In chapter 2 of How To Read Hands At No-Limit Hold’em, Ed Miller explains that effective hand reading revolves around assigning and narrowing hand ranges rather than guessing exact two-card holdings.
Hand reading is presented as a structured process of deduction. At the start of a hand, an opponent could hold any two cards. As betting unfolds, each action provides information that allows you to eliminate unlikely holdings and refine the list of plausible ones. That evolving list is called a hand range.
Miller emphasizes that the goal is not to pinpoint a single hand, but to estimate a collection of possible hands and evaluate how likely each category is.
Building a Range Step by Step
The chapter walks through a detailed example involving a small-stakes regular in a $1–$2 live game. The process unfolds across each street:
Preflop
When the regular limps, his range is narrowed from all possible hands to a reasonable subset of medium-strength holdings. Very weak hands are likely folded, and premium hands are likely raised. What remains is a middle band of pairs, suited connectors, suited broadways, and some offsuit combinations.
This initial narrowing reflects assumptions about how a typical regular structures preflop decisions.
Flop
On a coordinated, draw-heavy board, the regular calls a bet. This action further refines the range.
Hands that completely miss the board are likely folded. Continuing hands include:
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Top pair and other made pairs
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Pair-plus-draw combinations
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Straight and flush draws
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Occasionally slow-played strong hands
The range shrinks again, though it still contains a mix of value hands and draws.
Turn
When the turn card changes little and the regular checks behind after the bettor checks, this action becomes highly informative.
Miller argues that strong hands are unlikely to check in this situation, especially in a heads-up pot on a dangerous board. Therefore, two-pair-or-better hands can largely be removed from the range.
What remains are mostly:
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One-pair hands
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Drawing hands
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Medium-strength holdings
This illustrates a key idea: passive action in certain contexts eliminates strong hands.
River
A final card completes a possible straight. After the opponent checks again, the regular makes a substantial bet.
Now the question becomes: how often does the regular actually hold the straight versus bluffing?
By reviewing the previously constructed turn range, Miller counts how many of those remaining hands improved to very strong holdings on the river. Only a minority of combinations qualify.
Before the bet, perhaps roughly one-third of the range was strong. After the bet, that percentage increases because regular-type players generally do not make large river bluffs often enough.
Using both combinatorial math and behavioral principles from Chapter 1, Miller concludes that folding a strong but non-nut hand in this spot can be correct.
The Role of Combinatorics
After demonstrating range construction, Miller introduces hand combinations as the mathematical backbone of range evaluation.
Why Combinations Matter
Different hand categories occur with different frequencies:
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Pocket pairs have six combinations.
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Suited hands have four combinations.
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Offsuit hands have twelve combinations.
Because each specific two-card combination is equally likely, some holdings appear more frequently than others. For example, offsuit ace-king occurs twice as often as pocket aces and three times as often as suited ace-king.
This affects probability calculations within a range.
Board Interaction
Once community cards are revealed, some combinations become impossible.
For example:
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If a card is on the board, it cannot appear in a player’s hand.
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Sets are reduced to three combinations once one of the rank appears on the board.
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The number of possible top-pair combinations depends on how many relevant cards remain unseen.
Miller explains that understanding these adjustments allows you to estimate how often an opponent connects strongly with a given board.
Calculating Probabilities Within a Range
The chapter concludes with a worked example:
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Assign a preflop reraising range.
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Count total possible hand combinations within that range.
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Count how many of those combinations make a strong hand on a specific flop.
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Divide to determine the probability the opponent holds that strength.
This transforms hand reading from vague intuition into quantifiable reasoning.
Chapter Takeaway
Chapter 2 establishes hand ranges as the primary tool of analytical poker thinking. The key lessons are:
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Start with the widest possible range.
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Narrow it logically with each action.
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Use player tendencies to eliminate unlikely holdings.
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Count combinations to determine how often certain hands appear.
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Combine math with behavioral insight to make final decisions.
Miller stresses that while the process may initially seem complex, practice allows players to perform much of this narrowing and estimating quickly and intuitively during real play.