Glossary | Quantitative Poker

Variable Explanations

Button Best Hand Percentage

The "Button Best Hand Percentage" represents the proportion of the button player's hand range that consists of "best hands." A hand is classified as a "best hand" if it has more than 75% equity against the opponent's range.

Flop

The "Flop" refers to the initial three community cards dealt face-up in a poker game.

Flushes

"Flushes" indicates the highest number of cards of the same suit present on the flop. The types of flops based on suit distribution are as follows:

Rainbow Flop: No cards of the same suit.
Two-tone Flop: Two cards of the same suit and one card of a different suit.
Monotone Flop: Three cards of the same suit.

High Card

"High Card" refers to the highest card on the flop. The classification is as follows:

A-high flop: The highest card is an Ace.
H value flop: The highest card is a Ten, Jack, Queen, or King. H stands for High.
M value flop: The highest card is a Nine, Eight, Seven, or Six.
L value flop: The highest card is a Five, Four, Three, or Two

High Connectivity

"High Connectivity" refers to the potential for creating a straight or straight draw using the high cards (King, Queen, Jack, Ten) and/or Aces on the flop. The classification is as follows:

Straight: There exists a hand that can form a straight using the high cards and/or Aces on the flop.
- Ex: Ad Jh Th --> QK makes a straight
Gutshot: There exists a hand that has a gutshot or open-ended straight draw using the high cards and/or Aces on the flop. There must not exist any hand that can form a straight using only the high cards and/or aces on the flop.
- Ex: Ah Kh 3d --> JT has a gutshot straight draw
No: No hand can form a straight or straight draw using the high cards and/or Aces on the flop.
- Ex: Ah 6h 6d

Low Connectivity

Low Connectivity" refers to the potential for creating a straight or straight draw using the low cards (Five, Four, Three, Two) and/or Aces on the flop. The classification is as follows:

Straight: There exists a hand that can form a straight using the low cards and/or Aces on the flop.
- Ex: Ad 5h 2h --> 34 makes a straight
Gutshot: There exists a hand that has a gutshot or open-ended straight draw using the low cards and/or Aces on the flop. There must not exist any hand that can form a straight using only the low cards and/or aces on the flop.
- Ex: 7h 3d 2c --> 45 has an open-ended straight draw
No: No hand can form a straight or straight draw using the low cards and/or Aces on the flop.
- Ex: 9h 6h 2d

Mid Connectivity

Mid Connectivity" refers to the potential for creating a straight or straight draw using the mid cards (Nine, Eight, Seven, Six) on the flop. The classification is as follows:

Straight: There exists a hand that can form a straight using the mid cards on the flop.
- Ex: 9h, 8h, 6c --> T7 makes a straight
Gutshot: There exists a hand that has a gutshot or open-ended straight draw using the mid cards on the flop. There must not exist any hand that can form a straight using only the mid cards on the flop.
- Ex: 9h 6h 2d --> T8 has a gutshot straight draw
No: No hand can form a straight or straight draw using the mid cards on the flop.
- Ex: 9d 5h 3h

Mid-High Connectivity

Mid-High Connectivity" refers to the potential for creating a straight or straight draw using a combination of the mid and high cards on the flop. The classification is as follows:

Straight: There exists a hand that can form a straight using the mid and high cards on the flop. Must use at least one mid card and one high card from the flop.
- Ex: Th 7d 6c --> 89 makes a straight
Gutshot: There exists a hand that has a gutshot or open-ended straight draw using the mid and high cards on the flop. There must not exist any hand that can form a straight using the mid and high cards on the flop.
- Ex: Th 6d 4c --> 78 has a gutshot straight draw
No: No hand can form a straight or straight draw using at least one mid card and at least one high card on the flop.
- Ex: 9h 8h 3d

Mid-Low Connectivity

Mid-High Connectivity" refers to the potential for creating a straight or straight draw using a combination of the mid and low cards on the flop. The classification is as follows:

Straight: There exists a hand that can form a straight using the mid and low cards on the flop. Must use at least one mid card and one high card from the flop.
- Ex: 9h 7h 5h --> 68 makes a straight
Gutshot: There exists a hand that has a gutshot or open-ended straight draw using the mid and high cards on the flop. There must not exist any hand that can form a straight using the mid and high cards on the flop. Must use at least one mid card and one high card from the flop.
- Ex: 9h 6h 2d --> 34 has a gutshot straight draw
No: No hand can form a straight or straight draw using at least one mid card and at least one low card on the flop.
- Ex: Th 5d 2c

Pairedness

"Pairedness" describes the value relationships between the three cards on the flop:

Trips Flop: All three cards are of identical value.
Paired Flop: Two cards are of identical value, and the third card is different.
Unpaired Flop: All three cards have distinct values.

Statistics Terms

Regression Tree

A decision-tree-based model used in statistical analysis to predict an outcome by splitting data into branches based on different variables. It helps identify patterns and relationships within a dataset.

Root Mean Squared Error (RMSE)

A measure of how well a model’s predictions match actual values. A lower RMSE indicates a more accurate model. It is calculated by taking the square root of the average of the squared differences between predicted and actual values.

Leave-One-Out Cross-Validation (LOOCV)

A validation method for assessing a model’s performance. It involves training the model on all data points except one, testing on the excluded point, and repeating this process for each data point. The results are then averaged to estimate the model’s accuracy.