STRATEGY ARTICLES


OVERVALUING SMALL PAIRS IN FRONT PART II: EXPLAINING SCOOP EQUITY, ROYALTY EQUITY AND 'GAMBLE E.V.'


STANDARD OFC BEGINNER STRATEGY: OVERVALUING SMALL PAIRS IN FRONT


PINEAPPLE OFC: TAKING AN ALTERNATE LINE WHILE IN 14-CARD FANTASYLAND TO IMPROVE YOUR SCOOP EQUITY.


A KEY DECISION POINT ON THE BUBBLE OF AN OPEN FACE CHINESE POKER TOURNAMENT, ANALYZED WITH PICTURES AND PERCENTAGES.


STRATEGY ANALYSIS OF SET 1 OF 35667, WITH IN-DEPTH EXPLANATION OF ARRAY SORTING, DRAW RANGES, AND 6TH STREET PROBABILITIES.


YOU ARE DEALT 35667, OUT OF POSITION. HOW TO THINK ABOUT SETTING YOUR HAND, NOT FORGETTING THERE'S AN ELEPHANT IN THE ROOM - 8's through J's. INTRODUCING ARRAY SORTING.


POKER COACH AND AUTHOR DERRIC HAYNIE TALKS ABOUT THE COMPLEXITIES THAT MAKE OPEN FACE CHINESE POKER A GAME FOR THE FUTURE.


AWWWW YEAH! VEGAS OPEN FACE TAKES ON OPEN FACE ODDS IN A HEADS UP PINEAPPLE MATCH. ROUND 1 HAND ANALYSIS FROM BOTH SIDES!


THE "CANNIBALS": CARDS THAT MERGE DRAW AND VALUE RANGES, ADDING TO ONE ROW WHILE SIMULTANEOUSLY SUBTRACTING FROM ANOTHER


VEGAS OPEN FACE GUEST BLOGS WITH A BLOW-BY-BLOW ANALYSIS OF A LIVE PINEAPPLE OPEN FACE HAND


THE "COOPERATORS": HANDS THAT CAN BE SPLIT INTO COMPLEMENTARY DRAW RANGES WITHIN THE TOTAL ARRAY OF UNKNOWN CARDS


DID YOU KNOW THERE ARE 7,462 UNIQUE STARTING HANDS IN OPEN FACE CHINESE POKER? OK, GREAT - NOW RANK THEM.


3 TO THE STRAIGHT FLUSH - IT'S SEXY, ALLURING AND FUN. SHOULD YOU GO FOR IT?


PINEAPPLE OPEN FACE - BEFORE CARELESSLY DISCARDING UNWANTED CARDS, CONSIDER WHETHER YOU CAN CREATE AN ILLUSION OF GOOD DRAWS FOR YOUR OPPONENT


YOU'RE DEALT A SORRY FIRST 5. CAN A MEDIUM PAIR IN FRONT SAVE THE DAY? WITH FRONT-ROW ROYALTY EQUIVALENCY FACTS THAT OFTEN ESCAPE ATTENTION


THAT BACK ROW STRAIGHT CAME IN - BUT WHAT WAS THE MATH BEHIND IT?


AN EXPLORATION OF ALL SCORING POSSIBILITIES IN HEADS UP OPEN FACE, WITH TIPS ON IMPROVING PPH (POINTS PER HAND) AVG.


THINK TWICE BEFORE YOU SET THAT BACK ROW MONSTER.....ARE YOU THINKING VERTICALLY AS WELL AS HORIZONTALLY?



OPEN FACE ODDS

STRATEGY - THEORY

Categories: Beginner Strategy, First Five

October 17, 2013





CLASSIFICATION OF STARTING HANDS - PART I

TOWARD A THEORY OF FIRST-FIVE E.V.



COOPERATORS

CANNIBALS

VERTICALS

DISPARATES

HYBRIDS

*CLICK HERE TO VIEW ACCOMPANYING CHARTS



Texas Holdem has 169 unique starting hands which are easily ranked according to relative strength. When you hear someone talking about "top ten hands" or "top 30% of his range", they are referring to the chart that starts with hand #1 (AA) and ends with hand #169 (2-7 offsuit). Among other uses, this chart can be helpful to a beginner trying to determine what a good starting hand is, or a tournament player tanking on a call and trying to range an opponent's short stack shove.

How many starting hands are there in Open Face Chinese? Including duplicate-value hands, such as the following,





the combinations are 2,598,960. Filtering out all duplicates distills the list to 7,462 hands of unique value. Can these be sorted according to relative strength? The answer is probably not any time soon (as the reasons below will help to illustrate). However, in this article a classification system will be established which can be a starting point for first-five hand strength discussion. Before introducing the system, let's outline the difficulties in creating a starting-hand strength chart.

A) There are 7,462 hands to rank. Compared to only 169 in Holdem, that's a considerable jump. Even if a comparative strength chart could be created, how would you present that much information? The "top 10" hands in Holdem becomes......."top 441" in Open Face?

B) The full Open Face set contains 13 cards, nearly twice the number used in games like Omaha or Stud. This creates mind-boggling combinatorials to deduce.

C) The architecture of the hand is vertical as well as horizontal. An Open Face Chinese hand is built in three sub-hands (or rows), not just one. This differentiates it from NLHE, Omaha, Stud, and all the other major poker variants, because their hand structures are horizontal only. The following deal might look great in 5-card draw, but it's only a great start in Open Face. Hence it is much more complicated to begin to determine expected value or win percentages.





D) Traditional starting-hand strength is variable  in a way that makes volatile in size and quality the array of (unknown) cards to be drawn upon to improve the hand. For example, if you catch a pair of kings but you are last to act in a 4-handed game and kings are dead, a KK set will never improve against AA. Thus a hand that has good relative strength in a vacuum loses value in the real-world situation, because the array of cards that contains draws to improve the hand has now shrunk. Variables that affect the array include:

1. Traditional starting-hand quality
2. Variant of the game
3. Number of players
4. Position on the table
5. Live and dead draw cards

E) A gargantuan number of full-game simulations are needed  to determine draw completion and foul probabilities of 7,462 unique starting hands in various sets as they progress from the deal to 13th street. It's one thing to calculate probabilities in a single row at any given point in the hand (and this certainly can be useful while making decisions during play), but quite another entirely to predict the outcome of first-five dealt cards as they evolve into a fully set hand, not to mention EV and win rate against 1-3 opponent hands.

PART II: COOPERATORS