Questions tagged [poker-theory]

Poker theory is generally based on mathematical principals to define the theory.

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5
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3answers
445 views

Can a King be beaten in one card poker?

This question is about the following theoretical model of poker, which is a greatly simplified version of my earlier question. Suppose that from one deck of cards, we remove all the Kings, and give ...
11
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3answers
2k views

Simplified poker games

Is there a list of simplified poker games - preferably ones for which there is either a complete solution (ie the optimal strategy for all players is known) or at least some extensive analysis, either ...
3
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2answers
10k views

Pre-flop charts 6-max cash games

I am planning on building a poker bot. The first and easiest part is the pre-flop strategy. Do you guys have any links for a good pre-flop strategy in NLH 6-max cash games, 100BB deep? This includes: ...
3
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2answers
58 views

What to consider in order to build a Pre-Flop range chart (Hold-em)?

I know there is a ton of pre-flop open/3-bet range charts online (even in this forum). But, I am trying to understand the "main" considerations people use to build them. I'm pretty new to the game, ...
2
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1answer
91 views

Does Heads Up Hold ’em GTO assume a linear relationship between utility and money?

Would it be possible to exploit a GTO poker player if you recognized that you have different values than that player? For instance, if there are decreasing returns to money (such that your first ...
8
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4answers
14k views

Why is it easier to make a flush than a straight with four cards already matching?

In draw poker with five cards, if I have four cards with an open-ended straight draw, why is it a lower probability to get the fifth card for the straight than if you have four cards in a flush and ...
1
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1answer
42 views

In a poker game with a double-sized deck, does a “Flush Pair” have a special rank?

Suppose I play a game of 5-card-draw with a relatively large table (>5 players), necessitating that I double the deck with two standard decks. In addition to adding 5-of-a-kind to the hand rankings (...
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0answers
35 views

Poker odds calculation of winning hand type

There are a lot of libraries that calculate the winning probability of texas holdem poker player and the probability of each player having some combinations(pair, straight...). Does anyone know where ...
4
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3answers
157 views

Need analysis of flop bluff shove

I'm playing heads-up in a cash game (only 2 players at the table). I have 40xBB. The opponent has 60xBB. I'm BB. I have A♥9♦ The villain min-raises. I raise 5xBB. He calls. The flop: J♠Q♠K♠ I go ...
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2answers
73 views

Is this HUD stat profile a nit?

Game is 50NL six max. Villain in early position raises to $1.75 (3.5xBB) pre-flop. All fold up to hero. Hero is on button. Hero's stack is $65. Villain's stack is $50. Hero has Villain on following ...
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0answers
172 views

Calculating Nash Equilibrium for HU NLHE push fold game

This question has been asked before here and here. But what i am looking for is the specific calculation methodology or pseudocode. Additionally my understanding itself of Nash equilibrium is this ...
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1answer
131 views

Poker aggression - Flop, Turn and River

Given a low stakes NL Holdem game, statistics of 200+ hands are given as below. PreFlop aggression : 60% Flop aggression : 70% Turn aggression : 50% River aggression : 66% Win rate ...
6
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1answer
491 views

General strategy shortstacked PLO cash games

I heard that playing shortstacked PLO in cash games can have a big advantage. Say ~50BB deep. I have a couple of question about this. How can this be a big advantage? What would be a good general ...
2
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3answers
3k views

How to decide winner between equal double pairs in Texas holdem? [duplicate]

I have played the free Texas Holdem in one online poker app. I do not understand why the winner is approximated apparently randomly when two players both have pairs of exact magnitude, for instance ...
2
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2answers
98 views

How do straddle and antes effect the absolute stake?

I had trouble phrasing the question correctly so forgive me for that. I will try to explain it the best way I can. Imagine a game where there is small blind (2 chips) big blind (4 chips), straddle (8 ...
4
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2answers
315 views

Preflop range for representing the nuts on every board?

What is the minimum preflop range I have to play to have on every 5 Card board the nuts in my range? E.g. On a: A♠4♠5♠K♣Q♠ Board I would need 2♠3♠ But ...
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5answers
2k views

The right bluff frequency

In the book of Bill Chen, "The mathematics of poker", there is a formula to calculate the right frequency of a bluff action. The formula has been calculated in a simplified version of poker. Even ...
4
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1answer
454 views

ICM vs FGS in spin & go's

I am trying to set up some general ranges in spin & go's. For example what hands I should be shoving in the SB vs the BB with x amount of blinds. ICM nash equilibrium is the easiest method to ...
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3answers
3k views

What is the nature of Omaha starting hands?

When I first started to play Omaha coming from a Hold em back ground it seemed to me that the nature of a four card hand was different then the nature of two a card hand. It seemed that at a very ...
4
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4answers
721 views

Looking for mathematical paradoxes in Poker

I have been working on mathematical paradoxes. I am looking for paradoxical situations in Poker for a deep study. I found things, like Morton's Theorem, Implicit Collusion or "all in" strategy, could ...
0
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0answers
32 views

Rules for Full house [duplicate]

How the full house winner is chosen. Best of five or the card user has? There was a scenario in a popular mobile app poker, where I had J, 4 On the board J J 4 7 8 I Guess, I have the best ...
2
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3answers
111 views

Is there a theory of how a novice can be a favorite against a world class player with a stack advantage?

The novice has a three to one stack advantage over the world class player. To make it simple, let's call it twelve chips to four. The novice knows enough to try to go "all in" if possible. So his ...
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1answer
131 views

Why do so few players play razz?

I don't understand why razz is not more popular. Is it an especially difficult game to learn or play? Or are there other causes that keep the game from becoming popular?
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9answers
6k views

Studying poker math - is it worth it?

I've done some studying, learned about ranges for stealing, raising, calling, positional play etc. but I get bored with all that theory. I don't really care about my odds and outs and I probably make ...
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2answers
2k views

What are practical differences between 8-max and 9-max tournaments?

Most online poker sites offer specialized tournaments with 8 players vs 9 players on a table, and some people have been advocating 8-max for live games as well. For 6 max, the difference is pretty ...
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2answers
2k views

Probability Of Getting A Straight Flush Or Royal Flush When Holding QJs

Given that you are dealt the J♥ and Q♥, what is the probability that you will eventually make a straight flush or royal flush? Having these cards in your hand means that: 1). the only ...
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0answers
72 views

Erratum in “The Mathematics of Poker” [closed]

I think there is a little erratum in a computation p 79: the result of subcase c) should be 186.36 instead of 346.21. I didn't see that one listed in the official errata list (https://www.conjelco....
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0answers
15 views

It`s split pot if [duplicate]

If is A 2 3 4 5 heart down. X have 6 7 heart and Y have 8 9 heart . It's split pot becouse is A down or Y win?
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1answer
1k views

How to calculate probability of flopping a set (with pocket pairs)?

Building a poker program and would like to make sure I have my calculation correct. If a player is holding pocket pair, how does one calculate the probability of flopping a set (one card out of the ...
3
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3answers
806 views

Preflop action when you hold good pocket pair or draw

Consider you have a made hand like a pocket pair, or a good preflop draw like two suited cards, would it be good to play aggressive, even go all-in, if you have i) a low stack, ii) a medium stack, or ...
2
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1answer
44 views

What is a small card in a texas holdem preflop hand?

How do you define a small card in a texas holdem preflop hand? In the book "Holdem poker for advanced players" by Sklansky and Malmuth on page 14, they mention that "an x represents a small card". ...
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3answers
300 views

You have AA in the BB. The BU opens to 3.5x. What is your line?

You have AA in the BB. The BTN opens to 3.5x. What is your line ?
2
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1answer
98 views

Headsup push fold ICMizer problem

When setting up general push fold ranges in ICMizer I spotted something strange. I would think that the shorter you'd get the wider you'd have to shove, but then this came out of the machine (first ...
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5answers
541 views

What mathematics should I learn to get better at Poker?

I have learnt about pot odds, but that's about it right now. I mean to get "The Mathematics of Poker" at some point but in the mean time I'm trying to figure things out myself. What other mathematics ...
9
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3answers
890 views

Can a bettor concede his hand without showing it?

Let's say someone bluffs on the flop, turn, and river with "nothing", (maybe he has AK), and is called all three times, by someone who probably has a small pair. In theory, he is supposed to show his ...
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0answers
40 views

How did I lose this hand? [duplicate]

I was playing in a tournament on bet365, how did I lose this hand, I would've thought my straight would beat his 3 of a kind, http://prntscr.com/g7dq4z. I just got over my tilt and realised he had a ...
2
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2answers
1k views

Computing Nash equilibrium strategy

How does one in principle compute the Nash equilibrium strategy for NLH? Are there different methods? Let us simplify the case and consider only 2 players and only 1 hand in isolation. (No history)
0
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2answers
246 views

Is the Nash equilibrum strategy probabilistic?

Suppose you play with a Nash equilbirum strategy in a heads up NLH match, can you play every equal situation in the same way? (Equal in the sense of the same cards on the board and in your hand and ...
4
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3answers
634 views

Texas Hold 'Em possibilities

Suppose you have been dealt “4♡, 5♡”. Suppose you have one opponent. What is the conditional probability that you will win, given these two cards in hand, and that the board is “3♢, 4♢, 4♣, 4♠, 5♢”? ...
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1answer
56 views

Are 2 players tables as profitable as 6 players games? [closed]

I fill that 2 players tables game is more predictable. From your expirience can earn plaing 2 player tables as much as 6 player?
3
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3answers
2k views

Converting Backdoor Draws Into Equity

During a session, most of the flops you play, you miss. Most of the times that you connect with the flop it's a weak connection, often with "backdoor" outs, i.e. Having to hit multiple cards, over ...
0
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1answer
129 views

How Do I Make Poker Winnings look like Normal Income [closed]

So recently I have been on a huge run winning tons of money in offline cash games. I am making so much a month I want to quit my job and just play poker full time and take rest of day off, pay all ...
1
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2answers
105 views

Are there any recommended Tournament Theory Books?

When I got into Poker originally over 10 years ago, I bought myself a copy of "Hold'em Poker" by Sklansky & Malmuth for a bit of theory study off the table. Having got back into it recently, ...
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5answers
588 views

Defending a made hand, is it good to make a high bet?

Cash table with 7 opponents. In early position Q♥6♥ and I opened for 3BB pre-flop. Three opponents called. The flop was 7♠Q⋄8♣ giving me top pair. I opened for ...
5
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3answers
516 views

Expected Value for SB und BB in NL HU (GTO)

Lets consider a NL HU Match 100BB deep (no rake). Both players are playing GTO (game theoretical optimum). Lets assume in the GTO Strategy the SB open limps or open raises r times and open folds f ...
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5answers
792 views

How many ways to shuffle a standard deck of 52 cards?

Most likely you've had a situation, where you look down at your pocket cards, and they're exactly the same as the hand before. If they're junk, you suspect that the dealer is being lazy and didn't ...
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2answers
256 views

Who has advantage if one player is known to have an Ace?

Suppose that in a Texas hold'em heads up both player 1 and 2 know from the beginning that player 1 has an Ace. (This cannot happen in a normal game, of course.) Who has an advantage, player 1, since ...
11
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8answers
4k views

Can the optimal strategy for low stakes holdem be considered simpler as a general rule?

It appears that some of the subtleties of the game of poker are actually counterproductive against weak players. For example, raising is better than calling in many situations because it provides you ...
0
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3answers
287 views

Are there hands that are considered better for big tables rather than small ones

Mathematicly speaking. Is there a hand that is good for big tables and good for small tables. And not mathematicaly a nice real example from real life would be nice.
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2answers
718 views

Fictitious play for multiway hand in push or fold regime

I know the theory behind the push or fold in heads up (Is well explained in The mathematics of poker of Chen & Ankenman). I know that exists software (e.g. ICM trainer) that computes the push or ...