6 Plus Holdem

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ORanges 6+ Calculator is a specially adapted version of the oRanges Calculator for Six plus Hold'em (6+ Hold'em). A new and fast algorithm was created to calculate equity, according to the Original Six-Plus and Triton series hand rankings in the Short-Deck Hold'em (fast switching between the Original and Triton hand rankings is available). Six Plus Hold’em (6+), also called Short Deck Poker, is a community card poker game based on Texas Hold’em. While most of the rules are the same, there are three main differences between the two. In 6+ Hold’em, the cards from deuces through fives are removed to make the total deck just 36 cards instead of the usual 52. 6+ Hold’em is a popular ' short deck ' poker format that plays much like Texas Hold’em, but with a few exciting differences: All cards lower than a six are removed from the deck Everyone posts an ante and only the button posts a blind - known as the 'button blind' A flush beats a full-house and Ace, 6, 7, 8, 9 is classified as a straight.

What’s Six Plus Hold'em all about?

Everyone has been hyped up about this new game that arrived to the Macau tables where Ivey and Dwan play, called Six Plus Hold’em. At the first glance, it looks like a very exciting and attractive game for new players! This just might be the new Chris Moneymaker in terms of attracting the fun players to play online, and the good thing is, if you know how to play Texas Hold’em well, you’ll have an easy transition to this new game mode.
It’s becoming a really popular game, and I predict that it will be added and instated as a permanent game on PokerStars in a few weeks, or even less, and the traffic will be huge. Let's get into it and learn the Six Plus Hold'em rules!
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The Rules of Six Plus Hold'em

So, what are the rules to this weird sounding variation of the Hold’em game? It’s still Hold’em, right? RIGHT. The only difference between 6 Plus and classic is that all the cards from deuce to five are taken out from the deck, leaving 36 cards instead of 52.
The Ace is still low, A6789 making the lowest straight or the wheel as you may know it, and it’s still high making TJQKA.
There are also some differences in hand strength, like 3-of-a-kind now beats a straight and a flush beats a full house (since it’s harder to make one because you only have 9 suited cards out of 36 with which you can make a 5-card flush from).
Although Six Plus Hold'em is for the most part played as the traditional Hold'em in terms of streets, the main difference comes on the river, at least in some variations of the game, when, instead of dealing a community card, every player is dealt one extra card. In the final round of betting, every player still in will have three hole cards and will need to combine two and two only of those with the four community cards to create the best possible five card hand. In other variations, it is played with a traditional river.

Hand Rankings
  • Royal (straight) flush
  • Four of a kind (quads)
  • Flush
  • Full House
  • Three of a kind
  • Straight
  • Two pair
  • A pair
  • High card

Why is it good?

It’s good because having less cards in the deck makes it so that you get better hands more often, and for a recreational player that’s awesome because he’ll be getting a lot more action this way, and even though A6 represents the absolute minimum Ax type of hand, it can still be kind of hard to find a fold for a beginner.
It’s also simpler to play than Omaha, so that’s another reason why it could turn out to be very attractive for recreational players.
For us regs out there, it’s also a very good thing, because it’s more fun and more action-packed than Classic Hold’em; it’s like a breath of fresh air that you take from playing the classic format. Also, playing multiple formats of poker has been proven to yield high skill increases in all your other poker games, so learning how to play Six Plus Hold’em will most definitely make you a better player overall.
It’s also important to play it as much as you can at the onset. I remember playing Razz online and people would HU SnG me for 10$ and after a few hands they’d rage in chat saying something like “Why did I lose, I had 3 kings?”.
At the beginning, a lot of players will be attracted to the novelty factor, and some of them will even play not knowing the full set of poker rules, so that’s where you make the biggest profit. Like Hold’em was so loose in its online beginnings, where people would stack off with top pair no kicker on any flop back in '03, and people who were decent by that time’s standards made thousands, if not millions of dollars. It was the same with Omaha when people first started playing it, so the time to act is right now as you don't want to lose this opportunity.
You have the skills needed, now it’s time to make money!
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Adjustments and Six Plus Hold'em Strategy

The first thing that you have to understand is that there are 36 cards instead of 52, so the chance that you'll make better hands on average is higher. This means that you’ll value TPGK less, but some other players might overvalue them and call you down even though it’s much easier in this game to make two pair+. I remember playing 5-card draw 9-plus when I was a kid and a straight or a full house were very frequent.
Also, there’s a bigger difference between the odds of hitting. Now, one out becomes one card out of 31 which is roughly 3% chance to hit it. So to hit a flush draw on the turn or on the river you have 5 cards (2 in your hand and 2 down, 5 left out of 9), so 5x3x2=30% chance to hit a flush. But remember that this beats a full house, so it’s the virtual nuts.
The good thing is, although the percentage of hitting a flush is a bit smaller than in regular Hold’em, you’re almost never beat when you do make your hand, because you’re not afraid of sets or paired boards anymore.
Probability of flopping a set is increased to about 18%, which makes calling 3bet with pocket pairs a much more profitable proposition
Next up we have the straight draw, and this is going to be interesting. To hit an open-ender by the river you have 8(outs)x3(percent)x2(turn and river)= 48% which is insane. Basically, if you know that your opponent doesn’t have trips or better, you can just keep on raising, because if you have any kind of fold equity, you’re going to profit in the long run; and when you do get called, it’s as close to a flip as it will ever be, provided you’re not drawing dead.
The modification in draw hitting percentage and flush strength make the game more action-packed and people will get it in a lot more often on flops, making it a very exciting variation to play.
Two pair is also easier to hit because we have 5 outs from 31 cards so it’s going to be 5x2x3%=30% to hit two pair until the river, which renders overpairs a bit less powerful.

6 Plus Hold'em Rules


Another thing that we need to talk about and everyone absolutely loves is the probability of flopping a set. Here, it’s about 2x3x3%=18% so calling 3bets with pocket pairs becomes more profitable proposition.
AT and AJ lose a lot of their power, but AK becomes much stronger. I’d never 3bet AQ though, because we’re never, ever getting called by a worse ace if we are up against a decent player.

More strategy and math considerations

Now that we know the basic rules of Six Plus Hold’em and that money will fly around way more often, I expect that all poker sites will integrate it pretty fast after it appears on the main one, and that it will be fairly easy to exploit opponents, especially at the beginning, if you integrate the knowledge from this article into your game.

Let’s start off by talking about all of the aspects of pre-flop game.
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Stacking off

Obviously, stacking off now becomes a little bit tighter because we have less cards in the deck, ergo we will get AA or KK a lot more often.
If the chance to get AA pre-flop in regular Hold'em is 0.45 percent, let’s try to calculate that in Six Plus Hold’em:
  • The chance to get dealt one ace in one card is: 4 / 36 = 1 / 9 (one out of nine possible cards).
  • Now, the chance to get dealt the second ace is: 3 / 35 = 8.5%
  • To get the probability of catching aces, you have to multiply the two probabilities and get the percentage, so the probability that we get Aces is: (1/9)*(3/35)=3/9*35=3/315=1/105
Once every 105 hands you’ll get AA in Six Plus Hold’em, which is 0.95%, which, to tell you the truth, is insane! It’s more than the double of regular Hold’em, and that goes for KK QQ JJ TT and any pair!
Also, let’s see what the probability of getting AK is now:
  • Probability to hit an Ace: 4/36
  • Probability to hit a King after you’ve hit the Ace: 4/35
  • If we multiply these probabilities we will get the odds to get AK pre-flop, so the result is:
  • 4/36 * 4/35 * 2(because the order doesn’t matter) = 4*4/35*36 = 16/1260 *2 = 2.53%
So this means that the range of QQ+/AK now is 0.95+0.95+0.95+2.53= 5.38%. In Hold’em it’s 2.6%. This is going to invite more action into the game and make it a lot more 3bet oriented, because in Six Plus, 2.6% is very close to AA/KK/AKs.
  • 2/36*1/35=0.158%
To verify our calculations, we re-calculate pair and AK probabilities like this:
  • AK – 16 combos – 0.158%*16 = 2.53%
  • AA – 6 combos – 0.158%*6 = 0.95%
  • AKs - 4 combos – 0.158%*4 = 0.63%
So we now have the solution to the combinations problem.

3-betting and stack-off ranges

The pressing matter here is that now, QQ+/AK is 5.38%, which is a huge 3-bet value range and is advisable in 6-max but in FR it’s a lot looser than it may seem. Also, a lot of players in the beginning will still stack off QQ/AK from virtually any position in 6-max games, so you’ll benefit from that by playing QQ a lot more like JJ/TT/99 and only 3bet AA/KK/AK.
Why do we still 3-bet AK? Isn’t this a good hand to flat now ? Yes and no.
  • Let’s say you have AK
  • This means that from all of his combos of AA, 3 are taken out of the 6 because you hold the Ac.
  • Also, from his combinations of KK, 3 are taken out of the 6 because you hold the Kd.
  • Also, from his 16 combinations of AK, he is left with 9 out of 16 because you hold Ac and Kd.
  • This means that he’s 50% less likely to have AA, 50% less likely to have KK, and 43% less likely to be holding AK, so he’ll fold a lot more often pre-flop
Fold Equity
  • Let’s say the UTG opens for 3x and you 3-bet from the button 9x.
  • If UTG opens 10% of his range and continues only with KK+/AK, even if you fold every time to a 4-bet, you’re making a profit in the long run.
  • How? Well, 4.5% of that opening range is AA/KK/AK, but you’re holding blockers so it’s reduced to about 2.5%. That means 3 out of 4 times you win 4.5 blinds(bb/sb/open) and 1 time you lose 9 blinds. That’s good profit in the long run and cannot be overlooked.
  • If his opening range is bigger than 10%, you’re winning a lot more in the long run.
  • Keeping his weaker hands in.
If your opponent opens UTG and you only flat AK, he will not have the option of folding AQ, possibly AJ/KQ to a 3-bet and you can get value from him post-flop, when an ace or a king hits.
  • The element of surprise
6 plus holdem calculator
Most players will discount AK out of your range when you’re not 3-betting it, and thus make mistakes post-flop. A lot of them might bet AQ for two streets on an ace-high board and check/call the river, and the same goes for KQ on a king-high board. That’s when you get 3 streets of value with your AK against hands that would have folded pre-flop to a 3-bet.
  • Not having a standard play, varying your game
Sometimes if you combine 3-betting AK for 50% and flatting it 50% you become much harder to read, thus your opponent will never know this frequency and it will be hard for him to adapt to your play style.
Most players will discount AK out of your range when you’re not 3-betting it, and thus make mistakes post-flop.
I’d actually be more inclined to 3-bet AKo and flat AKs (leaving my AK flatting range 25%), just because AKs has better playability post-flop from flopping a flush draw. The equity of getting it in pre-flop with AKs is not much higher than that of AKo so I consider flatting a lot more often with this type of hand.
Also, when using your HUD, watch out for the people who have a 2% 3-bet range, because they’re only 3-betting AA/KK, so it becomes super-profitable to call for set-mining purposes (because now you flop a set 18% of the time), and stacking off with only AA versus these players becomes the ultimate exploitive strategy. I’m even folding AK pre-flop because if we call the 3-bet and we hit a king, he’s most likely holding aces, and if we hit an ace, he’s most likely not paying us off with KK.

Conclusion

All in all this will be a very interesting, action-filled game and I can’t wait for it to become an official format adopted by the major sites, because I really believe this is the new Hold’em and it will be a worthy breath of fresh air for all of us that have been playing the same game for years and years. I hope you found these Six Plus Hold'em rules easy to follow and useful as an introduction to the game.
To wrap it up, I leave you with the words of wisdom from a great man:
We keep moving forward, opening new doors, and doing new things, because we're curious and curiosity keeps leading us down new paths. Walt Disney
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6 Plus Holdem


In the first part of the article we looked at Six plus Hand Rankings, where it became clear that the 16 cards missing from the deck in this variant leads to a slight, but important, changes in how strong the starting hands are which we will receive.

Let’s take a look at this in some more details, and work out how this affects the strategy of our game.
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Pocket Aces

If we look at traditional Texas Hold’em starting hands, we would expect to get our beloved AA about once every 221 hands, so what about in our new version of the game?

Well, without troubling you with the maths (I CAN do it, honestly!) the answer is you’ll get your pocket rockets once every 105 hands, which is more than twice as often as in Texas Hold’em!

Naturally, what goes for aces also goes for the other pairs – you’ll have a pocket pair more than twice as regularly in Six plus Hold’em (as will your opponent! Don’t forget this important consideration).

Are there any other changes we need to know about regarding starting hands?

Well, let’s take a look at a few examples and see how they compare to normal Texas Hold’em…


Let's Say We have JJ

A naturally tricky starting hand in Texas Hold’em, but one we would probably open-raise with pre-flop. How does it fare in Six Plus?

We need to realize that instead of beating nine other pairs pre-flop, now it is only a favorite against 5, and still a dog to QQ, KK and AA. So it is not as strong in this respect.

However, because 3 of a kind now beats a straight in Six Plus, flopping a set becomes very strong against many hands – flushesare harder to come by, as we saw previously, because there are only nine cards of any single suit available in the deck.

So, how often will our smaller pairs flop a set? In Texas Hold’em it’s about 11.8% or roughly one time in eight. In Six Plus, we will do the maths quickly (just to prove I can!)

There are 36 cards in the pack, we have – let’s say again – JJ in our hand. So there are two jacks left in the 34 remaining cards.

The flop probabilities work out at 2/34 + 2/33 + 2/32 = 0.18, so basically one time in five when we have a pocket pair we will improve to a set on the flop. Not too shabby!


What About the Hated 72 Offsuit?

In traditional Texas Hold’em this is the worst starting hand, and almost completely unplayable. Well, as you can probably work out yourself quite easily, in Six Plus the equivalent hand is J 6 offsuit, which, let’s be honest, would rarely be played even in our normal game!

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Playing AK Becomes an 'Interesting' Problem

We know how difficult it can be to play this hand in Texas Hold’em, both pre-flop and post-flop, so how about in Six Plus?

Well, first off, we will be dealt AK about 2.5% of our hands – which is quite a lot of the time, maybe once every five or six rounds at a full ring table, so it’s important enough to learn its worth in Six Plus Hold’em.

If we accept that suited versions become a lot more valuable - flushes beat full houses in our new version - then it can also make sense to play AKs slower than usual. Mixing our game up with AKs hides our play better, while AKo is still a very strong hand which we can 3-bet and even consider stacking off with.


Small Pairs

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Of course 66 now becomes the smallest pocket pair. In Texas Hold’em we could consider calling pre-flop raises with this hand if the price was right – flopping a set and cracking a higher pair is our main goal – but now we have to consider that we are essentially playing 22 in a game where set-over-set sees our 6’s screwed, although on the plus side they do now beat straights!

Relative Hand Values

We need to be aware that these change a fair bit from Texas Hold’em, since stronger hands in general are being played across the board. Top pair, top kicker is nowhere near as strong – in fact it is very unlikely to win on its own as a best hand at showdown in 6-max or full-ring when we play Six Plus Hold’em.

There is also the ‘alternative river version’ of the game to consider, when receiving an extra hole card means that hand strengths can become stronger still.

So, in general two pair would be a median winning hand at full-ring – a useful thing to know when planning your hand strategy!


We will look at the change in Pot Odds in part 3, but a casual glance at things like ‘drawing hands’ shows that we are more likely to his many of them, as we have fewer cards left containing the same number of outs. For example, a gutshot – where any of four cards hits for us – now gives us 4/31 chances to hit after the flop, as opposed to 4/47 in Texas Hold’em – a significant difference indeed!

6 Plus Holdem Poker

So, we’ve now seen the basics of the game – Hand Rankings, how starting hands differ – and next up are the ‘Pot Odds’ calculations, which will affect our strategy considerably…
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