### Partial Hole Cards

#### Introduction

- There are 1326 possible unique starting hands in Texas hold'em poker.
- However, in pre-flop analysis the suits do not matter:
- K♥Q♥ is equivalent to K♣Q♣

- All that matters is the ranks of the two cards and whether they are suited.
- This reduces the unique starting hands down to only 169.
- The ranks can be labelled as:
- The Major Rank
- This is the larger of the two ranks.
- If the hole cards are K♥Q♥ then the major rank would be K.

- The Minor Rank
- This is the smaller of the two ranks.
- If the hole cards are K♥Q♥ then the major rank would be Q.

#### Notation

- The standard notation for partial hole cards is:
- Major Rank, e.g. K
- Minor Rank, e.g. Q
- Suitedness
- s if the cards are suited
- o if the cards are offsuit
- If the cards are a pair, then the suitedness can be omitted

- For example:
- K♥Q♥ = KQs
- K♥Q♣ = KQo
- K♥K♣ = KK

#### Expanding

- Suited:
- If the partial hole cards are suited then they can be expanded into 4 different hole card combinations.
- E.g. KQs can be expanded into K♥Q♥, K♦Q♦, K♣Q♣, K♠Q♠

- Offsuit:
- If the partial hole cards are offsuit then they can be expanded into 6 different hole card combinations.
- E.g. KQ can be expanded into K♥Q♣, K♥Q♠, K♥Q♦, K♦Q♣, K♦Q♠, K♠Q♣

#### Connectors

- We can calculate the gap between two ranks.
- For example, the gap between KJ is 1.
- If the gap is 0 then the cards are described as
**connected**. - Larger gaps are also named:
- 1 Gappers, e.g. KJ
- 2 Gappers, e.g. KT
- 3 Gappers, e.g. K9

- Hands that are connected have a higher chance of becoming straights. However, that chance reduces as the gap increases.
- Hands that are both connected and suited are called
**suited connectors**.