Ranges, GTO, and Strategy
Range structure, blockers, removal effects, mixed strategies, randomization, and frequency concepts.
Alpha (Poker)
Alpha is the fold rate a zero-equity bluff needs to break even: `alpha = bet / (pot + bet)`. It is the bettor's mirror of minimum defense frequency: the two always sum to 1. Pot...
Baseline Strategy
A baseline strategy gives you a simple, principled starting plan for No-Limit Texas Hold'em. Use it as your default framework for pre-flop ranges, position, and post-flop choice...
Blocker
A blocker is a card you hold that reduces opponent combinations of a strong hand. A range is the set of hands you assign an opponent; a blocker makes some of those hands less li...
Blockers
A blocker is a card you hold that removes combinations from an opponent's possible hands. Card removal means holding a card prevents your opponent from holding that same card, w...
Bluffing Range
A bluffing range is the slice of a betting or raising range made up of the hands you choose to bet so better hands fold. It is a hand set, not a single action — the bluffs that...
Board Coverage
Board coverage describes how well a preflop range can connect with many different flops, turns, and rivers, not the strength of any single hand. A range with good coverage holds...
Calling Range
A calling range is the set of hands you continue with by calling rather than folding or raising. The shape of that range, what it keeps and what it cuts, depends on position, pr...
Capped Range
A range is the set of hands an opponent could hold given their actions. A capped range contains few or no very strong hands, limiting the opponent's maximum possible strength. T...
Card Removal
Blockers are cards in your hand that remove those cards from the deck, reducing opponents' chances of specific hands. A "range" means the set of hands an opponent could reasonab...
Condensed Range
A condensed range is a hand range built around medium-strength, showdown-value hands, with the very strongest hands and pure air both removed. It typically shows up when a playe...
Equity Bucket
An equity bucket is a study and solver grouping that sorts hands in a range by similar equity and strategic role on a specific board. It is not your win percentage, and it is no...
Equity Distribution
Equity distribution is how equity is spread across every hand in a range, not the single average number a calculator returns. Two ranges can sit at the same overall equity and s...
Fold Frequency
Fold frequency is how often a player folds in a specific spot — a particular street, position, bet size, board, and line — not a global character trait. It's the input bluff mat...
Frequency
Frequency is the percentage of times a player takes a specific action (fold, call, raise, or all-in) in a given situation. Tracking frequencies shows how predictable a player is...
GTO (Game Theory Optimal)
GTO play means choosing actions whose frequencies an opponent cannot exploit, drawn from a Nash-equilibrium approximation across your whole range. In short hands it looks like b...
Linear Range
A linear range is a continuous block of your strongest starting hands in rank order. You start at the top of the hand rankings and include hands one after another without big ga...
Merged Range
A merged range mixes strong hands and moderately strong hands when betting or raising. It includes hands that can be called for value, not only the absolute nuts. You use hands...
Minimum Defense Frequency (MDF)
Minimum defense frequency (MDF) is the share of your range you must continue with — call or raise — to keep an opponent from profitably bluffing any two cards. It is the defende...
Mixed Frequency
Mixed frequency is the percentage split a strategy uses when the same hand or range class takes more than one action. If a hand calls 60% of the time and folds 40%, those number...
Mixed Strategy
A mixed strategy means deliberately varying your actions-fold, call, or raise-with specific hands. In poker, a "range" is the set of hands an opponent could hold; mixing stops t...
Nash Equilibrium
A Nash equilibrium is a set of strategies where no player can improve their expected value by changing their own play unilaterally. In poker, this is what books and solvers usua...
Polarized Range
A polarized range in No-Limit Hold'em includes your very strongest hands and your weakest bluffs. It intentionally avoids medium-strength holdings that neither value bet profita...
Randomization
Randomization means deliberately adding chance to decisions so opponents cannot predict you. In poker, it usually means mixing among viable plays to avoid patterns. For example,...
Range
A hand range is the set of possible hole cards a player could hold. You assign a range from their actions, position, and table dynamics. Thinking in ranges means considering gro...
Range Advantage
Range advantage compares the overall strength distribution of one player's possible hands to an opponent's, not your single holding. A range is every hand a player could reasona...
Range Construction
Range construction is the process of deciding which hands belong in each action bucket: bet, raise, call, check, or fold for a given spot. The range is the finished set; constru...
Range vs Range
Range vs range is the habit of comparing two players' entire hand distributions on a specific board, not your one hand against their one hand. Solvers and modern poker thinking...
Removal Effect
The removal effect, or card removal, means your hole cards and board cards reduce opponent hand combinations. A blocker is any card in your hand that removes combinations from t...
Poker solver
A poker solver is a Nash-equilibrium calculator that takes ranges, stack depth, and bet sizes as inputs and outputs a mixed-frequency strategy for both players. It's a study too...
Three-Bet Range
A three-bet range is the set of hands you re-raise with after another player has opened. It's a hand set, not an action, and the shape depends on the opener's seat, your seat, s...
Uncapped Range
A "range" is the set of hands a player could hold in a situation. An uncapped range means prior actions do not rule out the very strongest hands. Premiums are top pairs and bett...
Value Range
A value range is the slice of a betting or raising range built from hands that want worse hands to call. It is the set of hands you bet or raise for value, not the single action...