omaha-8), the order of the first three cards (the ’flop’) is not significant, while the order of the last two cards (the ’turn’ and ’river’) is significant. For instance, the boards ’KKJ’ and ’JKK’ are equivalent - they translate to ’a flop with two kings and one jack’. However, the boards ’sshds’ and ’sshsd’ are NOT equivalent - the first board has a flop with two spades and one heart, a diamond on the turn, and a spade on the river, while the second board has the same flop but a SPADE on the turn and a DIAMOND on the river.Card Counts
For games where the number of cards in a hand is always known (hold’em always has 2 cards, omaha always 4), ranges are always implicitly ’topped off’ with wildcards to bring the number of cards up to the correct number. For instance, in omaha, ’AA’ is equivalent to ’AA**’, and ’KJ:xxy’ is equivalent to ’KJ**:xxy*’.
For stud games, card counts can vary. For stud and stud-8, card counts are brought up to a minimum of three cards, but no other topping-off is performed. For example, ’KJ’ is equivalent to ’KJ*’ (because all hands are brought to a minimum size of three). In addition, sub-ranges can only be combined if they have the same number of cards listed. For instance, ’KJ84:xxyz’ is legal, whereas ’KJ84:xx’ is not.No Pair Constraint
You can enclose any number of cards in a subrange in curly braces to indicate that there are no paired cards. For instance:
*A{A$W$W}- an omaha hand containg two aces and two non-paired wheel cards
*{$W$W 5s}- a stud hand with a wheel draw headed by the five of spadesSpecial Stud Syntax
The pipe ’|’ character can be used to delineate separate ranges for portions of a stud hand. For instance:
*AA-TT, ss | Ks-A big pair or two spades in the hole and a king of spades showing
*xx:[9-Q][9-Q] | RR | s, K-Suited medium-large cards in the hole and a pair showing on fourth street followed by a spade or a king on fifth streetNote that each of the range pieces separated by ’|’ are completely independent of each other. This means, for instance, that ’xx|xx’ does NOT mean four suited cards - it means two suited cards in the hole and two suited cards showing.Syntax MacrosSyntax macros are a useful way to avoid typing in the same string of characters over and over again. Macros begin with a $ and may contain numbers and letters. Macros may reference other macros (but no macro may reference itself). The Generic Syntax comes with the following built-in macros:MacroMeaningGamesTranslates toExample$ssuited constraintHold’em:xxAK$s- ace-king suited$ooff-suit constraintHold’em:xyJT$o- jack-ten off-suit$Bbig cardAll[A-J]$B$B- two big cards$Mmiddle cardAll[T-7]$M$M- two middle cards$Zsmall cardAll[6-2]$Z$Z- two small cards$Llow cardAll[A,2,3,4,5,6,7,8]$L$L$L$L!RRRR- four cards that can make a low (omaha hi/lo).$Nno-low cardAll[K-9]$N$N$N$N- four cards that cannot make a low (omaha hi/lo).$Fface cardAll[K-J]$F$F- two face cards$Rbroadway cardAll[A-T]$R$R- two broadway cards$Wwheel cardAll[A,2,3,4,5]$W$W- two wheel cards$dsdouble-suited constraintOmaha, Omaha Hi/Lo:xxyyAA$ds- double-suited aces$sssingle-suited constraintOmaha, Omaha Hi/Lo:xxyzAKQJ-9876$ss- single-suited medium-to-large rundown (hand has three suits)$npno pairs constraintOmaha, Omaha Hi/Lo!RR15%$np- a hand in the top 15% with no paired cards$opone pair constraintOmaha, Omaha Hi/Lo:RRON5%$op- a hand in the top 5% with exactly one pair (and no trips)$tptwo pair constraintOmaha, Omaha Hi/Lo:RROO20%tp- a hand in the top 20% with two pair$ntno trips constraintOmaha, Omaha Hi/Lo!RRR50%$nt- a hand in the top 50% with no trips (or quads)$0ga zero-gap rundownOmaha, Omaha Hi/LoAKQJ-$0g:10%- a zero-gap rundown in the top 10% of hands$1ga one-gap rundownOmaha, Omaha Hi/Lo(AKQT-, AKJT-, AQJT-)$1g:20%- a one-gap rundown in the top 20% of hands$2ga two-gap rundownOmaha, Omaha Hi/Lo(AKQ9-, AKT9-, AJT9-)$2g:ss- a two-gap rundown with two or more spadesWeighted Ranges
Weighted ranges are supported for hold’em, omaha, and omaha hi/lo.
Weighted ranges allow you to specify the relative probabilities of hands appearing in a range. For instance, if we want a range where aces and kings are always played but queens are only played half the time, we could write ’AA-KK@100,QQ@50’.Generic Syntax Odds and Ends
*Case (’A’ vs. ’a’) is ignored. Nevertheless, ranges are easier to read if ranks and rank variables are capitalized while suit variables are in lower case.
*Aces are always high. This means that ’A-5’ is equivalent to ’[A,K,Q,J,T,9,8,7,6,5]’. If you want wheel cards, you can use [A,2,3,4,5] instead.
*Suits and suit variables are attached to the rank on their left. If the symbol immediately to the left is not a rank (A, K, ..), rank variable (R, O,..), or wildcard rank (*), then a wildcard rank is implicit. For example, ’ss’ is equivalent to ’*s*s’, ’KsTsxx’ is equivalent to ’KsTs*x*x’, and ’sJhhd’ is equivalent to ’*sJh*h*d’.
*Suit variables will not bind to any suits listed in a range. For instance, ’ssxx’ means two spades and two cards of some other suit - the ’x’ will not assume the value of spades. Similarly, rank variables will not bind to any ranks listed in a range. For instance, ’AARR’ means aces with another pair - it does not include four aces.
*Parentheses (’(’ and ’)’) have the highest precedence, and can be used for grouping. For instance, ’(AK, JT):xx’ is equivalent to ’AxKx, JxTx’.
*Constraints (’!’ and ’:’) have the next highest precedence after parentheses, and are left-associative. For instance, ’AK,*:xx!RR’ is equivalent to ’AK, (*:xx)!RR’
*Commas (’,’) have the lowest precedence.Key Differences vs. Classic Syntax
Here are a few quick notes for those of you who have made extensive use of the classic ProPokerTools range of hands syntax:Hold’em Players
*At long last, hold’em range syntax gets as much expressive power as omaha. Hooray!
*’s’ and ’o’ no longer mean suited and off-suit. ’s’ always means spades. If you want a suited hand, you have two options - you can use suit variables (’AxKx’ for ace-king suited), or the suited macro (’AK$s’). For offsuit, use ’AxKy’ or ’AK$o’.Omaha Players
*If less than four cards are specified, wildcards (’*’) are added for you. Where you used to write ’AA**’, you can now write ’AA’. Where a random hand was ’****’, ’*’ will now suffice.
*’&’ (the ’and’ combinator) has been replaced with ’:’. This is partly to avoid confusion with the old syntax, and partly because the colon just feels better.
*Operator precedence has been fixed to match users’ expectations. In the old syntax, errors seemed almost more common than correct usage when combining ’&’, ’,’ and ’!’. Constraints (’!’ (’NOT’) and ’:’ (’AND’)) now have high precedence and are left associative. This means that ’AK:15%, JT:30%, KQ!Ks’ means what it looks like - namely, ’ace-king in the top 15% or jack-ten in the top 30% or king-queen without the king of spades’. The most common case where you need parentheses in the generic syntax is when you apply a constraint to a number of subranges, such as ’(AA, AK):xxyy’ for ’aces or ace-king double suited’.Stud Players
*Stud now has the same expressiveness as other games.
*There is no longer a limitation that upcards be specific cards (although there is a maximum number of hands allowed in any range).Extensive ExamplesHold’em Examples
*AsKh- Ace of spades and king of hearts
*AA- A pair of aces
*AA,KK,AK- A pair of aces, a pair of kings, or ace-king
*AxJx- Ace-jack suited
*AJ$s- Another way to write ace-jack suited
*AxTy- Ace-ten off-suit
*AT$o- Another way to write ace-ten off-suit
*K*h- A hand with any king and another card that is a heart
**- A random hand
*15%- A hand in the top 15% of hands
*30%-50%- A hand between the top 30 and top 50 percent of hands.
*K- A hand with a king in it
*ss- A hand with two spades in it
*JR- A hand with a jack and some other rank
*hx- A hand with one heart and one other suit
*TT-77- A medium pair
*Q+- A hand with a queen, king, or ace in it
*[T+][T+]- A hand with two broadway cards in it
*A-Q- A hand with an ace, a king, or a queen
*[A-J][2-5]- A hand with an A, K, Q, or J and a 2, 3, 4, or 5
*K[2s,Jc,T]- A hand with a king and a 2 of spades, jack of clubs, or ten
*J[T-]- A jack-high hand
*A!AK- A hand with an ace but not ace king
*25%:xx- A hand in the top 25% of hands that is suited
*A:15%!AA- A hand with an ace in the top 15% of hands but not a pair of aces.
*40%!AA-22- A hand in the top 40% of hands that is not a pair
*(A, ss):15%- An ace or a hand with two spades in the top 15% of handsOmaha ExamplesHoldem Equity Calculator Range Formula
*AsKhJd2c- Ace of spades, king of hearts, jack of diamonds, and two of clubs
*AA- A hand with at least two aces
*AA,KK- A hand with at least two aces or two kings
*AxAyxy- Double-suited aces
*AA$ds- Another way to write double-suited aces
*AxAyxz- Single-suited aces
*AA$ss- Another way to write single-suited aces
*KJ*ss- Any king, any jack, and two other cards that are spades
**- A random hand
*15%- A hand in the top 15% of hands
*30%-50%- A hand between the top 30 and top 50 percent of hands.
*K- A hand with a king in it
*ss- A hand with two spades in it
*JRON- A hand with a jack and three other ranks
*RROO- A hand with two pairs in it
*hhxx- A hand with two hearts and two of some other suit
*TT-77- A hand with at least two tens, nines, eights, or sevens in it
*Q+- A hand with at least one queen, king, or ace
*9876-- A medium to small rundown
*A-Q- A hand with an ace, a king, or a queen
*[A-J][2-5]33- A hand with an A, K, Q, or J and a 2, 3, 4, or 5 and two threes
*K[2s,Jc,T]- A hand with a king and a 2 of spades, jack of clubs, or ten
*J[T-][T-][T-]- A jack-high hand
**$np- A hand with no paired cards
**$nt- A hand with no trips
*AA!AAA- A hand with exactly two aces
*AA$nt- Another way to write a hand with exactly two aces
*AARR- A hand with two aces and another pair (but not four aces)
*{$L$L$L$L}- Four non-paired cards that can make a lo
*A!K- A hand with an ace but no king
*25%:wxyz- A hand in the top 25% of hands that is monotone
*A:15%!AA- A hand with an ace in the top 15% of hands but not a pair of aces.
*40%!RR- A hand in the top 40% of hands with no paired cards
*([T+][T+][T+], ss):15%- At least three big cards or a hand with two spades in the top 15% of hands
*(Ax[2x-5x], 2x3x-2x5x, 3x4x-3x5x, 4x5x):30%-50%- A hand with at least two suited wheel cards in the top 30 to 50 percent of handsStud Examples
*AsKh2c8h9d- Ace of spades and king of hearts in the hole, followed by the two of clubs, eight of hearts, and nine of diamonds.
*AAK- Aces in the hole and a king up.
*AA-JJ, dd | 8d- A big pair or two diamonds in the hole and the eight of diamonds up
*xxxx- A four-flush
*x x Rx x R- Flush draw that paired the door-card on fifth street.
*{$L$L 8s6c}- A low draw on fourth street with the eight of spades and six of clubs showingBoard Examples
*AsKdJh- A flop with the ace of spades, the king of diamonds, and the jack of hearts
*A**!AA*- A flop with exactly one ace
****![T+]**- A flop with no card ten or higher
*RON- A flop with no pairs
*RRO- A flop with one pair
*234+- A straight-friendly flop
*RONR- A board with no pairs on the flop that paired on the turn
*xyz- A rainbow flop
*xxx- A monotone flopContact us·Privacy Policy·BlogCopyright © 2005-2017 ProPokerTools. All rights reserved.What is Equity?
Equity is best defined as the the share of the pot that you can expect to win in the long run, based on the strength of your hand versus that of your opponent, with cards still to come. If you get all in pre-flop with AA and your opponent holds KK and there’s $400 in the middle, a tool like Pokerstove will tell you that you’re an 82% shot to win the hand when the flop, turn and river are dealt. What that means is that you can expect to take $328 of the $400 in the long run, and so your equity in the pot is $328.
However, the community cards can quickly change your equity in a hand. If a K comes down on the flop, your equity quickly drops to less than 10%. When you get to the river, your equity is always 100% when you’re ahead, 0% when you’re behind and 50% if you have the same holding as your opponent.Why Calculate Equity?
Calculating your equity in a hand is a key skill in poker. Its imperative that you know your chance of winning the hand at showdown as the action progresses and to be able to compare this to both the pot odds and implied odds on offer, so you can make good, positive expected value decisions on every street in the hand. Bad or inexperienced players will often make decisions based on ‘feel’, or what hand they think their opponent mig
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