Classement Mains Poker Holdem

Posted : admin On 4/12/2022

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Martin Harris

For a certain segment of new hold’em players, starting hand charts can be fascinating. Even those with many years of experience who have little need to consult such charts still find them interesting as debate-starters.

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In hold’em there are 169 different combinations of hands you can be dealt. For those of us who enjoy working with numbers or creating lists with which to organize our lives, there’s something appealing about the idea of ranking all of those hands from 1 to 169, even if we know such a list probably might have only limited value when it comes to actual game play.

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In truth, there are actually a lot more possible combinations of hole cards in hold’em — 1,326 of them, in fact. But that total also considers suits as distinct, when in fact before the community cards come the suits are all essentially of equal value.

That is to say, is of the same value as when playing preflop, while and are also of equivalent value. So, too, are the different combinations producing the same pocket pairs all equal before the flop in terms of their relative worth. While there are six different ways to get pocket aces — , , , , , — you're equally happy no matter what suits the cards are.

So we get rid of all of those redundant hands and say that in Texas hold'em there are 169 “non-equivalent” starting hands, breaking them down as follows:

13 pocket pairs
78 non-paired suited hands (e.g., with two cards of the same suit like or )
78 non-paired unsuited hands (e.g., with two cards of different suits like or )

Notice now the non-paired combinations of hole cards neatly divide into equal groups, both of which are six times as large (78) as the smaller group of pocket pairs (13). The total of 169 combinations represents a square, too — 13 x 13 — another curious symmetry when it comes to hold'em hands.

Still, that’s a lot of starting hand combinations — too many for most of us humans to keep in our heads — which is one reason hand ranking charts are appealing and even can be useful, since they help players think about certain two-card combos as “strong” or “average” or “weak” as possible starters.

Setting aside the idea of actually ranking the 169 hands from best to worst, we might think for a moment about other ways of categorizing starting hands in hold’em, using that initial breakdown of hands into pocket pairs, non-paired suited hands, and non-paired unsuited hand as a first step toward coming up with further, smaller groups that are easier to remember.

The 13 pocket pairs we might group as big or “premium” (, , and ), medium ( through ), and small ( through ).

Meanwhile, we might divide each of the other groups into “connectors,” “one-gappers,” and “two-gappers” (and so on), further thinking of them also as “big,” “medium,” and “small” while also keeping separate suited and non-suited combinations.

These categories of non-paired hands are created by thinking about straight-making possibilities (affected by connectedness) and flush-making possibilties (affected by suitedness). There are more ways to make straights with “connectors” — that is, two cards of consecutive rank like — than with two-gappers, three-gappers, and so on. So, too, do you have a better chance of making a flush with suited hole cards than with non-suited hole cards.

Another possible group to create would include “ace hands” — i.e., non-paired hands containing one ace — that can be thought of as “big aces” (e.g., , ), “medium aces” ( down to ), and “small aces” ( to ). Or “king hands,” too. We like keeping these groups in mind, as hands with big cards like an ace or king can connect with flops to make big pairs.

In any case, you can see how these criteria for making categories can help when it comes to building those starting hand charts. And in fact most of those charts feature a similar ordering of hands, with...

the premium pocket pairs and the big aces (suited and non-suited) up at the top;
medium and small pocket pairs and big-to-medium suited connectors and one-gappers in the middle;
and non-paired hands with less potential to make big pairs, straights, or flushes toward the bottom.

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However, there are problems with relying so heavily on starting hand charts that you don’t take into account factors that can make a given hand gain or lose value. Such as the flop. Or the turn. Or the river. Or other factors — including how your opponents are playing their hands — that can quickly affect the value of your starting hands.

After all, as anyone who’s played even a few hands of hold’em well knows, even if is the highest-ranking starting hand and a non-suited ranks as 169th, a couple of deuces among the community cards is all it takes to make the best hand worst and the worst hand best.

Learning the relative value of starting hands is definitely an important first step when it comes to getting started in hold’em. Other aspects of game play such as the importance of position, knowing when and how much to bet or raise, and thinking about opponents’ holdings and playing styles as hands proceed are good to learn, too, and help show how a great starting hand might not be so great five community cards later.

Poker is not blackjack, a game in which similar hand-ranking guides are sometimes used to inform players’ decisions about how to play. In poker you want to be wary about becoming too reliant on those pretty starting hand charts. They can be great for indicating which hands might be worth playing (and which should be thrown away), but troublesome if allowed to outweigh all of the other important factors that arise as a hand plays out.

That said, starting hand charts can be useful, especially for those new to hold’em. They also can be a big help when picking up other games, too, like pot-limit Omaha or the various stud games, if only to get an early idea what hands tend to play better than others.

But for many such charts ultimately are only themselves a way to get started, before the experience of playing helps players more instinctively recognize both hand groupings and how hands tend to compare in terms of profitability.

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no-limit hold’emcash game strategytournament strategybeginner strategystarting hand selectionstarting hand chartsmath

Gareth James

Gareth James is a tournament poker player, author, coach, content creator and streamer.

He currently grinds the off-peak Sunday schedule over on Twitch and you can find his regular strategy content, for free, over on Youtube.

I'll start this article off by saying I love Holdem Resources Calculator (HRC). I've used it for many years and regularly recommend it to my students.

However, recently I've seen some content from well-known, respected poker players, authors and streamers who seem to be suggesting that it can give you good opening ranges and responses to those ranges including good, solid BB defence strategies and I'm a bit concerned.

Mainly because I know that HRC cannot do these things as it doesn't factor in equity realisation.

HRC is great and I use it regularly, but definitely not for working out opening ranges or response ranges.

In this article I'm going to just focus on BB defence at 20bb and compare the results of both Holdem Resources Calculator and Simple Preflop Holdem.

READ MORE:7 Tips to Take Your Poker Game From 'Meh' to Amazing

What is Equity Realisation?

First let's talk about equity realisation, what it is and how we know HRC doesn't use it.

Equity realisation is how much of the pot a hand can expect to make (as a percentage) based on raw equity AND many other postflop variables including, but not limited to:

Whether you're in or out of position
The type of hand you have (a suited hand like 76s will realise equity better than K2o for example)
The skill level of your opponent (e.g. will they find enough aggressive moves that will prevent you from seeing turn and river cards?)

The key thing here is the fact that it relies on postflop variables.

Now even if we take out the skill level of your opponent, it will hopefully be clear already that in order for a solver to solve properly, it will need to factor in these postflop variables.

Sadly, HRC does not. It essentially believes that after the final preflop action where neither player is all in (so there is an opportunity for postflop betting to take place) the hand just gets checked to showdown, something which rarely happens or at least is rarely strategically optimal.

Putting Theory into Practice

Let me give you an example. Nine players at the table, everyone has 20bb, the blinds are 0.5bb/1bb with an ante of 0.13bb and it folds around to the BTN who opens for a minraise.

For this example, I've run an advanced hand where I've edited the range for the BTN to see what Holdem Resources Calculator suggests the BB can call and 3-bet jam versus this open.

This is the result:

As you can see it's suggesting playing 100% of hands: calling 81.8% and 3-bet jamming 18.2%. Now you could be the best player in the world postflop, but I still don't think you're going to be able to play 72o well enough where it's actually going to make money as a call.

So what's going on here?

When the BTN opens for a minraise there are 4.67BBs in the middle and it costs the BB just 1BB to call. Thus, they're getting 4.67:1 odds which is about 17.6%.

As you can see, every single hand has enough equity to make the call here, which is why HRC is suggesting playing 100% of hands.

72o, though, does a really poor job at realising equity. In order to profitably call, you would have to realise more than 60% of your equity with 72o, something that just isn't going to happen.

READ MORE:What Is Real-Time Assistance (RTA)? Is it Legal?

Button vs Big Blind

To better illustrate this point, here's a table of selected hands for this spot 20bb BTN vs BB to look at how different hands do at realising equity, sorted by those that realise the best. For a hand to be a profitable call the equity x equity realization has to be higher than 17.6%.

Now all of the hands in this table will make the grade, simply because I only included profitable hands in the BB defence range when running the reports in Piosolver in the first place.

The key thing to focus on here is how some hands do better than others at realising equity. Suited hands will always do better than their offsuit counterparts.

Connected hands will always do better than unconnected hands. K4o, while having a lot more raw equity than 32s, does a lot worse in terms of equity realisation.

Hand	Equity (%)	Equity Realization (%)
A9s	57.27	113.44
KJs	53.98	102.79
QJs	49.68	101.12
J9s	43.21	94.6
76s	39.19	91.13
A8o	53.38	90.87
32s	34.45	90.71
KJo	51.49	87
T2s	35.08	83.08
98o	36.18	80.36
QTo	45.54	79.94
T8o	36.79	74.87
K8o	44.79	67
Q6o	39.26	60.88
J3o	33.55	59.43
K4o	40.19	56.94
Q5o	38.11	56.44

Simple Preflop Holdem

So if HRC doesn't give us a usable solution, how do we solve this problem?

Enter... Simple Preflop Holdem.

Simple Preflop Holdem is a preflop solver that factors in equity realisation by considering some of the postflop variables we discussed earlier - namely postflop betting and position.

I've used exactly the same opening range for the BTN and once again given the BB the options to 3-bet jam, call or fold. Here's the result from Simple Preflop Holdem this time:

Let's take a look at the calling and 3-bet jamming strategies side by side for comparison.

As you can see there are some big differences, mainly with suited hands. Simple Preflop Holdem does a lot more calling with suited broadways and suited Aces, hands that HRC likes to jam, but then just folds hands like 94o, 93o and 73o, which HRC likes as a call.

Again there are some differences here. Simple Preflop Holdem likes to jam the weaker offsuit Ax hands more frequently, but then flats hands like AA, QTs and T7s that HRC likes to jam.

What Simple Preflop Holdem is essentially doing here is telling us that it believes it's a higher EV play to just call Aces than it is to jam and the same goes for other hands like KQs, A5s and T7s.

You can clearly see equity realisation being utilised here to give a better strategy where the EV of both lines are compared and the better one is recommended.

In Conclusion

Classement Des Mains Au Poker Texas Hold'em

HRC is good for many things, especially push/fold in cEV and $EV situations at 8bb and under, but it can't give you solid BB defence strategies that you can use in your own game so please don't use it for that.

When we think about which hands to flat and which hands to 3-bet jam, we should always be thinking about which line will generate the higher EV.

We also need to make sure we're making +EV decisions in the first place and not blindly following the HRC readout and calling with 72o and 94o.