Shorthand Poker Hands

2021年11月15日
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*Shorthand Poker Hands Meaning
*Shorthand Poker Hands Games
Poker hands from highest to lowest 1. Royal flush A, K, Q, J, 10, all the same suit. Straight flush Five cards in a sequence, all in the same suit. ATC: Any two cards, BB: Big blind or Big bet (the meaning is context dependent and can be quite similar; 5xBB refers to the blind, but 5BB refers to big bets), B&M: Brick-and-mortar casino poker, as opposed to online or home game poker., CO: Cutoff. In hold ’em, the player directly to the right of the button., EP: Early position, EV: Expected value, FE: Fold equity, FPS: Fancy play syndrome. Poker Starting Hand Chart (6-max Cash, 100bb): Hand Chart Notation Getting to know which hands to play and in which positions is even more important than the actual hand. This 6-max Cash Hand Chart details the hands you should play and the position. These are passive players and going up against them can be beneficial in a short-hand limit game as your chances of winning are high. Starting hands at the pre-flop. When you play a game of short handed poker, there are a few hands that can be more advantageous than others. Some of the hands that you can raise are pocket pairs, JT, QJ, AT+, KJ.
This post works with 5-card Poker hands drawn from a standard deck of 52 cards. The discussion is mostly mathematical, using the Poker hands to illustrate counting techniques and calculation of probabilities
Working with poker hands is an excellent way to illustrate the counting techniques covered previously in this blog – multiplication principle, permutation and combination (also covered here). There are 2,598,960 many possible 5-card Poker hands. Thus the probability of obtaining any one specific hand is 1 in 2,598,960 (roughly 1 in 2.6 million). The probability of obtaining a given type of hands (e.g. three of a kind) is the number of possible hands for that type over 2,598,960. Thus this is primarily a counting exercise.
___________________________________________________________________________Preliminary Calculation
Usually the order in which the cards are dealt is not important (except in the case of stud poker). Thus the following three examples point to the same poker hand. The only difference is the order in which the cards are dealt.These are the same hand. Order is not important.
The number of possible 5-card poker hands would then be the same as the number of 5-element subsets of 52 objects. The following is the total number of 5-card poker hands drawn from a standard deck of 52 cards.
The notation is called the binomial coefficient and is pronounced “n choose r”, which is identical to the number of -element subsets of a set with objects. Other notations for are , and . Many calculators have a function for . Of course the calculation can also be done by definition by first calculating factorials.
Thus the probability of obtaining a specific hand (say, 2, 6, 10, K, A, all diamond) would be 1 in 2,598,960. If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of all diamond cards? It is
This is definitely a very rare event (less than 0.05% chance of happening). The numerator 1,287 is the number of hands consisting of all diamond cards, which is obtained by the following calculation.
The reasoning for the above calculation is that to draw a 5-card hand consisting of all diamond, we are drawing 5 cards from the 13 diamond cards and drawing zero cards from the other 39 cards. Since (there is only one way to draw nothing), is the number of hands with all diamonds.
If 5 cards are randomly drawn, what is the probability of getting a 5-card hand consisting of cards in one suit? The probability of getting all 5 cards in another suit (say heart) would also be 1287/2598960. So we have the following derivation.
Thus getting a hand with all cards in one suit is 4 times more likely than getting one with all diamond, but is still a rare event (with about a 0.2% chance of happening). Some of the higher ranked poker hands are in one suit but with additional strict requirements. They will be further discussed below.
Another example. What is the probability of obtaining a hand that has 3 diamonds and 2 hearts? The answer is 22308/2598960 = 0.008583433. The number of “3 diamond, 2 heart” hands is calculated as follows:
One theme that emerges is that the multiplication principle is behind the numerator of a poker hand probability. For example, we can think of the process to get a 5-card hand with 3 diamonds and 2 hearts in three steps. The first is to draw 3 cards from the 13 diamond cards, the second is to draw 2 cards from the 13 heart cards, and the third is to draw zero from the remaining 26 cards. The third step can be omitted since the number of ways of choosing zero is 1. In any case, the number of possible ways to carry out that 2-step (or 3-step) process is to multiply all the possibilities together.
___________________________________________________________________________The Poker Hands
Here’s a ranking chart of the Poker hands.
The chart lists the rankings with an example for each ranking. The examples are a good reminder of the definitions. The highest ranking of them all is the royal flush, which consists of 5 consecutive cards in one suit with the highest card being Ace. There is only one such hand in each suit. Thus the chance for getting a royal flush is 4 in 2,598,960.
Royal flush is a specific example of a straight flush, which consists of 5 consecutive cards in one suit. There are 10 such hands in one suit. So there are 40 hands for straight flush in total. A flush is a hand with 5 cards in the same suit but not in consecutive order (or not in sequence). Thus the requirement for flush is considerably more relaxed than a straight flush. A straight is like a straight flush in that the 5 cards are in sequence but the 5 cards in a straight are not of the same suit. For a more in depth discussion on Poker hands, see the Wikipedia entry on Poker hands.
The counting for some of these hands is done in the next section. The definition of the hands can be inferred from the above chart. For the sake of completeness, the following table lists out the definition.

Definitions of Poker HandsPoker HandDefinition1Royal FlushA, K, Q, J, 10, all in the same suit2Straight FlushFive consecutive cards,all in the same suit3Four of a KindFour cards of the same rank,one card of another rank4Full HouseThree of a kind with a pair5FlushFive cards of the same suit,not in consecutive order6StraightFive consecutive cards,not of the same suit7Three of a KindThree cards of the same rank,2 cards of two other ranks8Two PairTwo cards of the same rank,two cards of another rank,one card of a third rank9One PairThree cards of the same rank,3 cards of three other ranks10High CardIf no one has any of the above hands,the player with the highest card wins
___________________________________________________________________________Counting Poker Hands
Straight Flush
Counting from A-K-Q-J-10, K-Q-J-10-9, Q-J-10-9-8, …, 6-5-4-3-2 to 5-4-3-2-A, there are 10 hands that are in sequence in a given suit. So there are 40 straight flush hands all together.
Four of a Kind
There is only one way to have a four of a kind for a given rank. The fifth card can be any one of the remaining 48 cards. Thus there are 48 possibilities of a four of a kind in one rank. Thus there are 13 x 48 = 624 many four of a kind in total.
Full House
Let’s fix two ranks, say 2 and 8. How many ways can we have three of 2 and two of 8? We are choosing 3 cards out of the four 2’s and choosing 2 cards out of the four 8’s. That would be = 4 x 6 = 24. But the two ranks can be other ranks too. How many ways can we pick two ranks out of 13? That would be 13 x 12 = 156. So the total number of possibilities for Full House is
Note that the multiplication principle is at work here. When we pick two ranks, the number of ways is 13 x 12 = 156. Why did we not use = 78?
Flush
There are = 1,287 possible hands with all cards in the same suit. Recall that there are only 10 straight flush on a given suit. Thus of all the 5-card hands with all cards in a given suit, there are 1,287-10 = 1,277 hands that are not straight flush. Thus the total number of flush hands is 4 x 1277 = 5,108.
Straight
There are 10 five-consecutive sequences in 13 cards (as shown in the explanation for straight flush in this section). In each such sequence, there are 4 choices for each card (one for each suit). Thus the number of 5-card hands with 5 cards in sequence is . Then we need to subtract the number of straight flushes (40) from this number. Thus the number of straight is 10240 – 10 = 10,200.
Three of a Kind
There are 13 ranks (from A, K, …, to 2). We choose one of them to have 3 cards in that rank and two other ranks to have one card in each of those ranks. The following derivation reflects all the choosing in this process.
Two Pair and One Pair
These two are left as exercises.
High Card
The count is the complement that makes up 2,598,960.
The following table gives the counts of all the poker hands. The probability is the fraction of the 2,598,960 hands that meet the requirement of the type of hands in question. Note that royal flush is not listed. This is because it is included in the count for straight flush. Royal flush is omitted so that he counts add up to 2,598,960.

Probabilities of Poker HandsPoker HandCountProbability2Straight Flush400.00001543Four of a Kind6240.00024014Full House3,7440.00144065Flush5,1080.00196546Straight10,2000.00392467Three of a Kind54,9120.02112858Two Pair123,5520.04753909One Pair1,098,2400.422569010High Card1,302,5400.5011774Total2,598,9601.0000000
___________________________________________________________________________
2017 – Dan Ma
This poker lesson is not going to suggest you take a notepad to your local card room and jot down all of the action you witness. Taking a spiral notebook to the brick and mortar felts isn’t very practical and you’ll probably get laughed out of card room. However, the online version of our fair game is ideal for taking notes on players and the tendencies they exhibit at the table.
The ability to create notes on the players you encounter is an inbuilt feature on practically every online poker site, yet one could wager that the vast majority of online poker players today do not take advantage of it. Most poker players either rely on a good memory or don’t even change their play based on their opponents. In poker, one of the largest sources of our profits comes from taking advantage of other’s mistakes. By taking good notes you’ll be able to track opponents who have made mistakes in the past and you might even be fortunate enough to see when your opponents make those same mistakes again.
Tracking how your opponents play in certain situations is undeniably profitable in the long run. There are also additional benefits of getting into the habit of taking notes. Preventing boredom is a key reason. Proper note taking will keep you focused on the flow of the game. You may even feel more confident since the added information you gain on your opponents will result in better decisions. The activity of note taking may also reduce the chances of you going on tilt, since you’ll be more concerned with the quality of your decisions.Proper Note Taking
Now that you know that taking notes is important, how should you go about it? Here are some of the things that you should try to keep in mind when taking notes.Blind level, Stack Size and Position
Taking notes about the blinds levels is obviously not applicable to cash games, but it’s very important in tournament play. A player can change his play depending on how early the game is (blind level), how many chips he has (stack size) and what seat he is in (position). An example of a note might look like this; “25/50 (1500) CO” or “UTG 30BB 50-100”, whatever order or syntax works best for you.Devil in the Details
Avoid being general with your note taking. Writing “raised with queens” isn’t very helpful. Along with the information suggested above, you should also record the sizes of a player’s bet. You will often find a pattern that can reveal the strength of your opponent’s hand just by the way he sizes his bets with certain hands and situations. A note might look like “75/150 (3200) UTG 3x = QQ”, which would mean that this player raised three times the big blind sitting under-the-gun with pocket queens. If later you get a note like “75/150 (3300) UTG 2x = KTs”, meaning he raised only two times the big blind with king-ten suited in a similar situation, you might be able to take advantage of this information at a later time with an appropriate move.Color Codes and Icons
Many online sites have some sort of color or icon system that can allow you to easily mark a player. Take advantage of this feature if it’s available because it will give you a quick indication of how someone plays based or prior observations. When using colors it can be helpful to go with the “stoplight” system, using green on weak players, yellow on more accomplished ones and red to mark the serious grinders and solid poker players. You can use other colors or icons to notate other types of players as you see fit – whatever works best for you.Condense Your Notes
If you play a lot, eventually you’ll have a sea of notes to go through on many of the regulars you encounter. After a while you can slim down your information. If you have plenty of notes on how a player sizes his bets, just make a short note to that fact. A simple note like “Pre-flop: 3x is strong, 2x is weak” can eliminate a bunch of clutter in your note box for that player.Keep up with the Game
Never miss what is actually going on in the game, especially when it is your turn. If you spot something noteworthy but are facing a situation that requires your full attention, play the hand. The note taking can wait. Make use of the hand history feature provided by the poker room and go back and review any past hands that you might have missed. Using shorthand while taking notes can be very helpful and later in this lesson will provide some examples you can use.Just the Facts, Ma’am
Just jotting down “FISH” or “%@&*!^# suck out artist that can’t fold!” isn’t going to help you very much when you see that player again. As much as that bad beat might have hurt be sure to get any information you can out of the hand and move on. That one note might help you avoid a similar fate in the future.Post-flop and Showdowns
Note taking is for any situation. Pay close attention to how someone plays their draws, their nut hands and their top pairs. Did they trap? Did they check-raise? Did they make a value bet that was smaller than usual? Also be sure to watch out for any hands that have a showdown, even if you were not involved in the hand. Showdowns provide vital information and you’ll often be able to pick up a clue or two on how your opponents play. Take advantage!Shorthand / Abbreviations for Note Taking
When taking notes it’s best to try and use simple abbreviations. A quick two- or three-letter acronym is quick and easy to translate. Let’s start by looking at abbreviations for position:Positional Notes
*BB = Big Blind
*SB = Small Blind
*B or BU = Button
*CO or B-1 or 1o = The cutoff or one seat off the button
*HJ or B-2 or 2o = Hijack or two seats off the button
*B-3 or 3o, etc = Notes how far off the button
*UTG = Under the gun, or first to act pre-flop.
Note: If the table isn’t full then be careful when using UTG. While it is important to know when the player was first to act, noting his relative position in regards to a short-handed table is key as well, especially for SNG players. You might use “UTG 3o” or “UTG 6H” to tell you that this was at a six-handed table.Pre-flop Notes
Please be aware that many of the pre-flop abbreviations that follow are tailored to SNG and tournaments rather than cash games.
*#x = The size of the raise in relation to the big blind. “3x” would be three-times the big blind.
*HBL = High Blind Limp, which is used by Colin Moshman in his SNG books. This is when a player limps when they have less than 25 big blinds in their stack.
*LBL = Low Blind Limp. When a player limps in when they have more than 25 big blinds in their stack.
*OL = Over Limp. This player limped behind others. This can also be written as HBOL (High Blind Over Limp) or LBOL (Low Blind Over Limp) as well.
*HBMR = High Blind Min-Raise. Like HBL, but the player elected to use a min-raise instead. This can be used as a substitute for 2x since it may stand out more in your notes.
*LBMR = Low Blind Min-Raise. Like LBL, but the player elected to use a min-raise instead.
*FE = Fold Equity. This can be used for tournament notes to indicate a situation where you determine that fold equity was a contributing factor.
*AI = All In. Use this anytime a player bets all of his remaining chips. You could also use a short term like “push” or “shove”.
*AIPF = All-in Pre-flop. This is the same as AI except the action was taken pre-flop.
*PM = Pot Mash. This is when a player bets the pot, usually hitting a button in the software instead of typing out a numbered bet. This can be a bet-sizing tell for some situations.
*FSS or CSS = Flat (Call) Shorty Shove. When a short stack goes all-in and a player called rather than raised over him.
*SSS = Shoved over Shorty Shove. A player elected to go all-in as opposed to just calling a short stack’s all in move.
*RSS = Raised over Shorty Shove. Like SSS except the player made a raise that was less than all-in.
*MRSS = Min-Raised over Shorty Shove. This is the same as RSS but the player specifically made a min-raise over the short all-in.
*r### = raised to an exact number of chips, “r333” would mean this player made a raise of 333 chips.Post-Flop Notes
Here are some abbreviations that you can use in your notes for many post-flop situations, in both cash games and tournament play.
*b### = Bet an exact number of chips.
*CB = Continuation Bet. This can be followed by a number or a fraction of the pot.
*BRR = Bets aRe Real. This means that when he bets he has a hand and is not bluffing.
*RRR = Raises aRe Real. This means the player always raises with his good hands, not as a bluff or semi-bluff.
*POB = Post Oak Bluff. This term was originally used by Doyle Bronson. It is often referred to as a “donk bet”, and “probe bet” is also used. This is used to note a weak lead or min-bet from out of position into a pre-flop raiser. It can be a bet-sizing tell that usually means the player is weak or trying to see a draw cheaply.
*TES = Top End Shover. This player only goes all-in when he has the goods.
*TEC = Top End Caller. This is a player with a tight calling range.
*CFC = Can’t Fold a Chair. This is a calling station or someone who just doesn’t fold in situations that most players should.
*BAM = Bad At Math. This is used when a player is seen folding despite getting very favorable odds to cal

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