The Mathematics of Poker– Implied Pot Odds Strategy: No-Limit.

Slides:



Advertisements
Similar presentations
Short stack strategy – how do you play before the flop? Strategy: No Limit.
Advertisements

How do you play weak & strong draws? Strategy: No Limit.
Short Stack Strategy: Odds & Outs Strategy: No Limit.
Bet sizing – How much to bet and why? Strategy: SnG / Tournaments.
Odds and Outs – How to play Draws Strategy: SNG / Tournaments.
Advanced strategies for postflop play Strategy: SnG / tournaments.
Advanced Strategies for Craps and Poker Billy J. Duke Joel A. Johnson.
After the flop – an opponent raised before the flop Strategy: No-Limit.
After the flop – nobody raised before the flop Strategy: No-Limit.
Switching from Short Stack to Big Stack Strategy Strategy: No Limit.
Short Stack Strategy – How to play after the flop Strategy: No Limit.
Jeff Berkowitz Tonight’s Talk  Why is poker an interesting problem?  A bit about poker strategy  A simple tournament bot  A more.
Neural Networks for Opponent Modeling in Poker John Pym.
Final Specification KwangMonarchIkhanJamesGraham.
Mathematics and the Game of Poker
Poker for Fun and Profit (and intellectual challenge) Robert Holte Computing Science Dept. University of Alberta.
Intelligence for Games and Puzzles1 Poker: Opponent Modelling Early AI work on poker used simplified.
Lectures in Microeconomics-Charles W. Upton Minimax Strategies.
Intro to Probability & Games
Using Probabilistic Knowledge And Simulation To Play Poker (Darse Billings …) Presented by Brett Borghetti 7 Jan 2007.
Minimax Strategies. Everyone who has studied a game like poker knows the importance of mixing strategies. –With a bad hand, you often fold –But you must.
Poki: The Poker Agent Greg Priebe Zak Knudson. Overview Texas Hold’em poker Architecture and Opponent Modeling of Poki Improvements from past Poki Betting.
Introduction to the Big Stack Strategy (BSS) Strategy: No Limit.
Welcome new members and class of ’12.  Each player is dealt 2 cards (hold cards)  1 Round of betting occurs now  Three Community Cards are dealt face.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.Ly vs Negreanu. 2.Flush draws and straight draws 3.Project B teams.
By Tom “LearnedfromTV” Chambers
Texas Holdem Poker With Q-Learning. First Round (pre-flop) PlayerOpponent.
Overview Odds Pot Odds Outs Probability to Hit an Out
Online Poker James Gilman. Topics ●Hand Probabilities ●Betting Odds ●Odds of winning ●Expected Value ●Decision Making ●Poker Statistics ●Variance.
Brain Teasers. Answer 3 Quantitative Finance Society Gambling Strategies & Statistics.
Introduction for Rotarians
NearOptimalGamblingAdive Matt Morgis Peter Chapman Mitch McCann Temple University.
ttest PLO Postflop Theory Video # 2: Betting the Flop
SARTRE: System Overview A Case-Based Agent for Two-Player Texas Hold'em Jonathan Rubin & Ian Watson University of Auckland Game AI Group
Shortstack Strategy: How do you play before the flop? Strategy: No Limit.
The challenge of poker NDHU CSIE AI Lab 羅仲耘. 2004/11/04the challenge of poker2 Outline Introduction Texas Hold’em rules Poki’s architecture Betting Strategy.
Poker as a Testbed for Machine Intelligence Research By Darse Billings, Dennis Papp, Jonathan Schaeffer, Duane Szafron Presented By:- Debraj Manna Gada.
Yikan Chen Weikeng Qin 1.
Neural Network Implementation of Poker AI
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.HW3 2.Project B teams 3.Gold vs. Helmuth 4.Farha vs. Gold 5.Flush.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.Deal-making and expected value 2.Odds ratios, revisited 3.Variance.
The Poker Game in Jadex by Group 1 Mohammed Musavi (Ashkan) Xavi Dolcet Enric Tejedor.
Stat 35b: Introduction to Probability with Applications to Poker Poker Code competition: all-in or fold.   u 
Texas Hold’em Playing Styles Team 4 Matt Darryl Alex.
Short stack strategy: Draws in a free play situation Strategy: No Limit.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.Expected value and pot odds, continued 2.Violette/Elezra example.
All In To put all the rest of your money into the pot.
Expected value (µ) = ∑ y P(y) Sample mean (X) = ∑X i / n Sample standard deviation = √[∑(X i - X) 2 / (n-1)] iid: independent and identically distributed.
Introduction to Poker Originally created by Albert Wu,
Penn Poker Fall Strategy Session Series
Billion Dollar Baby Game Created By: Timmy Drzewinski Edwin McCracken.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1.Hand in hw1! Get hw2. 2.Combos, permutations, and A  vs 2  after.
1)Hand in HW. 2)No class Tuesday (Veteran’s Day) 3)Midterm Thursday (1 page, double-sided, of notes allowed) 4)Review List 5)Review of Discrete variables.
Odds and Outs Strategy: General concepts. Expected Value – Dice Game Expected Value (EV) Calculating the EV in a dice game 1/3 x (+3$) + 2/3 x (-1$) =
Artificial Neural Networks And Texas Hold’em ECE 539 Final Project December 19, 2003 Andy Schultz.
By: John Cook 11/06/2009 PTTE John Cook 3/4/2016.
Outline: 1) Odds ratios, continued. 2) Expected value revisited, Harrington’s strategy 3) Pot odds 4) Examples.
Stat 35b: Introduction to Probability with Applications to Poker Outline for the day: 1. Combos, permutations, and A  vs 2  after first ace 2.Conditional.
Winning Poker Strategy Joe Hachem.  You’re always comparing the odds presented by the pot against the odds of making your hand. Simply put: the pot should.
Math in the gamble. Poker is Math Poker is a game that requires the ability to read situations and your opponents to gain an advantage in every hand you.
Texas Holdem A Poker Variant vs. Flop TurnRiver. How to Play Everyone is dealt 2 cards face down (Hole Cards) 5 Community Cards Best 5-Card Hand Wins.
Stat 35b: Introduction to Probability with Applications to Poker
ttest PLO Postflop Theory Video # 7: Executing Floats
Stat 35b: Introduction to Probability with Applications to Poker
GORDONs NB-6-max overview (V. 1.0 DocSnyder)
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
Stat 35b: Introduction to Probability with Applications to Poker
HOW TO PLAY POKER.
Presentation transcript:

The Mathematics of Poker– Implied Pot Odds Strategy: No-Limit

What are implied pot odds? ► Implied pot odds ▫Modified pot odds that speculate on another bet from your opponent if you hit your hand. Example: “the “Call20” rule from the SHC ▫If calling before the flop is unprofitable through pot odds alone, it can still be profitable through implied pot odds. ▫In No Limit Hold’em, you usually deal with implied pot odds, because the bets can be very high.

What are implied pot odds? – example #1 Hero (BB)$25 MP3$25 CO $25 SB$25 Hero (BB)$25 MP3$25 CO $25 SB$25 Preflop: 5 folds, MP3 calls $0.25, CO calls $0.25, 1 fold, SB calls $0.15, Hero checks. Flop: ($ 1.00) SB bets $0.50, Hero calls $0.50, 2 folds. Flop: Actual Pot Odds:3:1 Required Pot Odds:4:1 Flop: Actual Pot Odds:3:1 Required Pot Odds:4:1 Implied Pot Odds (Flop): For the required pot odds of 4:1, $0.50 are missing in the pot. This must be invested on the turn by an opponent if you hit. The probability of this is high –> call. Implied Pot Odds (Flop): For the required pot odds of 4:1, $0.50 are missing in the pot. This must be invested on the turn by an opponent if you hit. The probability of this is high –> call. Turn: Actual Pot Odds: 2.1:1 Required Pot Odds:4:1 Turn: Actual Pot Odds: 2.1:1 Required Pot Odds:4:1 Turn: ($ 2.00) SB bets $1.75, Hero folds. Implied Pot Odds (Turn): For the required pot odds of 4:1, $3.25 are missing in the pot. Since your play suggests a draw, it is improbable that your opponent will pay on the river if your flush comes–> Fold. Implied Pot Odds (Turn): For the required pot odds of 4:1, $3.25 are missing in the pot. Since your play suggests a draw, it is improbable that your opponent will pay on the river if your flush comes–> Fold.

What influences your implied pot odds? ► How loose is your opponent? ▫If your opponent is very loose post-flop, your implied pot odds increase. ▫If your opponent is very loose pre-flop, your implied pot odds decrease. Exception: Maniacs! ► How much strength is your opponent showing? ▫The stronger your opponent’s hand, the more difficult it will be for him to give it up. ► How obvious is your hand? ▫The more obvious your hand, the less your implied pot odds.

What influences your implied pot odds? ► Do you have position on your opponent? ▫Your implied odds are better in position than out of position. ► Are you on the flop or turn? ▫You usually have more implied pot odds on the flop, because there are still two betting rounds after this. ► How big are the stacks involved in the hand? ▫The more money that is there, the more you can win.

What are implied pot odds? – Example #2 Hero (CO)$25 UTG2$25 Hero (CO)$25 UTG2$25 Preflop: 1 fold, UTG2 calls $0.25, 4 folds, Hero raises $1.25, 3 folds, UTG2 calls $1. Flop: ($ 2.85) UTG2 checks, Hero bets $2, UTG2 raises $6, Hero calls $4. Flop: Actual Pot Odds:2.7:1 Required Pot Odds:4:1 Flop: Actual Pot Odds:2.7:1 Required Pot Odds:4:1 Implied Pot Odds (Flop): For the required pot odds of 4:1, $5.5 is missing in the pot. Since a check raise shows a lot of strength, it can be assumed that your opponent will still invest money –> Call. Implied Pot Odds (Flop): For the required pot odds of 4:1, $5.5 is missing in the pot. Since a check raise shows a lot of strength, it can be assumed that your opponent will still invest money –> Call. Turn: Actual Pot Odds:2.8:1 Required Pot Odds: between 4:1 & 5:1 Turn: Actual Pot Odds:2.8:1 Required Pot Odds: between 4:1 & 5:1 Turn: ($ 14.85) UTG2 bets $8, Hero folds. Implied Pot Odds (Turn): The pot on the river with a call from you Is $30.85 and you can win an additional $10. Your implied pot odds on the turn are thus At 4.1:1 –> Fold. Implied Pot Odds (Turn): The pot on the river with a call from you Is $30.85 and you can win an additional $10. Your implied pot odds on the turn are thus At 4.1:1 –> Fold.

Summary ► Your implied pot odds increase… ▫…if your opponent is showing strength. ▫…if your hand is less obvious. ▫…if it is harder for your opponent to fold a hand. ► Implied pot odds are… ▫…higher on the flop than on the turn. ▫…higher if you are playing in position.