# Questions tagged [poker-theory]

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

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### Playing with an infinite copies of a deck

Let's assume we are no longer having a deck with 52 cards, but infinite cards, where every card has a probability of 1/52 to be received. With the logic, if you have two cards, the probability for a ...
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### What would be the main difference to poker if the deck would be extended?

Let's assume we had the following deck: Suits: ♠♣♥♦▲⬤ Values: 2 - 10, Soldier, Guard, Princess, Queen, King, Ace Would the ranking of all hands (flush, trilling, etc.) be still in the same order, or ...
• 179
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### Chance of winning heads-up by always shoving pre-flop

I've been generally wondering about what sort of winrate good players can expect vs. worse players, and thought of an interesting limit to this winrate. In NLHE, if the worse player just blindly ...
1 vote
188 views

### Which probability to get any combination on flop with AA?

I want know which probability to get various combinations with AA vs 1 opponent to flop: Which probability to get one pair? Which probability to get two pair? Which probability to get set? Which ...
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### 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, ...
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1 vote
116 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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### 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 ...
1 vote
424 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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377 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 ...
447 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 ...
826 views

### Why shove the river when your range is more than 50% value heavy?

From an example in Mastering Small Stakes No Limit Holdem (pg. 383): Notice that Hero [on the river] has nut hands slightly more often than bluffs. When this is the case, as long as Hero does not ...
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### 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 ...
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### 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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### 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 ...
141 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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1 vote
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### 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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### 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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### 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?
1 vote
4k 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 ...
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### 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 ...
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### 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". ...
1 vote
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### 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 ...
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### 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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### 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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1 vote
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### 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 ...
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### 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 ?
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### 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)
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### 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 ...
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### 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?
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### 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 ...
37k 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: ...
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### 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 ...
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### 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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### 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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### Bug to display 10 as Card as Poker beta

Lets say if we have to Draw all 52 Card in the question answer we can only Draw 48 Card because the 10 in the all the color . We can not Draw as Card. see the below code with Draw Card : Heart ...
194 views

### NLH - where there are x players at a table, should I play the top 1/x starting hands?

According to the fundamental theorem of poker, we should play any time we think we have the best hand. By my logic then, if there are 4 players at a table, I should play the top 1/4 starting hands, if ...
151 views

### How I should analyze my game?

I started reviewing my sessions for improve my game but I'm feeling a bit skeptical because I can't answer my own questions. I mark the most problematic hands or when I got doubts, but when I'm ...
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### Probability of 3card flush and 2 card flush from 5 cards

Got a question I can't quite wrap my head around. I would like to know the probability of getting a 3 card flush out of 5 cards and having the other 2 cards be a flush of a different suit. I think ...
436 views

### Why shouldn't i use simple percentages to base my decisions on pot odds?

I read quite a few articles about pot odds and outs. However, i find it hard to do it on a whim and often do it incorrectly. I've come out with something simple, but it gets slightly off. Is it too ...
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### Why did I win this game.. About Rules [duplicate]

This is what took place (online): Table: 8♥ - Q⋄ - 8♠ - Q♣ - K♠ My hand: 9⋄ - 3⋄ His hand: 4⋄ - J⋄ Why did it say that I won?
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### Calculating probabilities for 3, 4, 5 card Straight/Flush/Straight Flush

I am playing around with creating a new card game, similar to poker, and I am really struggling with figuring out the math behind calculating the probability of certain hands. Heres the overview of ...
665 views

### When taking pot odds into account after the flop, use chance of hitting with next two cards, or just the next card

After the flop, for pot odd does the rule of 2 or the rule of 4 apply, or said differently, do you take into account that there are still two card to come, or do you just look at the next card? To ...
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### Question of the interpretations of Pot Odds and Pot Equity, MATH

In the middle is 10 dollars, someone bets 5. I have to call 5 dollars in order to win 10 dollars. My Pot Odds - 5:10 = 1:2 I can interpret it as that i can lose 2 games and win 1 and I ll be break-...
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I play a lot of texas hold'em with colleagues & friends. We have our own little league going. Whilst I have won quite a few times, I still find myself struggling when going heads up. It's my main ...
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What are the odds of getting quadded when you have the highest full house on the table? I would reckon it's very rare, but I have done it once to an opponent.
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### Pocket Aces at a 8-10 Player Table

What are the odds of another player at an 8 or 10 player table having an ace when you're dealt pocket aces?
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### Building specific situational calcualtion of pot equity and chance of winning. Setting up the formula.

I'm UTG Pre-flop with two opponents, both all in, one is RICHIDIOT (3-6s) in the big blind, and the other PLAYER2 (UTG+2), probably has a made hand (10-10) and goes all in, triggering RICHIDIOT to ...
1 vote