$36 Sisters
November 6, 2006 at 6:24 pm | In Holdem Limit | 1 CommentThis article by Richard Burke describes how your betting should change when playing a pair of queens in a limit holdem game as opposed to playing queens in a no limit game.
by Richard Burke
First published in Poker Player Newspaper
My local poker room was jammed on a Friday afternoon in summer. Under the gun at a full $4-8 Hold’Em table, Fred peeked and saw [Qh]-[Qc]. He raised, making it $8 to go. Five players folded; the Cutoff and the Button called; the Small Blind folded; the Big Blind called.
The dealer flopped [Kh]-[7c]-[2s]. Fred led the betting with $4, figuring that if anyone had a Set, Two Pairs, or Kings, then she would raise and he would fold. None raised; two called; the Big Blind folded.
The dealer burned and turned the a5. Although it was possible that someone had an inside Straight draw or a Flush draw, Fred thought those unlikely. Maybe his hand was best. He again led the betting. Both called the $8 bet.
The dealer burned and turned the for this tableau, [Kh]-[7c]-[2s]-[5h]-[Jc]. Fred observed that a Straight and a Flush weren’t possible. No one else had raised pre- Flop, so he discounted pocket Aces or Kings, and Big Slick, leaving a Set, Two Pairs, or Kings as dangers. Fred led the betting with $8; the Cutoff folded; the Button raised. Fred paid him off. The Button showed down dK-dJ, and Fred mucked his $36 Queens. “What had he done wrong?” he asked.
We retired to a quiet area where Fred bought adult beverages. Your early position, pre-Flop raise was good, I told him, because you likely narrowed the field. Instead of the usual five or more hopeful players paying to see the Flop, you had only three opponents.
When you hold the ‘Sorry Sisters,’ I told Fred, you want neither an Ace nor a King on the Flop, a 59% chance, as given by C(42,3)/C(50,3). You were a bit unlucky that an overcard flopped.
Still, a King on the Flop was better than an Ace, I told him. At low-limit Hold’Em most everyone plays Ace-Any starts; fewer play King-Any starts. However, they will call two bets cold with starting hands like [Kd]-[2d], [Kh]-[Js], and even [Jc]-[Th]. Even without overcards, a suited, connected, or paired Flop like [8h]-[Js]-[Ts], or [Kh]-[Td]-[Ts], would leave your Queens drawing slim. Fred nodded.
Your post-Flop bet was okay, I said, because you represented top Set, pocket Aces, or Big Slick. Your first mistake was your plan to fold if raised. Even without Kings, an advanced player might raise to test your strength, to slow you down, and/or to obtain a ‘free’ card on the Turn. My action would depend on who raised.
Your next mistake was lead betting on the Turn. Although you hate giving them a free card, they both smooth-called your post-Flop bet with that King on the tableau. You should assign them hands like Big Slick, a weak King, or possibly [Ah]-[7h]. With Kings being likely, I would have checked the Turn and then mucked if an opponent showed strength.
I too would have checked the River. If the Cutoff bet and the Button called (or raised), then I would have folded, because the Cutoff might have been bluffing, but not the Button. If the Cutoff checked and the Button bet, then I would fold, call, or raise, based on my read of the Button.
“Even heads-up pocket pairs are a coin toss against two overcards, plus it’s rare to get heads-up before the Flop at limit Hold’Em,” I said. “With overcards on the tableau, bad position, and two or more opponents, rather than lead bet, I look for reasons to muck.”
How to Profit From Low Limit No Fold’em Games
July 24, 2006 at 3:07 pm | In Holdem Limit | Leave a CommentFirst published in Poker Player Newspaper
Since the rise of the popularity of poker, there has been an influx of new players of all ages, races and backgrounds. Mike tells me that in the “olden days” the poker players learned from experience, trial and error. Well, today’s new players don’t all have the desire to lose money through trial and error, so many are reading every book they can and watching all the video lessons available, in order to avoid the major “learning” losses their predecessors experienced.
Most of the new beginners will start playing in lower limit games to test the waters, usually $1-$2, $2-4, or $3-6 limit hold ‘em. They have a rude awakening, though, as the games don’t proceed quite as they had expected. The players in these lower limit games are different, because they fold less often and go on to see the flop more frequently than in bigger games. It is common for four to six players to be involved in the final showdown.
Puzzling. As beginning players who’ve read the strategy books, they find this looser play quite puzzling; and skilled players will find it rather exasperating. Many players have a tendency to whine about how impossible these games are to profit from. You’re sitting there with superior cards, no one has folded, and your greatest fear now is that you are going to get drawn out on at the river by something you least expect. It has happened too often and still you sit, holding your breath apprehensively, knowing in your heart that the river card could spell doom. If you figure in the rake, as well, there goes even more money.
Mike says that there is a “formula” for winning at low limit when a “rake” is involved. You have to consider the rake when playing hands. You will need to have a superior hand to prevail over the rake. You won’t be able to play many of the hands you’d normally play in larger timebased games.
Don’t play less conservatively just because everyone else around you is gambling. They will lose by their loose play, allowing you to profit. Tighter. If you don’t have to consider a rake, then you can play looser, but not as loose as the players around you. You should play tighter than your opponents, enabling you to have a quality advantage in your hand selection.
In these loose games, fancy play isn’t necessary or recommended. Weak players don’t realize what you’re attempting to do and won’t react as expected.
Mike says, “You will get drawn out on. Since you normally will be entering the pot with the best hand, the proportion of hands that you will be drawn out on will be much greater than your opponents. Don’t get frustrated about this. It’s where your profit comes from. Winning players are drawn out on much more often among the hands they choose to play than losing players.”
Skilled players have the ability to play hands that weaker players wouldn’t be able to attempt. This doesn’t always apply in a rake game. Caution. If you’re trying to test sophisticated plays and experiment with strategies, lower-limit rake games won’t be the place to try them. Mike says these games are a good learning ground, but you should play cautiously.
Skillful players usually find the challenge of higher-limit poker more desirable and profitable. Unfortunately, the less skillful players sometimes decide too soon to experiment with the higher limits in the hopes of bigger and quicker profits, only to go away with their tails between their legs, humiliated and broke. They haven’t mastered the necessary skills in the learning experience to enable them to succeed in the higher limit games. They haven’t reached the skill level to play with the big dogs.
So, yes, play the small games. But play them conservatively. Mike says a lot of patience and basic skills are required to be able to gain profit from low-limit rake games. He teaches that there is an old saying that applies to loose, low-limit rake games, “Tight is right.”
A Badly Misplayed Hand
March 17, 2006 at 6:26 pm | In Holdem Limit | 1 Comment Mistakes and lapses in judgment are costly
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by Rolf Slotboom
rolf@rolfslotboom.com
In loose-aggressive limit hold’em games, some of the most difficult hands to play are those that I really love in either tight-aggressive or loose-passive games: pocket queens and pocket jacks. In games in which lots of people see the flop even for multiple bets, these hands are often too good to get away from but very hard to defend after the flop if you have what you want: an overpair to the board. Because of the huge pot and the small size of the bets in relation to the pot, people are usually committed to go all the way to the river even with hands as marginal as a gutshot or bottom pair/ace kicker. Now, of course, if you flop a set with your Q-Q or J-J under these circumstances, it is a highly profitable situation (with people putting in a lot of money when drawing thin or even dead), but in almost any other case, your big pair will be very hard to play.
I like queens and jacks even less if, under the game conditions described here, I am up against an early-position raiser whom I don’t know or who seems to have very tight raising standards. In a $10-$20 game recently, I was up against someone who had both of these characteristics. (I had never played with him before, and from what I had seen, he needed a great hand to raise from up front.) Possibly because of this, I misplayed my pocket queens in a way that probably would not have happened under more “normal” circumstances — say, in less crazy games than this one and/or against people I could read more easily.
The Situation
While waiting for my regular pot-limit game to start, I got into a very juicy $10-$20 game. I had two rather inexperienced players to my left who knew about my reputation as a rock, but who still played back at me with some rather marginal holdings. To their left was a man in a wheelchair who asked the dealer after every flop to call the cards “because he could not see them.” I had noticed that every time he had a good hand, he was able to see the boardcards properly. I didn’t know if he was a very experienced player who was trying to act weak and ignorant or if he genuinely had problems coping with the speed of the game. What I did know was that in more than an hour of play, he had not made one single preflop raise — but on this hand, he raised from under the gun, making it $20 to go. From his general demeanor, I put him on a premium hand. To tell you the truth, I put him on aces or kings, and maybe queens, jacks, or A-K, but almost certainly a hand that he thought was a monster.
Two relatively loose players called his raise. On the button, I looked down at exactly the hand I did not want to see in this situation: pocket queens. While under normal conditions, against people I know very well, I am usually very good at making the correct preflop and post-flop decisions, in this case I didn’t like my hand much. The reason: I didn’t know enough about this player to be absolutely certain of anything he said or did. Thus, I was uncertain as to how I should rate the strength of my own holding. Instead of reraising with my quality hand (what most people would have done in this situation) or folding (what I might have done in a tight-aggressive game against someone I could confidently put on a monster*), I decided to simply flat-call. As expected, both blinds called, meaning we had six players for the flop — and I had no clue what any of them held at this stage.
*While folding a premium hand before the flop can sometimes be correct if the pot is small and you have an extremely good read on someone, in this case I knew it would probably be a five- or six-way pot. This meant that I would almost be getting the proper odds to call the raise with any pocket pair on set value alone! So, in a multiway pot like this, folding seemed out of the question — and even more so because of my good position, having most of the action in front of me.
Post-Flop Action: A Few Bad Mistakes and Lapses in Judgment
With the action flop 10
9
3
, and knowing the tendencies of some of my opponents, I wasn’t too pleased with my two queens, despite the fact that I had flopped an overpair. This was mostly because of the likelihood of big action when I would not know exactly where I was at, and because I knew that if I was behind, I would be drawing very thin. The small blind led into the preflop raiser, the big blind called, the preflop raiser immediately raised again, and the two players in the middle called quickly. I took my time to try to analyze this situation. For all the world, it looked like the preflop raiser had an overpair to the board. Now, if he did, it almost certainly would be bigger than mine, as I thought it was much more likely that he had kings or aces than jacks (and very unlikely that he had the other two queens). What’s more, if for whatever reason my read on him before the flop had been incorrect and he had a relatively weak hand like nines or tens, he now would have outflopped me and I would be drawing to two outs or fewer. Also, the small blind had led into the preflop raiser, so it was entirely possible that he had outflopped me, as well! Another problem was the fact that there were almost no cards on the turn that I would really welcome that would give me a true lock. There was only one “good” queen in the deck (the Q
would complete a flush draw that, considering the action, was almost certainly out there), and even the “good” Q
would create two possible straights. I also knew that if I called or raised now and small cards or relative blanks continued to fall, there would be no way I could lay down my hand, having invested this much money already. Also, I knew that if I called now, the flop bettor could easily reraise, with danger of the action being capped when I still would not know where I was at.
Now, while I was contemplating all of this, the flop bettor on my left simply called the raise, and then the big blind called, as well: They had not even noticed I was still in the hand, trying to figure out what to do. But these out-of-turn actions confirmed for me that I had the flop bettor beat for sure (I figured he probably held a 10 for top pair), and probably all of the other callers, as well. Now, with all of this money in the pot and the small but distinct possibility that I actually had the best hand, I decided that folding could very well be an awful mistake. I called, with the intention of letting the turn card and the subsequent action determine my best course of action.
The turn card was the 8
, completing a possible straight and creating a second flush draw. It was checked to the preflop raiser, who bet. One player called, one player folded, and it was up to me.
I thought it was highly likely now that the man in the wheelchair had aces or kings — but I also knew that both he and the other players in the game feared me quite a bit. What’s more, the turn card did present me with a semibluffing opportunity, and even if I couldn’t get the preflop raiser to fold his overpair against my “obvious” straight, at least I could get him to slow down. This way, I could probably reach the showdown for just two big bets, which seemed like an acceptable price in a pot this big, and if I improved on the river, I would almost certainly gain one or two additional bets. Also, I thought that if I made this move to raise, I could possibly get the lady in the big blind to check-reraise us and make it three bets, whether or not she actually had made her straight. I knew it was probably a bit of a long shot, but during the times I had played with her, I had always been pretty good at manipulating her and luring her into making decisions that would favor me. And with this much action from no fewer than two opponents, the man in the wheelchair might then reason that his big pair could not be any good — so I could perhaps win this huge pot with my unimproved queens. After some deliberation, I decided to go for it and use my strong image to represent the current nuts — Q-J, a hand I might very well hold in this position, and also a hand that would be consistent with both my preflop and post-flop actions. When the small blind folded, I immediately looked for eye contact with the lady in the big blind. She immediately responded as I hoped she would, by three-betting, which did not necessarily mean she had my queens beat.
I hoped the flop bettor would realize that after all of this action, there was no way his aces or kings could be good. But, alas, after some thought, he called the two extra bets — in a manner that indicated he would reach the showdown regardless of what the other players did. I cursed at myself for playing my hand this badly, and for getting myself in this situation. Because of the pot odds I had created myself, possibly with a hand that had been second-best to begin with, I was now forced to call one more bet simply to try to catch a lucky river, knowing that a jack and possibly even a queen could still rescue me. I called, and when a blank came on the river and it was bet and called, I knew that with this much money in the pot, folding a possible winner would be an absolute disaster. So, again I called, only to see all of my reads confirmed: The lady had J-9 for a pair and an open-ender, and the man in the wheelchair won a massive pot with pocket kings.
Some Final Words
When the dealer pushed this massive pot to the opposite side of the table, I replayed the hand once more. I had put a bunch of bets into the pot while knowing from the very first moment that there was a good chance I was behind. And I had tried to make up for that later in the hand by using my tight image to make a move, when I knew the man in the wheelchair would not be a good enough player to lay down the hand that I thought he had.
All in all, I had invested two small bets before the flop, two small bets on the flop, and then three big bets on the turn and one more on the river with a hand that had been in dire straits to begin with. In fact, I had played this hand like a total amateur, like a sucker who knew better but who didn’t have the courage to act according to his convictions. The end result was that I had lost 12 small bets in just one hand, and all the money went to someone who, at the river, suddenly had no problem reading the board anymore. Despite his awful play throughout the hand, he had been rewarded by winning a massive pot, for no other reason than he had found someone who had played even more awfully than he had — someone who had very well known and felt what to do, but was too stubborn to act according to his beliefs. 
Rolf “Ace” Slotboom has been a professional money player since 1998, specializing in limit hold’em and pot-limit Omaha. He is the tournament reporter for almost all major European tournaments, and is the Dutch commentator for Eurosport’s EPT broadcasts. His first book, Hold’em on the Come: Limit Hold’em Strategy for Drawing Hands, is scheduled to be available in March. Rolf can be contacted directly through his site, http://www.rolfslotboom.com/.
Playing the Blinds in Limit Hold’em Part IV — After a Nonsteal Raise
February 20, 2006 at 2:29 pm | In Holdem Limit | Leave a Commentby Barry Tanenbaum
pokerbear@cox.net
First published in Card Player
Analysis of a variety of situations in which the blinds face a preflop raise
Thus far, this series has discussed how to play the blinds if a late-position player raised with no one else in. Because this frequently can be a steal-raise, you can play quite a few hands. You can find those discussions, with the recommended hand-selection criteria and key thoughts, at http://www.cardplayer.com/.
In this column, we will look at a few scenarios in which the blinds are facing a raise from a different position or with more players in the hand. Specifically, we will examine the following situations:
• An early-position player raises, and everyone folds.
• An early-position player raises, and one person calls.
• An early-position player raises, and several players call.
• A middle-position player raises, and no one calls.
• A middle-position player raises after a player has called.
• A middle-position player raises, and several players call.
• A late-position player raises after one player has called.
• A late-position player raises after several players have called.
• The button raises after the cutoff calls.
Clearly, we cannot be comprehensive and cover every possibility, but this sampling should offer a good guideline of how to play the blinds when facing a nonsteal raise.
An early-position player raises, and everyone folds: If you were ever going to play tightly in the blinds, this is the moment. You are out of position against a player who has announced that he has a premium hand. If you are new to the game, you might think, “I don’t know this guy, and maybe he raises more often than he should.” If that were the case, someone else probably would have called or three-bet. The fact that everyone else folded should tell you that this is not the time to venture forth with a mediocre or poor holding. This is especially true if you hold an ace. In this situation, I would fold A-J automatically, and frequently would fold A-Q, as well. Small pocket pairs might be playable if you know the player is predictable (he will bet the flop and check the turn with a big ace, and bet with a big pair). If you are going to play a small pair from the small blind, though, you need to reraise to protect your pair from overcards held by the big blind, who will be tempted to call because you just made the pot bigger.
An early-position player raises, and one person calls: Even though you are now out of position to two players, you can play a few more hands here. Not only is the pot bigger, but the early-position raiser will play more honestly because of the additional player. Thus, it will be easier to tell where you are. However, bad aces play especially poorly here, even when suited, because if the raiser does not have a good ace, the caller might. Never play a bad ace. There is less reason to reraise from the small blind with a small to medium pair, as the extra player already has created too many overcards, and you primarily will be fishing for a set. Big cards are dangerous to play, but suited connectors can be played if you know how to fold them when you flop only a pair.
An early-position player raises, and several players call: You can call with a number of hands, but continue to avoid big-little combinations (for example, K-6 and A-4). Suited cards now have value, and you can play them, including suited aces (but beware of playing the hand if you flop a pair; you are looking for a flush draw or a miracle flop). One of the reasons you can play more hands is that most of the time the preflop raiser will bet. Since he is on your left, you will have excellent relative position for the first and maybe more rounds of betting. Thus, you can see what the others will do before committing yourself.
A middle-position player raises, and no one calls: Compared to the early-position raiser case, a middle-position raiser will have a greater variety of hands. As a result, the blinds will be able to play more hands. Actually, I recommend that the small blind still fold all but premium hands here, as he is still in a raise-or-fold situation, and is facing a real hand. The big blind can add back those suited aces, as well as K-Q and K-J, as they are less likely to be dominated here.
A middle-position player raises after a player has called: I have included this case because this raise has some interesting characteristics. It can’t be a steal-raise, as there is no hope of winning the blinds without a contest (the limper will call). But it could be an isolation raise made with mediocre values if the caller is a weak player and the raiser is aware of that and is capable of capitalizing on it. If this is the case, either blind can make a play with a decent hand by reraising. This may get the limper (and the big blind, if the small blind reraises) to fold, creating dead money and taking the initative away from a player who was just making a play. Note that this is a dangerous play, as the raiser may not have been thinking along the lines of an isolation raise and simply may have a premium hand. You really need to know your opponents to try this. If not, simply play as if the middle-position player had open-raised.
A middle-position player raises, and several players call: You can treat this case much the same as if the raise came from early position. Your relative position will be good after the flop, and the raiser should play honestly because of the callers behind him.
A late-position player raises after one player has called: All of the comments about isolation plays hold true here, and perhaps even more so. Late-position raisers take all sorts of liberties with raises, especially if they do not respect the single caller. Again, you can play lots of hands here, but give serious thought to reraising if you are going to play, occasionally with some of your weaker playable holdings. You still can show a long-term profit if you are a good player by creating dead money and gaining the initiative if everyone misses the flop. Again, you will be playing from out of position and, especially if the caller does not fold to your three-bet, will have to proceed cautiously.
A late-position player raises after several players have called: Surprisingly, this is not as good a situation for you as the one in which an early-position player raised and there were several callers. First, you will not be last to act, and there may well be more raising. Second, if form holds, everyone will check to the raiser on the flop, and he will bet. That will put you in the terrible position of having to act before the entire field. Thus, you should play only very good hands, and I do not recommend small cards even if they are connected. You can play suited connectors down to 6-5 suited, but you will need to hit the flop quite solidly to continue. All pocket pairs are playable.
The button raises after the cutoff calls: This is an extreme case of likely isolation. You should reraise with any hand you are going to play from either blind. The cutoff clearly has a mediocre hand and is likely a weak player, as he did not open-raise from late position. The button has no fear of someone waking up with a hand behind him, and his raise simply could be a combination isolation/steal. Still fold mediocre hands, but three-bet any hand with good high-card strength.
Conclusion: You need to be selective in playing the blinds against a raise no matter where it comes from. But you need to think about the likely strength of the raiser’s hand and your relative position after the flop to determine your playing criteria.
In the next issue, I will continue this series with some specific raising and reraising opportunities from the blinds.
The Hidden Math of a Limit Hold’em Hand
January 23, 2006 at 6:18 pm | In Holdem Limit | Leave a Commentby Matt Matros
First published in Card Player
Poker skills and math skills are both required to be a successful poker player
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There seems to be an ongoing debate in the poker world between the “math guys” and the “poker guys.” I’m sometimes called upon to speak up for the math guys. Although I’m happy to discuss the mathematics of the game, my arguments don’t usually contradict the poker guys. The fact is, to be a successful poker player, you need the poker skills to assess your opponent’s hand strength, and you need the mathematical skills to know what to do with that assessment. Poker math is useless unless you know how to apply it. Let’s look at a typical hand of limit hold’em, and we’ll see how math skills and poker skills come into play.
You’re at a ninehanded limit hold’em table, and the first player to act (under the gun, or UTG), a good player, opens for a raise. Everyone folds around to you in the big blind, and you look down at the Ks Qs. It’s time for decision No. 1 — call, reraise, or fold? I’m going to narrow the options down to call or fold (the rationale for doing this is the subject for another column). How can we evaluate the two choices? A “math guy” who’s unfamiliar with poker might reason that since K-Q suited is almost a 2-1 favorite over a random hand, we have an easy call. But any hold’em player will understand immediately why that doesn’t make sense. Our opponent doesn’t have a random hand — he has an UTG raising hand. So, what does that mean? Well, when a good player raises from UTG in limit hold’em, it is very reasonable to assume he has a hand in the range of 7-7 to A-A, A-J suited, A-Q, or A-K. Now how does our K-Q suited look? Using PokerStove (software I’ve mentioned in earlier columns, which is available free at http://www.pokerstove.com/), we learn that K-Q suited has 36 percent equity against an UTG raiser. This is where a player who ignores the math might reason, “I’m a significant underdog, I should fold.” Knowing the equity of K-Q suited against an UTG raiser helps only if we can apply it properly. In this situation, we are being offered 3.5-1 pot odds on our call. That means, if the action stopped here, we only would need to win 1/(3.5+1) = 22.2 percent of the time to show a profit. We would have an easy call with our K-Q suited and our 36 percent equity. But the action doesn’t stop here. We are not all in. We have to play the rest of the hand, from out of position, no less. Is there enough money in the pot already, and do we have a strong enough post-flop strategy, to make this call with K-Q suited against an UTG raiser and show a profit? Ah, that is the question, and there is no easy answer — for poker guys or math guys. I don’t have any kind of proof, but I believe I show a profit by calling in this situation. So, let’s say you call, and take a look at the flop.
The flop comes down Kh 9c 3s. Decision No. 2 — check or bet? We’re going to check (once more, I’ll save the rationale for another column). Your opponent bets. Decision No. 3 — raise, call, or fold? To make the right choice here, the first question we need to ask is, do we have any new information about our opponent’s hand? The math guy might not know it, but any experienced player will tell you the answer is no. When a player raises from UTG in limit hold’em and is called only by the big blind, the UTG player is so likely to be ahead after the flop that he will bet when checked to, literally every time. So, giving our opponent the same range as before, how does our Ks Qs look after the flop of Kh 9c 3s? Well, it looks pretty darn good. Using PokerStove, we learn that our K-Q suited is almost a 2-1 favorite over UTG’s range. Armed with that information, the poker guy and the math guy come to the same conclusion: Raise.
You raise and your opponent calls. His call doesn’t tell us much. He’s getting 7.5-1 on his money, which means he should probably take a card off with hands as weak as A-J suited and A-Q. And if our opponent has a strong hand, such as a set or A-A, he could easily be slow-playing. Maybe we can eliminate 7-7 and 8-8 from our opponent’s range, but that’s about it.
The turn is the 10h. Decision No. 4 — check or bet? Even though it makes a bunch of draws possible, the turn card isn’t so bad for our hand. After eliminating 7-7 and 8-8 from our opponent’s range, and putting the 10h on board, we’re still a 54 percent-46 percent favorite. Bet again.
We do so, and our opponent raises. Yikes. That’s bad. Decision No. 5 — call, fold, or reraise? We’re not going to reraise, as that would be maniacal. It’s unlikely our opponent would make this turn raise with something like J-J or A-Q offsuit. The only hands that really make sense are A-K, K-K, 10-10, 9-9, Ah Jh, or Ah Qh. How does our Ks Qs look against this very strong range? Not so hot. We have a mere 19 percent equity. So, we fold, right? Not so fast, poker guy, the math guy still has to speak. We’re getting 7.25-1 (two and a quarter big bets went in preflop, two more went in on the flop, and three more have already gone in on the turn) immediately, and even if we assume our opponent will bet the river, too, we’re getting 8.25-2 to call him down all the way. So, even if our opponent bets the river every time, and even if we never get an extra bet on the river with a straight or trips, we need to win only 19.5 percent of the time to show a profit, meaning it’s about zero EV to call him down. It seems clear, then, that we can’t fold here. So, we call.
The river brings the 4c. We check and our opponent bets. Decision No. 6 — call, fold, or raise? We’re not going to raise. Should we even call? Our hand didn’t improve, and if we give our opponent the same range as before, there’s only a 9 percent chance that our hand is good. But how often do we need our hand to be good? We’re getting 9.25-1 on our money, so we need the best hand only 9.8 percent of the time to show a profit. Based on that, it seems that either calling or folding would be reasonable in this spot. Maybe it’s time to ask what the global benefits are to each play — the impact that this decision will have on all the other hands we have to play. If we fold, our opponents may label us as someone prone to making big folds on the river, and we might become more of a target in the future. If we call, not only will our opponents think twice before betting into us, but we’ll gain some information about our opponent because we’ll get to see his hand. Add into the mix that there might be some chance our opponent is getting out of line with Q-Q or K-J suited, and I think calling is the preferred play.
I arrived at this analysis not as a math guy, or a poker guy, but as a poker-math guy. The numbers in poker are useless without context, and hand-reading ability is useless without the mathematical knowledge of how to use those reads. I’m not a mathematician, I’m just a guy with a bachelor’s in the subject. I’ve made my career as a poker player, and I am much better at calculating hand equities than I am at integrating functions in n-dimensional space. Maybe I would qualify, however, as a “poker mathematician.”
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