# Partial Hole Cards

### 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.
• E.g. KQ
• 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.