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

Open Face Chinese Poker - Theory

Categories: First Five

October 26, 2013





CLASSIFICATION OF STARTING HANDS

PART II -- COOPERATORS

Ranking starting hand strengths comparatively from 1 to 7462, then, is an exercise that not only is incredibly complex, but may very well be impossible. There must be some way, however, to approach the task. Obviously not every hand can have the same expected value. Let's take a look at Open Face Odds' classification system, then, and see if it at least can help us identify some promising starting hands -- and some stinkers!

Keeping in mind that the vast majority of starting hands are split into different rows, the following are the major category types the first five cards, as a set, can be classified into: Cooperators, Cannibals, Verticals, Disparates, and Hybrids. Here is a more detailed description of each category with examples. To simplify the scenarios, each situation will be assumed to be heads up, out of position, with 47 cards left in the deck.

COOPERATORS



Cooperators are cards that can be grouped in separate draw ranges across two or possibly three rows. The following is one possible setting of the above starting hand that meets this criterion:







From the total array of unknown cards the back row will be drawing from, improvement will come primarily from the set of cards that makes a full house - the remaining queens and fours:
[QQ444]

Meanwhile, the middle will be improving primarily from the set of cards that will make a pair, two pair, trips, or possibly a straight. This row's primary drawing range, then, is considered to be all remaining fives, sixes, sevens, eights, nines, tens and Jacks:
[5555 6666 777 8888 999 10101010 JJJ]

Notice that the primary draw ranges for each row do not merge. Inside the array of total unknown cards (below), each draw has its own discrete set of cards partitioned from the other, like oil from water. Hence the cards that make up this starting five are called full cooperators:

AAAA KKKK QQQQ JJJJ 10101010 9999
8888 7777 6666 5555
4444 3333 2222



Here is another example of full cooperators:





In this case the primary draw ranges are again completely separate:

[33] and [8888 9999 101010 JJJ QQQ KKKK AAAA]



The following hand is also classified as a cooperator, with the caveat that a minor portion of each draw range merges (the 3 and 4 of hearts).







These two cards represent an intersection of the middle row and back row draws:

{ [4h3h] + [AAA 222 33 44 555 666 777] } - Middle
{ [4h3h] + [AhQhJh8h7h6h5h2h KKK QQQ JJJ 101010 999] } - Back

They simultaneously add value to both middle and back row draws, yet since they reduce the number of pure outs for each row, we will downgrade this starting five from full cooperators to semi-cooperators. The sets of cards that constitute each draw range are still large enough and distinct enough from each other, however, to still be considered cooperating ranges, as seen in the total array of unknown cards:

AAAA KKKK QQQQ JJJJ 10101010 9999
8888 7777 6666 5555 4444 3333 2222



When the draw merge represents a zero or minute percentage of each separate draw's total range, the first five cards will be classified as "Cooperators". The example directly above shows the subcategory of semi-cooperation, while the first two examples show full cooperation. When the draw merge trends upwards towards a majority of one or both draws, the five cards will be classified as "Cannibals".

PART III: CANNIBALS