Questions tagged [poker-theory]

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

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36 views

Average graph of high-ranking players' chips vs. hands played in major tournaments

(I haven't been able to find information elsewhere, so I'm asking here.) What is the typical graph of chips vs. proportion of tournament lifetime for players who did very well in a tournament (...
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549 views

In what situations will you lose the low-pot in Omaha Hi/Lo while holding Ace-Deuce?

In Omaha hi low, will holding an Ace and a Deuce card automatically give you the "nut low" hand in the event of a qualifying low hand?
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How can I calculate my total odds given different possible events?

Let's suppose I have 25% probability of drawing the winning hand, equal to odds of 3:1. Let's also assume that I’ve tracked my opponents and calculate that there is a 50% chance they will fold to a ...
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68 views

Is there a formula to calculate starting hand ranking?

I'm about to do some research with Nash tables, now I want to create an equity heatmap for the starting hands. Is there any canonical way to calculate their relative rank? Perhaps a conventional ...
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1answer
33 views

explaining the terms regarding Outs

Blockquote I was reading about calculating Odds of hitting the draw but i did not understood how they calculated the following data. Let say, if Outs is 1(which case would it be ? ), so how they ...
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2answers
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Should I use Effective M on 9-Max Tournaments?

In Tourneys I'm using Harrington M-ratio to determine actions and opponent ranges. My question is should I use Effective M with 9-Max full ring tables (using a 9/10 factor), or I should just use raw ...
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24 views

hand question review about this pot [duplicate]

IN the pot, its already a flush then why the pot did not divided equally between me and the COntender.Why he able to took all the pot ?
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24 views

Best five card hand [duplicate]

Me and some friends were playing poker and player 1 had 9/8 and player 2 had 9/3. The flop was K, K, 9, 2, 2. Who would be the winner , please explain.
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How to use poker copilot? [duplicate]

i downloaded this software called POKER COPILOT to analyze my performance but i am not able to unable to understand lot of terms mentioned in the software ? Is their any good tutorials videos to learn ...
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2answers
53 views

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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16 views

pot odds calculation [duplicate]

In an article about pot odds its written "You have the nut flush draw (nine outs) on the flop and the pot is $4. Your opponent bets $1. There is now $5 in the pot ($4+ $1), and it is $1 to call. The ...
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4answers
169 views

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 ...
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166 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 ...
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404 views
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1answer
137 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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2answers
262 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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Confusion about two pair rule in poker, can someone help me who will win [duplicate]

Hello guys please help here. i think it is a draw what do you say?
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186 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, ...
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2answers
570 views

Postflop play books references

I feel quite comfortable playing pre flop, but I feel that I am weak in post flop play. I lack the big picture of post flop play. Can anyone give me a good reference for post flop play?
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Simplest Way to Explain EV to Beginners

I've recently been teaching a few of my friends to play poker, and I've explained various facets of poker play to them, now I want to explain Expected Value. It's not a simple concept and I don't ...
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1answer
183 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 ...
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527 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 ...
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3answers
276 views

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 ...
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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 ...
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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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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 ...
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1answer
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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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41 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 ...
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3answers
177 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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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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221 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
589 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 ...
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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 ...
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124 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 ...
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321 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 ...
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1answer
508 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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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 ...
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726 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 ...
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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 ...
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113 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
160 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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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
3k 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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3k 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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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?
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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 ...
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848 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 ...
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1answer
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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". ...