Combinatorics & How To USE THEM! [Advanced Poker Theory]

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PokerCoaching coach James Romero teaches why Combinatorics matter in the game of poker and how you can best utilize them to increase your win rate and get an extra edge over your opponents who know nothing about them!

James walks you through the basics of combinatorics in poker starting from the basics. Did you know that there are 1,326 preflop combinations of possible poker hands? This is a concept that you need to learn to start really competing with some of the best poker players in the world. It will help you to start crushing high stakes cash games and high stakes tournaments!

He talks through the removal effect of how many different combinations your opponent’s can have when the community cards are revealed. There are 6 possible combinations of aces, but when an ace is on the board there are now only 3 possible combinations.

A poker concept that might be new to some players is called weighting. You must always remember to factor in weighting when you are ranging your opponents. If you raise from UTG and the BTN calls with a flop of A73 then they should have 0 combinations of AA because they would 3-bet that hand preflop. They should have all combinations of 77 which would be 3, and then maybe they only call sometimes with 33 preflop so we can weight them to having that combination once.

James talks about when he tends to use combinatorics the most; when he is bluff catching or even when he decides to bluff!

0:00 – Intro
0:19 – Why Do Combinatorics Matter?
03:43 – The Basics
09:45 – Removal Effects
12:58 – Weighting
20:35 – Examples & Applications

On this Poker Coaching channel we cover a weekly poker topic to help improve your poker strategy!

In order to take your poker game to the next level it is vitally important you learn all the nuances of the game.

Do you know what ranges of poker hands you should be playing from each position? When should you 3-bet, call or fold? When is the right time to make a hero call or a huge bluff? Do you know how to play preflop, flop, turn & river effectively and how should your poker strategy change depending on the street? What difference does it make if you are playing multi-way vs heads-up?

#pokerstrategy #jamesromero #combinatorics

Source: YouTube

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Combinatorics & How To USE THEM! [Advanced Poker Theory]

10 thoughts on “Combinatorics & How To USE THEM! [Advanced Poker Theory]

  1. Did you know about combinatorics in poker before watching this video? 🤔

  2. T5s is a great pre-flop 3-bet bluff because every straight has either a T or a 5 in them – Phil Galfond. mindblown.

  3. Good video for newer players and those who don’t believe in the concept of blockers. Particularly in the first part with the classic example of how calling with a certain one pair hand on that particular runout was a significantly higher EV play than calling with the flopped set because of the blocker.

    For those wanting some entertainment, I would highly recommend the most recently posted highlight video on HCL. It features three BRUTAL beats Jeremy took on last night’s stream before rage quitting. I’m going to give then spoiler alert below so stop reading if you haven’t seen it yet and want to be surprised at how they play out. Also, last night’s streamed game was $25 live antes with a $50 BTN ante.

    Hand 1) Jeremy ($40k deep) opens to $400 preflop with 9s9h from +2. Gets 3 callers: Francisco ($37k deep) UTG with A8dd, Julia (nearly $6k deep) from +1 with Qd10c, and Luda Chris ($58k deep) from MP with 78hh. Flop comes 8s10d9d. Checks to Jeremy who cbets $1,200 into a pot of $1,725. Luda raises like 1.1x pot to $4,800. Francisco tank calls, Julia folds and Jeremy also calls. Turn comes Jh so the board is now 8s10d9dJh. Checks to Luda who bets $6k into a pot of just over $16k. Francisco and Jeremy call. River is the 2c brick, so the runout reads 8s10d9dJh2c. Luda didn’t fire again with the bottom end of the open ender on the board and it was checked around on the river and Luda scooped the $34k pot to crack Jeremy’s flopped set. Jeremy was complaining and his face was turning red as he clearly wasn’t happy with the suckout, but he would REALLY lose it after the next hand…

    Hand 2) Luda ($78k deep) opens to $400 from +1 with A3cc. Victor ($41k deep) calls with K7ss. Francisco (nearly $30k deep) calls with 10h10d. Jeremy ($36k deep) calls with 3s3h. Flop comes 5h3d2c. Luda cbets $400 into the $1,725 pot. Victor folds, Francisco just calls with his over pair… and then Jeremy also just calls…. with his flopped set 😬 Nearly $3k pot going to the turn which comes the 10s so the board is now 5h3d2c10s giving Francisco top set. Luda checks, Francisco bets $1,200 into the nearly $3k pot. Jeremy raises about 90% pot to $3,800. Luda snap folds, Francisco 3 bets almost 1.5x pot to $12,200. Jeremy asked for a count of Francisco’s remaining stack and discovers Francisco only has nearly $17k more behind after his 3 bet. Jeremy tanked for 10-20 seconds and didn’t look too happy about but shrugged, said all in and placed chips forward towards the center of the table to lock in his 4 bet jam. Francisco snap called and Jeremy asked if he wanted to run it twice, but Francisco just said once. There was some hesitation before the river and once Francisco revealed that he turned top set, Jeremy began to erupt with a bunch of expletives as he couldn’t believe his luck as the dealer proceeded to place the blank 4s on the river, securing the $60k pot for Francisco. Jeremy continued to let expletives fly and began taking a walk around the casino to try to walk off the beats.

    Hand 3) Francisco (nearly $70k deep) limps UTG with K2ss, Jeremy (down to nearly $17k deep) tilt limps from +2 with 4c3h, Santa ($13k deep) limps MP with QcJc, Luda (over $100k deep) opens from MP to $400 with Jd10h, Patrick ($32k deep) calls from the CO with 96dd, Doc (nearly $6k deep) calls from the BTN with 9s8d, Francisco calls with his weak suited K, Jeremy tilt calls with his 43 in EP, and Santa calls with the QJ of clubs. Flop comes 2d7h6s. Checks to Patrick who bets $1,000 into the nearly $2,500 pot on the flop with 2nd pair. Doc calls with his 2 overs and an open ended straight draw, Francisco folds, Jeremy tilt calls with his dirty gutter and 2 unders and the rest fold. 3 ways to the turn which comes the 5c so the board now reads 2d7h6s5c giving Doc the nut straight and Jeremy the worst possible straight. Jeremy donk leads for $5,000 into the nearly $5,500 pot, Patrick snap folds and Doc snap rips for only $600 more than Jeremy’s bet and Jeremy obviously called. After discovering Jeremy had been coolered again, he said “I quit” and ended his session 🤣🤣

  4. Excellent video. Simplifies combinatorics and puts it to real use. Reading this in books in one thing, watching a successful MTT crusher is another.

  5. So….are the calculations are only valid when they play A6s and not K6s.
    AA with A clubs is worth infinitely more because Kx has been taken out of their range, or the solver has.
    Is that realistic?
    I am sure that in the games I play, they have many flushes apart from Ax clubs, therefore, the EV calculation is not correct in those games, and if they are this wrong on this calculation, then how about the others?
    What am I supposed to lean from such data? I am not sure.

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