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Creating Strategy Guides


After analyzing a hand, my analyzers then create two numerical values which describe the best play. The first is the Hand Type, which contains coded information that describes the cards which were held. The second value is the Rank/Sort code, which describes the ranks held and acts as a key that can be used to sort multiple plays which appear on the same line.

Hand Type


This numeric value describes the cards held. Here are the different possible values for each group of bits in the code:

Bits Used Description Values
2 Game-Specific
Information
ACE$ Bonus Poker 00 = All other
01 = Spelling ACE$ possible
Black Jack Bonus Poker 00 = All other
01 = Cards held include a Black Jack
Double Bonus Poker Plus 00 = All other
01 = Adjacent quads possible, one end occupied
02 = Adjacent quads possible, neither end occupied
Games where a Royal Flush
in a specific suit pays extra
00 = All other
01 = Cards held can complete a Royal Flush in the specified suit
Lucky Suit Poker 00 = All other
01 = Cards held are in a regular suit
02 = Cards held are in the Lucky suit
03 = Cards held are in mixed suits (Lucky with one regular)
One-Eyed Jacks 00 = All other
01 = Cards held are suited in Clubs or Diamonds
02 = Cards held are suited in Hearts or Spades
Sequential Royal
Flush Games
00 = All other
01 = Cards held can complete a Sequential Royal Flush
All Other Games 00 = Reserved
4 Special Cards Dealt Double Down Stud 00 = None, hand not doubled
01 = One, hand not doubled
02 = Two, hand not doubled
03 = Three, hand not doubled
04 = Four, hand not doubled
05 = None, hand doubled
06 = One, hand doubled
07 = Two, hand doubled
08 = Three, hand doubled
09 = Four, hand doubled
Deuces and Joker
and similar games
00 = None
01 = One Wild, No Joker
02 = Two Wilds, No Joker
03 = Three Wilds, No Joker
04 = Four Wilds, No Joker
05 = Reserved (not used)
06 = Joker
07 = One Wild, plus Joker
08 = Two Wilds, plus Joker
09 = Three Wilds, plus Joker
10 = Four Wilds, plus Joker
Shockwave 00 = Regular mode
01 = Shockwave mode
All Other Games 00 = None
01 = One
02 = Two
03 = Three
04 = Four
05 = Five
4 Special Cards Held Deuces and Joker
and similar games
00 = None
01 = One Wild, No Joker
02 = Two Wilds, No Joker
03 = Three Wilds, No Joker
04 = Four Wilds, No Joker
05 = Reserved (not used)
06 = Joker
07 = One Wild, plus Joker
08 = Two Wilds, plus Joker
09 = Three Wilds, plus Joker
10 = Four Wilds, plus Joker
All Other Games 00 = None
01 = One
02 = Two
03 = Three
04 = Four
05 = Five
3 Regular Cards Held 00 = None
01 = One
02 = Two
03 = Three
04 = Four
05 = Five
4 Description of Cards Held 00 = Garbage
01 = Single Card
02 = Unsuited Cards
03 = Suited Cards
04 = One Pair
05 = One Pair plus Kicker
06 = Three of a Kind
07 = Three of a Kind plus Kicker
08 = Two Pair
09 = Four of a Kind
10 = Five of a Kind
11 = Other Five-Card Hand
4 Made Hand (used when Description = 11)
1 Wild as Natural 00 = All Other
01 = Wild Card acting as a Natural
1 Straight Possible 00 = No Straight possible
01 = Straight possible
3 Number of High Cards Held 00 = Not Applicable
00 = None
01 = One
02 = Two
03 = Three
04 = Four
05 = Five


Rank/Sort Code


This numeric value describes the rank(s) held. It also serves as a key to be used when sorting multiple hands in the same group. Here are the various values it can contain:

Bits Used Description Values
1 Ace as High 00 = Ace as low
01 = Ace as high (default)
4 Rank 1
4 Rank 2
4 Rank 3
4 Rank 4

The reason why there is a value for Ace-low is so that hands such as A23, A24, A25 appear first in a list such as "Suited A23, A24, A25, 89J, 9TQ". If this value didn't exist, the Ace in the hand would cause Ace-low hands to appear at the end of the list instead of the beginning.

Final Steps


After every hand has been analyzed and the values have been calculated, I loop through each value and group together those which have the same Hand Type code as well as the same Minimum, Maximum or Average value. After that has been done, I sort the list of groups by its Average value (highest to lowest) and present the results.

Drawbacks


The basic strategy guides do not take penalty cards into account, and in fact are not perfect. The list is sorted by the average value of each play. It does not take into consideration hands where more than one type of play can occur, and which play is better. This means that, from time to time depending on the game and the paytable, the strategy guide will appear to have conflicting types of plays.

For example, in 9/6 Jacks or Better, Suited KT appears lower than the play for keeping a King only. This looks like a conflict, because if all King-only hands beat all Suited King-Ten hands, then there would be no need for a Suited King-Ten line in the strategy guide. What isn't apparent in this situation is the fact that the average value of King Only hands was mostly obtained from hands where a suited Ten was not dealt along with the King. The expected value does not correspond to Suited KT hands where the Ten was discarded, except for the few situations where that is the better play. The expected value of keeping a King only in a Suited KT hand when it is not the best play would be much lower than either value.

Whenever a particular play appears in the Basic Strategy guide, it means that at some point it is the optimal play. The program is designed to never include a play which is never made. For example, in some wild card games, keeping a single pair is better than keeping two pair. For these games, Two Pair will never appear in the strategy guide because it is never needed.

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