The Bicycle Guide to APPLICATIONS of No-Limit Holdem

1. 1Fix the baseline first: the source assumes 100 big blind starting stacks, a 3.5 bb open (pot-sized in most positions other than the button), and a 3-bet to 10-12 bb. Record your actual effective stack against these numbers before choosing a line.
2. 2Count the streets left and the chips behind. The source ties how many extra bluffs a draw supports to three things: streets left, stack depth, and the draw's equity. Two streets left with a large stack behind favors bets that make strong overcard hands fold. A bet that gets called leaves you facing a bigger pot and a possible raise.
3. 3Check whether position still has value. With only a small amount left to bet, position is worth little. At 100 bb there are enough chips to bet on every street, so position almost always matters. Pay up for position when stacks are deep, and weight it less as stacks shrink.
4. 4Choose preflop holdings by the pot type you expect at this depth, not by raw strength. King-ten offsuit is a better cold call against a wide button open, because it keeps the button's weaker kings and tens in his range. Seven-five suited is better in a 3-bet pot, where you need stronger hands to win and it makes more very strong hands.
5. 5Reduce 3-bet pot decisions to the commitment math. A 3-bet to 10 bb risks 10 to win 5, so it needs to work 66.7% of the time. A 3-bet to 12 bb needs 70.6%. A 20% larger size changes the required defense by only about 4%, so spend your effort on the range, not the exact size.
6. 6Plan how the equity gets realized before you put chips in. Ask which turn cards let you continue (the source counts 22 of them for 9♥8♥, a 46.8% chance), and which cards force a fold even when you improve. Prefer hands that reach the nuts or fold cleanly over hands stuck at 20-25% equity.
7. 7Test each bet on the hand's later streets. Name what a call does to the opponent's turn range, the pot size, and your exposure to a raise with two streets left. Then ask how you keep getting value on most turns and rivers, and whether you can play the larger pot out of position if you must check.
8. 8At 100 bb out of position, decide on a 3-bet response before you open or 3-bet: 4-bet, fold, or call. The source says it is extremely difficult to 5-bet and fold at this depth. If the opponent only 5-bets or folds, a small 4-bet works.

At 100 bb, a button opens wide and you hold K♦T♣ in the big blind. Cold calling keeps the button's weaker kings and tens in his range, and you rarely need a monster by the river to hold the best hand. The same button hand against a 3-bet changes the picture: 3-betting makes most of those weaker kings and tens fold, and your king-ten is now more often dominated by KK, TT, AK, AT, KQ or KJ. Seven-five suited does the opposite. It plays worse as a call because it flops second-best pair too often, but it plays better in a 3-bet pot. Winning requires a stronger hand there, 7-5s makes more very strong hands, and a hit straight or flush draw lets you double barrel the turn and almost always have the best hand. Next, price the aggression. A 3-bet to 10 bb over a 3.5 bb open risks 10 to win 5, so it needs the opener to fold 66.7% of the time. A 3-bet to 12 bb needs 70.6%. The extra 2 bb moves the defense requirement by about 4%, so choosing between 10 and 12 matters far less than choosing the right hands to continue with.

• If you are in position and stacks are around 100 bb, then treat position as a major asset: see more flops in position and fewer out of position. If only a small amount can be bet, then discount position.
• If the pot is raised-only against a wide opener, then prefer hands like king-ten offsuit as calls that keep worse hands in. If the pot will be 3-bet, then prefer hands like seven-five suited that make very strong hands and strong draws.
• If two streets remain, stacks are deep, and the opponent is in position, then count making him fold two-overcard hands with about 24% equity as a real gain. Count the costs too: a stronger turn range, a bigger pot, and exposure to a raise.
• If you hold a draw, then treat it as a value bet when it hits and a bluff when it misses. Bluff approximately one combo per 2.3 nut flush draws raised, and let streets left, stack depth and equity adjust the number.
• If your equity is 33.3% facing a $100 bet into a $50 pot, then fold, because the call needs 40%. Prefer hands that are either very strong or fold cleanly over hands stuck at medium equity.

• Ranking hands by raw strength or equity regardless of pot type. The tell: you 3-bet king-ten offsuit for fold equity and then find it dominated when called, or fold seven-five suited when it would play well in the 3-bet pot.
• Calling a bet as a 'value bet' without looking past the flop. The tell: you bet top pair, get called, then check the turn and face a big pot out of position against a strong range.
• Assuming position is always valuable. The tell: you call in position with a hand that cannot be bet or played profitably once stacks are shallow, since position has little value when only a small amount can be bet.
• Following 'don't flat 3-bets out of position, just 4-bet or fold' as theory. The tell: your 3-bet and 4-bet ranges become transparent and an opponent who flats 4-bets in position exploits you, since you can no longer destroy his positional advantage.
• Calling with a hand that has the equity but not the plan. The tell: you call the flop with a small pocket pair for its roughly 10% to make a set, then fold to any turn bet and never see the river you called for.

• ▸Effective stack (bb): enter the smaller of the two stacks in big blinds, and note whether it is near the 100 bb baseline.
• ▸Pot type: raised-only or 3-bet. This decides which hand types play well.
• ▸Position: in or out of position, and how much of the stack can still be bet. Little stack behind means little value in position.
• ▸Streets left and stack-to-pot ratio: write how many streets remain and roughly how big the pot is relative to what is behind.
• ▸Hand and plan: name the hand and what it needs (top pair, nuts, draw outs). Do not rely on equity alone.
• ▸Continue cards: list the turn cards you continue on and the count (for example 22 of the remaining cards, 46.8%). If you cannot name them, flag the hand.
• ▸Required equity: compute call ÷ (pot + call) for any all-in or large bet. Fold if your hand's equity falls short, as 33.3% does against 40% needed.
• ▸Raise or bluff budget: write value combos and bluff combos (draws need about 2.3 raised per bluff for the nut flush draw), and note what streets left and stack depth do to that count.
• ▸Commitment check: write what happens if you are raised or 5-bet. Plan to call, fold or jam before you bet.

1. 1Count the players still to act behind the raiser. This is N. Everything below depends on it, because every one of those players can 3-bet the same open.
2. 2Fix the total budget. The source says that if the opponents' combined 3-bet frequency reaches 30 percent or more, opening a hand that must fold to a 3-bet is unprofitable. Treat 30 percent as the ceiling for the combined 3-bet frequency.
3. 3Convert the budget into a per-player cap with the product method: (1 − x)^N = 0.70, so x = 1 − 0.70^(1/N). Do not divide 30 by N. The division gives a close estimate (6 percent for N = 5) but ignores that two or more players can hold a hand that 3-bets the same open.
4. 4Use the cap to size your own 3-betting range from each position. The source starts by assuming every remaining player 3-bets at the same frequency, then relaxes that assumption in its final chart. The more players left to act, the lower each cap, so UTG ranges are tighter than late-position ranges.
5. 5Set your fold-to-4-bet share from your own 3-bet frequency. The source says a 3-betting range cannot fold more than 40 to 46 percent of itself to most 4-bets. That means 40 to 46 percent of the range must be ready to play a 4-bet pot or 5-bet jam, and 54 to 60 percent folds. Multiply your 3-bet frequency by the continue share to get the share of all hands you defend against a 4-bet.
6. 6Check the raiser's side with the same logic. An opener who never flats must 4-bet around 25 to 30 percent of his range, a number the source says is lower than it would otherwise be because players left to act help defend. He then calls a 5-bet 50 to 60 percent of the time. At 27.5 percent and 55 percent, about 15.2 percent of his opening range gets felted.
7. 7Choose hands for the resulting range by how they play in 3-bet pots. The source says stronger hands are needed to win at showdown in 3-bet pots, and suited connected holdings such as seven-five suited make more very strong hands than king-ten offsuit. Offsuit broadway-type hands are more often dominated. Favor hands that make the nuts or near-nuts.

UTG opens and five players remain to act. The ceiling is 30 percent combined 3-betting. The naive answer is 30 / 5 = 6 percent each, which is slightly low. The correct method multiplies the chance that each player does not 3-bet: 0.70^(1/5) ≈ 0.931, so each player can 3-bet at most 6.9 percent. Because the 3-bet range can fold at most 54 to 60 percent of itself to a 4-bet, it continues about 40 percent of the time. 6.9 × 0.40 = 2.76 percent of all hands defend against the 4-bet, which is the figure the source gives. Applying the same method to other seats (my arithmetic, not a chart from the source): with 3 players left the cap is about 11.2 percent each, and with 2 left (button open, blinds) it is about 16.3 percent each. The pot being 3-bet by any one of five players is the reason the cap is so low.

• If five players remain to act, then cap each player's 3-bet frequency near 6.9 percent. If only two remain, the same 30 percent budget allows roughly 16 percent each.
• If you open a hand that folds to a 3-bet and the combined 3-betting behind you is 30 percent or more, then drop that hand from your opening range.
• If the pot is 3-bet, then prefer hands that make strong hands and the nuts (suited connected hands) over offsuit hands that get dominated by KK, TT, AK, AT, KQ or KJ.
• If you are the opener and no one behind you flats, then plan to 4-bet about 25 to 30 percent and call 5-bets 50 to 60 percent, which means about 15.2 percent of your range is committed. Hold at least that much against opponents who never flat 3-bets.
• If you add up the 3-bet frequencies of several opponents and the sum feels close to 30 percent, then compute the product of the non-3-bet odds instead, because simple addition overstates the total when their hands overlap.

• Dividing 30 percent by N and treating it as exact. The tell is a per-player cap that is too tight (6 percent where 6.9 is correct) and a range built from a figure that does not hold up.
• Copying a heads-up 3-bet range into a spot with many players left to act. The tell is that every seat 3-bets QQ+/AK against an UTG open, so UTG is over-3-bet and has to stop opening the hands it would fold.
• Ignoring that players behind share the defending burden. The tell is an opener who 4-bets far more than 25 to 30 percent of his range when others are still to act.
• Choosing 3-bet-pot hands for raw high-card strength. The tell is that offsuit holdings like king-ten make second-best pairs and get dominated, while suited hands that make the nuts do better.
• Defending too little against an opponent who never flats. The tell is that you fold more than the 15.2 percent of his opening range that he felts, so ace-rag suited and pocket pairs become profitable bluffs for him.

• ▸Opener's seat: record who opened and from where.
• ▸N (players left to act): count the opponents still behind the raiser.
• ▸Combined 3-bet ceiling: enter 30 percent unless you have a better estimate.
• ▸Per-player cap x: compute 1 − 0.70^(1/N) and write the percentage.
• ▸Continue share vs 4-bet: pick 40 to 46 percent for the share of your 3-bet range that stays in.
• ▸Defend-vs-4-bet % of all hands: multiply x by the continue share.
• ▸Opener's 4-bet % and 5-bet-call %: enter 25 to 30 percent and 50 to 60 percent.
• ▸Share of opening range felted: multiply those two numbers (about 15.2 percent at the midpoints).
• ▸Hand-choice note: list candidate hands and mark which make the nuts versus which are dominated.

1. 1Define the opponent's two ranges that matter: the range that bets for value and the range that check-calls multiple streets. Equity against hands that fold by the river does not count toward the hand's real strength.
2. 2Take the raw equity number from software and discount it. Ask what share of that equity comes from beating hands that check-fold or fold to a bet. That share is mostly never realized.
3. 3Test the hand's showdown path. If it makes ace high or a weak pair, ask whether you can check three streets to showdown. Ace high with no kicker is usually too weak for that. When you bet it, only better hands call, so the equity vanishes.
4. 4Test the hand's improvement path. Count which flops produce a flush draw, straight draw, or a pair with five outs, because these can become strong hands that beat the opponent's value-betting and check-calling ranges.
5. 5Check whether your outs stay live once the opponent continues. If he check-calls your turn bet, a draw's outs are almost certainly live. Weak hands in a similar spot have nothing to improve to.
6. 6Check bluff efficiency. If you must give up the hand and bluff instead, ask whether the bluff makes better hands fold. Suited connectors do, so little equity is wasted.
7. 7Apply hand signaling. Ask whether the flop tells you exactly what you need to win and whether you can call to see a turn. If the hand only beats bluffs and has too few outs to justify a call, as with a weak pocket pair that sets up about 10 percent of the time, fold when he bets.
8. 8Place the hand by pot type. Equity retention changes between a raised-only pot and a 3-bet pot, so re-run steps 1-7 for the specific preflop action and position before assigning the hand to a call or a semi-bluff raise.

You are on the button against a middle-position open. Compare A♠9♦ with 9♥8♥. Software shows A9o with plenty of equity, but much of it is against the opponent's check-folding range. Ace high with no kicker is too weak to check down on three streets. When you bet it, all worse hands fold, so the equity is never realized. On the flop it almost never beats his value-betting range and rarely improves when behind. When you pair and he checks, he is unlikely to check-call multiple streets with worse. Nine-eight suited rarely flops a hand that beats his value range, but it often flops a flush draw, a straight draw, or a pair with five outs, which can become strong hands. If it misses, you can semi-bluff the turn or river after a check, and if he check-calls, your outs are live. When you do bluff, he folds better hands, so little equity is wasted. This is why 9♥8♥ is the better call despite the equity figures.

• If a hand's equity comes mostly from beating hands that fold by the river, then discount it heavily and prefer a hand that can reach the nuts.
• If the hand can improve to a strong made hand or draw that beats the opponent's value-betting and check-calling ranges, then prefer it over a weak-kicker ace-high hand.
• If the hand cannot check down three streets and only worse hands fold to a bet, then fold preflop rather than call and hope to realize equity.
• If the pot is a raised-only pot against a wide range, then hands making good marginal pairs, such as suited K-T, Q-T, Q-J and K-9, retain equity; in a 3-bet pot, hands with nut potential, such as suited connectors, retain more.
• If a weak pocket pair faces a flop bet and has too few outs to justify a call, then fold, since a roughly 10 percent chance of a set does not justify investing more chips.

• Ranking hands by raw equity alone. The tell: you call with ace-nine offsuit because the software shows it ahead of suited connectors.
• Counting equity against check-folding hands as if it were realizable. The tell: your bets with weak aces only get folds from worse and calls from better.
• Calling with weak pocket pairs hoping to hit a set. The tell: you call a flop bet and fold when the set misses, having paid for roughly a 10 percent chance.
• Treating a hand's value as fixed across pot types. The tell: you call 3-bets with K-T offsuit-type hands that make top pair with a mediocre kicker, or you flat 7-5 suited in raised pots where it often makes second-best pairs.
• Ignoring whether a draw's outs are live after a call. The tell: you stack draws without checking if your outs would make the best hand.

• ▸Hand and position: write the hand, your seat, and the opponent's opening seat.
• ▸Pot type: raised-only or 3-bet pot.
• ▸Equity vs. full range: the raw software figure.
• ▸Share vs. folding range: estimate how much of that equity comes from hands that check-fold or fold by the river.
• ▸Showdown path: can the hand check down three streets? Yes or no, with the reason.
• ▸Improvement path: list flops that give flush draw, straight draw, or a five-out pair.
• ▸Nut potential: does the hand reach hands that beat his value-bet and check-call ranges? Yes or no.
• ▸Bluff efficiency: when bluffing, do better hands fold? Yes or no.
• ▸Decision: call, 3-bet bluff, or fold, with the main reason.

1. 1Identify the node: the river bet where your opponent holds mostly bluff catchers, hands that beat your bluffs and lose to your value bets. Indifference is built here, because he is choosing between a call and a fold that are close in EV.
2. 2Compute his break-even equity from the bet size. Risk divided by (pot + bet + risk), or equivalently risk to win pot-plus-bet. Passage example: $30 bet into $50 pot means he risks $30 to win $80, so he needs 27.3%. A pot-sized bet means he risks 1 to win 2, so he needs 33.3%.
3. 3Convert his break-even into your bluff share. His call wins exactly when you bluff, so your betting range should contain bluffs equal to his required equity. At pot-sized bets that is 1 bluff per 2 value bets. At $30 into $50 it is 27.3%, about 3 bluffs per 8 value bets (our arithmetic from the 27.3% figure).
4. 4Sort your range by strength. Passage structure: value bet king-queen and better, bluff the hands worse than a pair of nines, and treat the stretch in between as hands that check. Count combos in each bucket and compare against the target ratio.
5. 5Fix the skew by moving the borderline hand. Too many bluffs means he always calls. Too few means he folds every bluff catcher. Either one lets him play his bluff catchers correctly. Cut bluffs or add value hands until the count matches.
6. 6Check your own bluff economics for the same bet. A $30 bluff into $50 needs to work 37.5%. Any bluff you add must still be viable against the defending frequency he will actually use.
7. 7Use the preflop frequency anchors as skew checks. 4-bet bluffs need folds about 54-60%, and 5-bet bluffs 40-50%. Openers 4-bet 25-30% of the time if they never flat. 3-bet ranges that never flat a 4-bet jam 40-46%. 4-bet ranges call 50-60% of the time versus a jam. These do not name the hands, but they show whether a range leans too far toward value or toward bluffs.
8. 8Do the mirror-image step when defending. Your calls must keep him indifferent to bluffing, and your calling set should be the bluff catchers with the best removal. Passage example: K♥J♣ blocks some top-pair combos, so it should usually call.
9. 9Before applying this to a real opponent, check his type. Against very tight or timid players who rarely bluff, the theoretical calling frequency loses money (see decision rules).

The passage example is a river with a pot-sized bet (PSB). You value bet king-queen and better and bluff every hand worse than a pair of nines, using the same PSB. Your opponent risks one PSB to win two, so he needs to win 33.3% when he calls. Ignoring card removal, two value bets for every one bluff gives him exactly that. Take 3 bets: 2 value and 1 bluff. In pot units his call wins 2 once, when you bluff, and loses 1 twice, when you have value, so the EV is (1/3)(2) − (2/3)(1) = 0. Every bluff catcher between king-queen and seven-x is now a coin flip between calling and folding, with both choices at zero EV. If you add a second bluff for the same 2 value bets, calling shows profit and he calls everything. If you drop the bluff entirely, he folds every bluff catcher. He should still call with the bluff catchers that have the best removal, such as K♥J♣, which blocks some of your top-pair combos.

• If the bet is pot-sized on the river, then target about 2 value bets per 1 bluff. If it is $30 into $50, target about 8 value to 3 bluffs, since he needs 27.3%.
• If you hold more bluffs than the ratio allows, then convert the weakest ones to checks. If you hold fewer, then add the next-best bluffs only if they still block or lose to nothing he calls with.
• If you are defending as a bluff catcher, then call first with the hands that block his value combos (K♥J♣ type) and fold the hands with the worst removal.
• If your opponent never flats a 3-bet, then defend at least 15.2% of his opening range (27.5% 4-bet × 55% call of 5-bet), or his bluffs with ace-rag suited and pocket pairs show a profit.
• If your opponent is very tight or timid, or you think he is a big favorite to have a monster when he bets, then fold bluff catchers nearly always. Do not fold literally always, since that may teach him to bluff more.

• Applying the equilibrium calling frequency to non-experts. The tell is calling about half your range to pot bets against a tight player and losing money at showdown.
• Using the wrong ratio and assuming it is close enough. The tell is that opponents always call or always fold your river bets, meaning they have found the correct response.
• Ignoring card removal when selecting bluff catchers or bluffs. The tell is calling or bluffing with hands that unblock his value combos when a blocker was available.
• Binary thinking about flop and turn bets as pure value or pure bluff. The tell is that you cannot classify your bet, though the passage notes the best line often has both properties.
• Treating the preflop frequencies as hand lists. The tell is building a range from the percentages alone. They only test skew and do not say which hands to play.

• ▸Pot size and bet size: record both so you can compute the caller's risk-to-win.
• ▸Opponent break-even %: risk ÷ (pot + bet + risk), e.g. 27.3% or 33.3%.
• ▸Target bluff share of betting range: set equal to his break-even %.
• ▸Value combos: count the hands you bet for value (e.g. king-queen and better).
• ▸Bluff combos: count the hands you bet as bluffs (e.g. worse than a pair of nines).
• ▸Actual bluff share: bluffs ÷ (value + bluffs).
• ▸Skew verdict: over target means he calls everything, under means he folds everything; note the adjustment.
• ▸Opponent type: tight/timid, normal, or strong, and whether to deviate from the theoretical call or fold frequency.
• ▸Defending set: list bluff catchers by removal quality, best-blocking hands first.

1. 1Separate raw equity from realizable equity. Raw equity is the share of the pot a hand wins against a range at showdown. Realizable equity is the share you collect once opponents fold, bet, and check. Ask 'against which part of his range do I hold this equity?' before you play any hand on raw equity alone.
2. 2Split the opponent's range into three buckets: value-betting hands, check-calling hands, and check-folding hands. Equity against the check-folding bucket is mostly unrealizable. When you bet, those hands fold, so you win only the pot you were already winning. When you check, you must win at showdown against a range that includes real hands.
3. 3Score each candidate hand on what it does against the top two buckets. Ask whether it can beat his value-betting and check-calling hands after the flop. Ace-nine offsuit rarely beats flop value bets and seldom improves when behind. Nine-eight suited flops flush draws, straight draws, and five-out pairs that can beat those hands.
4. 4Check whether the hand can use its equity efficiently when it misses. A draw can semi-bluff the turn or river when he checks. If he check-calls, the outs stay live. A hand with no pair and no outs does neither, so its equity goes unused.
5. 5Apply the hand-signaling test on the flop. Ask whether the board tells you exactly what you need and whether you can call to see another card. Suited connectors with a pair, straight draw, flush draw, or combined draws usually can. If you fold when you miss, you lose little, because you would rarely have outdrawn him on the river.
6. 6Reject hands that need a lucky card but cannot call a bet to get it. A pocket pair makes a set by the river about 10 percent of the time, but facing a flop bet it has too few outs to justify a call. Its equity is real on paper and unrealizable in practice.
7. 7Adjust for position and bet sizing last. Position lets you check back, take free cards, and choose when to semi-bluff, so you realize more. Out of position, he can deny you cards with a bet. When you bluff, remember that a bluff needs to work a fixed share of the time (37.5 percent for a $30 bet into $50), so equity matters mainly when the bluff fails.

A reasonable player opens in middle position and you hold the button. Compare ace-nine offsuit with nine-eight suited. Software gives ace-nine more raw equity against his range. It still plays worse. Ace-high with no kicker is too weak to check down on three streets, and when you bet it, every worse hand folds, so its equity is never realized. On the flop it almost never beats his value bets and rarely improves when behind. When you do pair and he checks, he rarely check-calls multiple streets with worse. Nine-eight suited usually misses the strong hands he value bets, but it often flops a flush draw, a straight draw, or a five-out pair. Those hands can become strong enough to beat his value-betting and check-calling hands. When it flops a draw it can semi-bluff the turn or river if he checks, and if he check-calls the turn bet, the outs are almost certainly live. When it bluffs, it makes better hands fold, so little equity is wasted. The same logic separates 6♦6♠ from 9♥8♥ on a flop where both have about 10 percent equity against top pair: the suited connector can call and keep drawing, while the pair has to fold to a bet.

• If a hand's equity comes mostly from beating hands that fold to a bet or check-fold anyway, then discount that equity heavily and prefer a hand that beats his betting and calling range.
• If the hand cannot beat any of his value bets and cannot improve when behind, then it is a fold on the flop regardless of its software equity.
• If you flop a draw and he checks, then semi-bluff the turn or river. If he check-calls, treat your outs as live.
• If you hold a weak pocket pair facing a flop bet, then fold. The roughly 10 percent chance of making a set does not justify calling.
• If you miss and the hand signals that you only continue with real equity, then fold the flop or turn without regret. You would rarely have outdrawn him on the river.

• Ranking hands by raw equity from software. The tell is that you call preflop with hands like ace-nine offsuit because they 'have equity' and then check-fold or bet-fold the flop.
• Counting equity against hands that fold. The tell is that your winning hands win small pots while your losing hands lose big ones, because you can only get paid by better hands.
• Calling flop bets with weak pairs 'to hit a set.' The tell is that you invest chips on the flop and turn to see a roughly 10 percent card, and rarely recoup the cost.
• Treating all draws as interchangeable. The tell is that you ignore whether a draw has a pair, a gutshot, or backup outs, and so misjudge which hands can profitably call or bluff.
• Ignoring the opponent's range type. The tell is that you assume the same realization against tight, timid players as against ones who bluff, and so make bluff-catching calls that only lose money.

• ▸Hand and position: your hole cards and whether you act in or out of position.
• ▸Raw equity vs. range: the equity software gives your hand against his range.
• ▸Check-fold share: the portion of his range that checks and folds. Equity you hold against it is mostly unrealizable.
• ▸Beats value or check-call range?: whether the hand can beat his value bets or check-calls after the flop, yes or no.
• ▸Improves when behind?: whether the hand has outs or draws that can become the best hand.
• ▸Semi-bluff and live-outs plan: how you would use turn and river checks, and whether your outs stay live if he check-calls.
• ▸Hand-signaling result: whether the flop tells you what you need and whether you can call to see another card.
• ▸Pot-odds check for bluffs: the bet and pot size, and the break-even bluff success rate (for example $30 into $50 needs 37.5 percent).
• ▸Verdict: play, fold, or bluff, with a one-line reason tied to realizable equity.

1. 1Define the test. Your strategy is non-exploitable to the degree an opponent who bets all his hands shows no profit. Pick one spot (for example, facing a pot-sized river bet) and write that test at the top of the page before you do any math.
2. 2Name your bluff catchers. List the hands in your range that beat only a bluff and lose to a legitimate value bet. These hands carry the defense, because stopping a constant bluffer requires many calls with mediocre hands.
3. 3Set the calling quota. Against a pot-sized bet, the source says you should theoretically call with about half your hands, including many weak ones. Count your range, mark the top half as continues, and fold the rest.
4. 4Check the balance from the bettor's side. A balanced river betting range holds the right ratio of value bets to bluffs, so a bluff catcher's call and fold both have an EV of about 0. If you can name a clearly profitable call or fold, the range is unbalanced. Fix the ratio.
5. 5Price your own bluffs with fold-frequency targets. Each bluff must work often enough to break even: 3-bet bluffs need folds about 67-70% of the time, 4-bet about 54-60%, and 5-bet about 40-50%. Compute the specific break-even rather than quoting the band (see the worked example).
6. 6Audit range shape after check-calls. Repeated check-calls on a board that makes strong hands risky leave a condensed range with few strong and few weak hands. Opponents can bet large against that range because their value hands cannot be beaten. Reinsert some slowplayed strong hands so the calling range keeps a top end.
7. 7Run the exception check last. Balance is calibrated for strong opponents. Against a very tight or timid player who is a big favorite to hold a monster when he bets, bluff-catching calls lose money. Fold almost always, but not literally always, because that can teach him to change his behavior.

Take the source's 5-bet bluff from a 100 big blind stack. The 3-bettor has already put in about 11 big blinds, so jamming risks about 89 more. When called, the final pot is 201.5 big blinds, which is a bit over 2 big blinds back per 1% of equity. With a hand holding 31% equity when called, the expectation is 62.5 big blinds when the opponent calls. Since the bluffer has invested 89 to get there, that is an overall result of -26.5 big blinds. When the opponent folds, the bluffer wins on average 36.5 big blinds (1.5 in blinds, 11 for the 3-bet, 24 for the 4-bet). Break-even folding frequency p solves 36.5p - 26.5(1 - p) = 0, so p = 26.5/63, about 42%. The source confirms it: this bluff must work more than 42% of the time. Non-exploitability means your opponent's 5-bet folding frequency, which he controls, can't go much below that. If it does, your bluff is profitable, and the same holds in reverse for him.

• If a continue-or-fold choice faces a pot-sized bet and you have only a bluff catcher, then call as part of a range that defends about half your hands, not on a read of the individual hand.
• If your bluff's break-even fold frequency (computed from the actual pot and stack sizes) is below what your opponent actually folds, then bluff; if it is above, then drop the bluff or swap in a higher-equity hand.
• If your check-calling range has few or no strong hands on a board where raising strong hands is the default, then slowplay some strong hands so opponents cannot bet or overbet freely.
• If the opponent is very tight or timid and his bet was already likely to be a monster, then fold bluff catchers almost always, and fold less than 100% so you do not teach him to change.
• If you compare lines by equity alone, then stop: equity is not EV, and a fold has an EV of zero with prior money counted as dead, so compare EVs instead.

• Over-folding bluff catchers because you fear the bet. The tell: any opponent could profit by betting all his hands against you, and you cannot name the hands you are defending with.
• Applying equilibrium defense against tight or timid opponents. The tell: you call bets that were already likely monsters and lose money. You also stay unbalanced the other way when you mistake a ritual call for theory.
• Using the bands (67-70%, 54-60%, 40-50%) as exact numbers. The tell: you skip computing from actual stacks and sizings, though the source says the precise percentage depends on equity versus the calling range and on the open, 3-bet, and 4-bet sizes.
• Letting the check-calling range condense. The tell: you always raise your strongest and weakest hands, and opponents fire large bets at your calls because their value hands cannot be beaten.
• Multiplying equity by pot size to get EV. The tell: a 90% set in an 8 big blind pot is valued at 7.2 big blinds, though the true EV is higher because you will bet and raise, so your balance work starts from the wrong numbers.

• ▸Spot: street, position, pot size, opponent bet size.
• ▸Opponent's all-bets test: if he bets every hand here, does he profit? (Y/N, with reason)
• ▸Bluff-catcher list: hands that beat only bluffs.
• ▸Defend quota: target calling share of range (about half vs a pot bet) and the actual share.
• ▸Own bluff break-even: break-even fold % from the actual pot and amount risked.
• ▸Opponent's observed fold %: against the break-even above, is the bluff profitable?
• ▸Range shape after prior actions: polarized, condensed, or neither, and why.
• ▸Slowplay or top-end hands kept in the calling range: list them.
• ▸Opponent type exception: tight or timid? If so, the revised fold frequency (not 100%).

1. 1Set the decision point. Treat every chip already in the pot as dead money. Folding now is exactly 0 EV, so every other line is judged against 0, not against what you have lost on the hand so far.
2. 2Write the line as branches, not as equity × pot. Equity × pot works only when everyone is already all in. Before that point, list each branch (opponent folds, calls, jams), its frequency, and what you win or lose in it.
3. 3Price each branch in a common unit (big blinds). A fold branch is the dead-money gain. A called-all-in branch is (equity × final pot) minus the chips you put in. Multiply each branch by its frequency and sum them.
4. 4Compare against the right baseline. Fold = 0. For a 4-bet facing a 3-bet, the baseline is the loss from folding to the 3-bet (3.5 BB in the source). A 4-bet that intends to call a 5-bet jam is correct whenever its total EV beats -3.5 BB, even if it is negative.
5. 5When the draw is the question, solve for the break-even payoff. Set 0 = (miss frequency × amount lost) + (hit frequency × X) and solve for X. Then ask whether the river action can plausibly deliver X. The implied-odds question is whether the opponent pays that much, not whether the draw hits.
6. 6Use equity as a sorting tool, not as the answer. Where you cannot predict the rest of the betting, use equity against the opponent's betting and calling range to sort hands into calls, value raises, bluff raises and folds. Discount equity that sits only against hands that fold by the river.
7. 7Check the edge of the range. The worst hand you play should sit close to 0 EV. If you play it 100% and its EV turns negative, you are overplaying it. Mixing it (for example opening 6-5s UTG about 75% of the time) is the way to keep it near 0.
8. 8Update against the opponent. The optimal line is the most +EV line against an optimal opponent. Against a weak one, a more profitable exploitative line often exists, so recompute branch frequencies from what he actually does.

You 4-bet and face a 5-bet jam. Folding to the 3-bet would lose 3.5 BB, so that is the baseline. In the source's example the opponent jams 40% of the time, and you call with 45% equity in a 201.5 BB pot. That branch is 0.45 × 201.5 = 90.675 BB returned, against the roughly 100 BB you put in (implied by the source's -9.325 figure). That is -9.325 BB, and it occurs 40% of the time. The other 60% of the time he folds and you profit 7.5 BB. The total is 0.4 × (-9.325) + 0.6 × 7.5 = -3.73 + 4.5 = +0.77 BB. The call is negative on its own branch, yet the 4-bet is +EV overall. The source's tables vs a 1.5% jam range show the same logic by hand. KK (42.8% equity) is +2.0 BB and AKs (41.5%) is +1.0. AKo (37.4%) at -2.4 BB still beats the -3.5 BB fold baseline, while AQs (34.8%) at -4.4 BB does not.

• If every player is all in, then EV = equity × final pot minus your chips invested. If anyone can still bet, then EV is not equity × pot: build the branch tree, and expect a strong hand's EV to exceed the naive figure (a set with 90% equity in an 8 BB pot is worth more than 7.2 BB).
• If a hand's EV is below 0 but above the EV of the alternative line (for example above -3.5 BB versus folding to a 3-bet), then take the line, because the baseline is the alternative, not zero.
• If the call price needs X% equity (for example 40% facing $100 into $50) and your hand has less (33.3%), then fold, unless real implied odds close the gap.
• If a draw's required river win (X) is larger than what the opponent can plausibly pay, then do not just check-call. Compare check-raising or betting, since draws with 8 to 11 outs often make the best bluffs.
• If a hand's equity comes mostly against a range that folds by the river (ace-nine offsuit versus a check-folding range), then discount it. A hand that makes strong holdings or semi-bluffs profitably, like nine-eight suited, outperforms it at the same raw equity.

• Equating equity with EV. Tell: you compute 'equity × pot' for a hand where chips can still go in, and you undervalue strong hands and mis-rank speculative ones.
• Counting sunk money as a loss. Tell: you call or shove because you have already put in a lot, instead of comparing the remaining lines against a 0 EV fold.
• Comparing a line only to 0. Tell: you reject a -2.4 BB 4-bet-call line while accepting a -3.5 BB fold to a 3-bet. Both are losses, and you took the larger one.
• Trusting raw equity from software without checking realization. Tell: you play hands like ace-nine offsuit because they have big equity against the range, but your bets only fold out worse hands.
• Forcing the range edge to be profitable. Tell: you open the weakest hand 100% of the time and its EV turns negative, because you are exposed to reraises and bad early-position spots.

• ▸Decision point and street: state where you are, so all prior chips count as dead money.
• ▸Baseline line and its EV: usually fold (0) or the fold-to-3-bet loss (-3.5 BB).
• ▸Candidate line: bet, raise, call, 4-bet, or check-call.
• ▸Branch list: opponent folds, calls, or jams, each with a frequency (frequencies sum to 100%).
• ▸Chips won or lost per branch: for fold branches, the dead-money gain; for all-in branches, (equity × final pot) minus chips invested.
• ▸Weighted total: sum of frequency × result across branches.
• ▸Break-even payoff X (draws): solve 0 = (miss % × loss) + (hit % × X), then note the extra river win needed.
• ▸Equity realization check: does your equity sit against hands that fold by the river? Mark discount if yes.
• ▸Verdict: EV of candidate minus EV of baseline; take the larger.

1. 1Start from the bluff's break-even point, not from a feel for the pot. A bet of B into a pot of 1 (in pot-sized bets, PSB) must work B/(B+1) of the time. Your opponent must therefore continue 1/(B+1) of the time to stop any two cards from bluffing profitably. Compute this before you pick a size.
2. 2Convert the defense frequency into the money he actually risks: continue frequency × bet size. On the river this is at least 0.334 PSB for a 0.5 PSB bet, 0.5 PSB for a 1 PSB bet, and 0.668 PSB for a 2 PSB bet. Larger bets take more money from a defender who stays unexploitable.
3. 3Price the cost of the larger size in range terms. A bigger bet leaves his continuing range much stronger, so you fold out less of his medium hands. Ask what part of his range the size is designed to target, and pick the size that matches the hands you want to fold out or get called by.
4. 4Assign hands to the size by role. A river bet is polarized: strong hands for value and missed draws as bluffs, with no hands like Q♥J♥ that neither fold out better hands nor draw calls from worse. Choose the size first, then fill it with value and bluffs in the ratio that size requires.
5. 5On earlier streets, treat a bet as a package of consequences, not a 'value bet'. It makes his turn range stronger, makes the pot bigger, and risks a raise with streets left. Before betting the flop, ask whether you can keep getting value on most turn and river cards, or whether you will be checking out of position into a strong range.
6. 6Preflop, size from the risk-to-reward ratio. Open to 3.5 BB, 3-bet to 10 BB: you risk 10 to win 5 (the open plus the blinds), so it needs to work 66.7% of the time. At 12 BB it needs 70.6%. Account for players still to act: the opener's required defense is the total required defense, adjusted for the others' cold 4-bets and folds.
7. 7Size by position. In position, use smaller 3-bets to invite calls and a flop. Out of position, use larger 3-bets, since they cut how much the opener must defend. Against a 3.5 BB open, a total defense of 27–31% is the working target.
8. 8Adjust for the opponent. If he folds too often, win small pots constantly and refuse to put in big money without near-nut hands. Against a strong opponent, stay with ranges and sizes that give no clear exploit.

You compare three river bets with the same pot. At 0.5 PSB, a defender must continue 66.7% to keep any-two-cards bluffs from profiting, so he puts in at least 0.334 PSB on average. At 1 PSB he continues 50% and puts in 0.5 PSB. At 2 PSB he continues 33.4% and puts in at least 0.668 PSB. The larger bet takes more money but makes his continuing range much stronger, so it is only right if your range can credibly contain the hands that size needs. The same math holds preflop. The cutoff opens to 3.5 BB and the button 3-bets to 10 BB, risking 10 to win 5, so it needs 66.7% folds and the others must defend at least 33.3% combined. If each blind 4-bets cold 3% and otherwise folds, the opener must defend X where (1 – X)(0.97)(0.97) = 0.667, so X ≈ 29.1%. Raising the 3-bet to 12 BB lifts the required fold rate only to 70.6%, a 4-point change from a 20% size increase.

• If you want the opponent to put the most money in on average, then go larger. His minimum average contribution rises from 0.334 to 0.5 to 0.668 PSB as you move from 0.5 to 1 to 2 PSB.
• If a larger size would make his continuing range too strong for your hand to profit, then drop to a smaller size. Small bets force him to call often, and big bets force him to call rarely but for more.
• If your opponent's range is condensed after repeated check-calls on a board where strong hands would have raised, then bet larger, since his hands are capped.
• If your own range is condensed (you raise all strong and weak hands and call with the middle), then slowplay some strong hands to stop him from bet-sizing against you freely.
• If the opponent folds too much, then bet small and often. Put big money in only with near-nut hands.

• Calling every early-street bet a 'value bet'. The tell is that you bet the flop, then check the turn and play a big pot out of position against a strong range.
• Chasing the exact perfect size. The tell is spending effort on small preflop size changes: a 20% larger 3-bet moves the defense needed by only about 4%, so range construction matters more.
• Ignoring players yet to act when working out preflop defense. The tell is that you demand 33.3% defense from the opener alone when the blinds also fold or 4-bet.
• Using the same size and the same hand types in every spot. The tell is that your large bets are always your strongest hands, which makes your range transparent.
• Equating equity with EV when sizing value bets. The tell is that you value a set with 90% equity in an 8 BB pot at 7.2 BB and bet too little, when the real EV is higher because you bet and get called.

• ▸Street and position: note the street and whether you are in or out of position.
• ▸Pot size before the bet: record it so the bet can be expressed in PSB.
• ▸Proposed bet size (in PSB or BB): state the amount you plan to bet.
• ▸Bluff break-even fold %: bet / (bet + pot).
• ▸Required opponent continue %: 1 minus the fold %. Subtract other players' cold 4-bet or defend share if there are any.
• ▸Average money he puts in (PSB): continue % × bet size.
• ▸Range shape: polarized, condensed, or neither. Name the hand types in your bet and in your check.
• ▸Strength of his continuing range at this size: mark whether it is much stronger than at a smaller size.
• ▸Consequences checklist (earlier streets): turn range stronger, bigger pot, risk of a raise, and whether you can continue on the turn and river.

1. 1Fix the bet size first, because the size sets the ratio. Compute the caller's break-even: risk ÷ (pot + risk). A $30 bet into a $50 pot makes the caller need 27.3% (risking $30 to win $80). A pot-sized bet makes him need 33.3% (risking 1 PSB to win 2 PSB).
2. 2Convert that break-even into a value-to-bluff ratio. At a pot-sized bet the caller needs 33.3%, so you want two value bets for every one bluff. That makes him indifferent to calling with bluff catchers.
3. 3Sort your river range into three buckets: value hands that are called by worse, bluff catchers and medium hands that should check, and bluffs. Drop medium hands such as Q♥J♥ in the passage's example from the betting range, because betting them draws calls only from better hands and folds out worse ones.
4. 4Count combinations, not hand types. Fill the value bucket from the top down (king-queen and better in the passage's example). Then size the bluff bucket to value ÷ 2 for a pot-sized bet. The passage's ratio ignores card removal, so adjust the count for blockers afterward.
5. 5Choose bluffs by equity and removal, not by mood. Pick hands that can improve or that block the opponent's calling hands, and take the best first. Examples are T♠9♠ on Q♥7♣6♠ (four outs to the nuts, running flush chances, and middle-pair outs) and suited connectors that turn into semi-bluffs. Reject hands like a pair of deuces, which have two outs to a set and cannot double-barrel effectively.
6. 6Set the bottom of the bluffing range by indifference. The worst hand you bluff with should be roughly break-even versus check-folding, while your best bluffs should be clearly profitable.
7. 7Check the opposing response. A balanced range leaves bluff catchers at about 0 EV between calling and folding. If you find a response that is clearly better against you, such as always calling or always folding, move bluffs up or down until it disappears.
8. 8On the flop and turn, do not force a binary label. Mark each bet as value, bluff, or both. A bet that gets called by AK, AQ, 98s, 88, or 77 while you usually win at showdown carries both properties. Count its value and bluff parts separately.

The river bet is a pot-sized bet, and you value bet king-queen and better and bluff everything worse than a pair of nines. The opponent risks one pot-sized bet to win two, so he needs to win 33.3% to break even. For him to be indifferent between calling and folding with hands stronger than seven-x and weaker than king-queen, your range needs two value bets for every one bluff. If you bluff too much, he calls with every bluff catcher. If you bluff too little, he folds them all. Either way he picks a uniformly best response, which is the failure. At the correct ratio, calling and folding with a bluff catcher are both about 0 EV. His best calls then come from the catchers with the strongest removal effects: K♥J♣ blocks some of your top-pair combos, so he should usually call with it. The passage's ratio ignores removal, so the exact combo counts shift slightly.

• If your bet is pot-sized, then hold about two value combos per bluff combo. If it is smaller, recompute the ratio from the caller's break-even (27.3% at $30 into $50).
• If opponents always call your river bets with bluff catchers, then you bluff too much, so cut the weakest bluffs.
• If opponents fold their bluff catchers too easily, then you bluff too little, so add bluffs that have outs or good blockers.
• If a hand would only be called by better hands and fold out worse ones, then check it instead of betting.
• If choosing among bluffs, then pick the hands with the best equity and removal first, and treat the worst bluff in your range as near break-even.

• Choosing bluffs because you feel like bluffing. The tell is that your bluff hands share no blockers or outs and vary with your mood rather than the board.
• Using the same ratio for every bet size. The tell is a 2-to-1 count after you bet smaller than pot, when the opponent's break-even is no longer 33.3%.
• Betting medium-strength hands as thin value in a polarized river spot. The tell is that only hands that beat you call, and worse hands fold.
• Labeling every flop or turn bet as pure value or pure bluff. The tell is that you drop semi-bluffs or merge them into the wrong bucket, and the ratio ends up wrong.
• Using weak bluffs with no outs, such as a small pair that can only improve to a set. The tell is that the bluff barrels twice and has no equity or removal to support it.

• ▸Board and pot size: record the pot before the bet.
• ▸Bet size: enter the amount you bet.
• ▸Caller break-even %: compute bet ÷ (pot + bet + bet) from the caller's side, i.e. risk ÷ (pot + risk).
• ▸Target value:bluff ratio: derive it from the break-even (2:1 at pot-sized).
• ▸Value combos: list hands and combo count that are called by worse.
• ▸Bluff combos needed: value combos ÷ ratio, adjusted for card removal.
• ▸Candidate bluffs ranked: list hands by equity and blockers, best first.
• ▸Medium hands to check: list hands that only get called by better.
• ▸Opponent response test: note whether he can always call or always fold bluff catchers, and adjust.

1. 1Name the spot and the bettor's sizing first. The defending frequency depends on what the opponent risks versus what he can win. Example from the source: a button open to 2.5 big blinds against 1.5 big blinds of dead money, and a 3-bet to 9.5 big blinds.
2. 2Find the fold frequency at which the aggressor's any-two-cards bluff breaks even. The source's anchor: a 2.5 big blind open to win 1.5 big blinds cannot be folded to more than 62.5 percent of the time (2.5 / (2.5 + 1.5)). Past that point he profits immediately with any two cards. Against the 9.5 big blind 3-bet the ceilings are 69.3 percent from the small blind and 68.0 percent from the big blind. Your defending frequency is the complement of that ceiling.
3. 3Count the aggressor's total continuing outcomes, not just folds. If he gets called, he wins 0 big blinds on his open, not 1.5. That is why 'I break even when he calls' is a trap: calls and 3-bets both reduce his profit relative to folds.
4. 4When you never flat, build the defend frequency by multiplication. If the opener 4-bets 25–30 percent of his opening range and calls a 5-bet with 50–60 percent of that 4-bet range, about 15.2 percent of his range (27.5% × 55%) continues. Against an opponent who refuses to flat 3-bets, defend at least that much of his opening range, or ace-rag suited and pocket-pair bluffs become profitable for him.
5. 5Fill the defending range from the top down using the source's tables. Strong hands continue as value and the weakest continuing hands are the bluffs or bluff catchers. Not every strong hand should raise. The equity table shows that ace-king and jacks are only mediocre 4-bets in the cutoff (total EV 1.5 and -0.7 big blinds), so you call them. Calling keeps the opponent's range wider.
6. 6Cap the frequency in the other direction as well. Bluff catching against a pot-sized bet means calling about half your hands against competent opponents. Against players who are very tight or very timid, whose bet is a monster before they even bet, bluff-catching calls just lose money, so fold more. Against a player who rarely bluffs and is often beaten, fold almost always, though not literally always, or you teach him to change.
7. 7Check the result against the opponent's actual EV. Compute his EV with the worst hand in his betting range. If it is clearly positive with any two cards, you are over-folding. If his weakest bluffs lose money by a wide margin, you are over-defending and paying off value. Aim for him to be close to indifferent with his worst bluff.
8. 8Adjust to observed behavior without drifting. Where call and fold have equal EV against an optimal opponent, a real opponent still responds to your frequencies. Calling too often makes him stop bluffing, and folding too often makes him bluff too much. Stay balanced against good opponents unless you plan to reverse strategy later.

The source runs the number from the opener's side, which shows what the defenders' frequencies do. You open the worst hand in your UTG range for 3.5 big blinds at an aggressive table. You are 3-bet 30 percent of the time and cold-called 25 percent of the time. Generously, you assume 0 EV when called, so everyone folds the remaining 45 percent of the time and you win 1.5 big blinds. EV = 0.3(-3.5) + 0.25(0) + 0.45(1.5) = -0.375 big blinds. The defenders here continue 55 percent of the time, which is too much for that weakest hand to profit. You lose money opening it, so they are over-defending relative to the theoretical balance and your weak opens stop being profitable. The flip side is the 15.2 percent rule: against an opener who only 4-bets or folds, 27.5 percent 4-bets × 55 percent 5-bet calls means about 15.2 percent of his range continues. If you defend less than that, ace-rag suited and pocket pairs become profitable 3-bet bluffs against him.

• If the aggressor's bluff with any two cards shows a positive EV, you are folding too much. Add the highest-equity or best-blocking hands to your continuing range until his worst bluff is near break-even.
• If you call and he never has to fold, and his worst bluff loses clearly, you are over-defending. Remove the weakest continues, because calling too much also lets him cut his bluffs without cost.
• If your opponent is very tight or timid, or his bet represents a monster even before he bets, fold your bluff catchers and drop below the roughly half-your-hands pot-bet benchmark.
• If you hold a hand with an equal EV for call or fold against an optimal opponent, pick the line that keeps your overall frequencies balanced against competent opponents. Do not default to a single action.
• If a hand like ace-king or jacks is only marginal as a raise (as with 4-betting in the cutoff), call instead. Calling still defends and keeps his range wide.

• Treating a call as 'no change' to the aggressor's EV. Tell: you ignore that he wins 1.5 big blinds on folds versus 0 on calls, and your EV math for his open or bluff comes out too good for him.
• Over-folding to raises so that any two cards raise profitably. Tell: your opponent raises flops with air at a high rate and never gets punished, and he would never choose to fold.
• Using the generic 'call about half against a pot bet' without regard to the opponent. Tell: you pay off tight or timid players whose bet already meant a monster, and you lose money on bluff catchers.
• Defending with every strong hand by raising instead of calling. Tell: you are 4-betting ace-king or jacks in position when a call has the higher expectation, and your opponent's range stays tight against your aggression.
• Changing frequencies in response to one session and ignoring the incentive effect. Tell: you fold a lot, he starts bluffing more, then you call a lot, he stops bluffing, and you swing between extremes.

• ▸Spot and sizing: state the position, his open or bet size, and the dead money or pot he is trying to win.
• ▸Risk / reward for aggressor: write what he risks and what he wins when you fold (e.g., 2.5 / 1.5).
• ▸Break-even fold %: risk / (risk + reward). The 2.5/1.5 open gives 62.5%. Your minimum defend rate is 100% minus this.
• ▸Opponent's response structure: does he fold to raises, flat, or only 4-bet/fold? If 4-bet/fold, write 4-bet % × 5-bet-call % (e.g., 27.5% × 55% = about 15.2%).
• ▸My current continue %: the share of his range or bets you actually call or raise against.
• ▸Gap to target: my continue % minus the required defend %. A negative gap means his any-two-cards bluff is profitable.
• ▸Hands to add or remove: name the hands you will add (best equity/blockers) or cut (weakest bluff catchers).
• ▸Opponent type adjustment: tight/timid or rarely bluffing means fold more bluff catchers. Aggressive means you can continue more with your bluff catchers.
• ▸Re-check EV of his weakest bluff: after changes, record whether his worst bluff is near break-even or clearly positive/negative.

1. 1Start from the stack depth. At 100 big blinds there are enough chips to bet on every street, so position is almost always important. When only a small amount can be bet, position has little value, so discount it. Record effective stack in big blinds before you decide.
2. 2List the three advantages you are paying for. Acting last gives you more information. It gives you the first chance to stop the betting and see the next street. It lets you call more effectively on the turn with draws. For each hand, name which of the three you expect to use.
3. 3Treat position as a reason to see more flops, not as a reason to play every hand. Plan to see many flops in position and limit the flops you see out of position. Add hands to your in-position calling range only if the hand can realize its equity.
4. 4Test each candidate call by asking where its equity comes from. You want equity against the opponent's betting and calling range, not against hands he folds by the river. Ace-nine offsuit on the button against a middle-position open fails this test. It is too weak to check down three streets, and when you bet, the worse hands fold, so the equity is never realized.
5. 5Prefer hands that can keep calling on the turn. In the source example, 9♥8♥ and 6♦6♠ have about the same flop equity (~10% against top pair). Nine-eight suited has 22 turn cards that give a straight draw, flush draw, or pair with five outs, so you can call again and see the river from position. Sixes must usually fold to a turn bet.
6. 6Check the call against pot odds. A $30 bet into $50 gives $80-to-$30, so you need 27.3% to profit. A draw that can only call one more street from position has to clear that number to justify the call.
7. 7Adjust for the spot, not a fixed hand ranking. Hands cannot be ranked strongest to weakest, because position and stack depth change a hand's value. Re-evaluate in each pot type. In 3-bet pots the 3-bettor is usually out of position with a polarized range, and the in-position caller has a condensed range full of medium-strength hands.
8. 8Plan the later streets before you call. In a 3-bet pot you will often face multiple bets with medium-strength hands. Decide now which of those hands continue and which fold, so position does not tempt you into a call you cannot finish.

You are on the button. A reasonable middle-position player opens and the flop comes. The source compares two calls that each have about 10% equity against a top-pair hand: 6♦6♠ and 9♥8♥. Sixes can only improve to a set, so after a turn bet you usually fold unless the set arrives, and you never see a river six. Nine-eight suited has twenty-two cards that give a straight draw, flush draw, or pair with five outs. The turn is one of those cards 46.8% of the time, and then you can call again from position and try to outdraw on the river. If your opponent checks to you, you can sometimes bluff when you miss. Position does not change the 10% flop equity. It lets the hand with continuing equity stay in cheaply and see the next card, and the source calls 9♥8♥ the superior hand for that reason. Ace-nine offsuit fails the same test. Its equity sits mostly against hands that fold, so being on the button does not make it a good call.

• If effective stacks are near 100 big blinds, then treat position as a major edge and plan to see more flops in position. If only a small amount can be bet, then discount position heavily.
• If a hand's equity is mostly against hands your opponent folds by the river (ace-nine offsuit vs a middle-position open), then fold even on the button.
• If two hands have similar flop equity, then call with the one that can continue on the turn with a draw or pair-plus-outs, not the one that must fold to a bet unless it hits (66 vs 98s).
• If you are in a 3-bet pot as the in-position caller, then expect to hold medium-strength hands. Decide in advance which of them continue against multiple bets, since the source calls these decisions hard.
• If you are out of position, then limit the flops you see and favor hands that make strong hands or draws. Against a wide button opener, king-ten offsuit works better as a call than seven-five suited. Seven-five suited gains value in 3-bet pots.

• Valuing a hand by raw equity alone. The tell is calling in position with a hand like ace-nine offsuit because the equity software shows a high number, then never winning when you bet.
• Assuming position is worth the same at every stack depth. The tell is playing wide in position with short stacks, where little can be bet and position has little value.
• Calling with pairs that cannot continue on the turn and hoping to hit. The tell is folding 66 to a turn bet and never seeing the river card you were hoping for.
• Treating position as a fixed ranking of hands. The tell is playing the same hands in the same way in single-raised and 3-bet pots, when seven-five suited and king-ten offsuit swap value between them.
• Fearing large in-position pots. The tell is auto-folding medium-strength hands in 3-bet pots because the stakes are higher, when the source says to accept playing big pots with far-from-nutted hands.

• ▸Effective stack (big blinds): enter it. Near 100 means position is almost always important; a small bettable amount means discount it.
• ▸Your seat vs opener: note whether you act last on the flop.
• ▸Your hand: write the exact holding.
• ▸Equity source: state whether the equity is against hands that bet and call to the river or against hands that fold.
• ▸Turn continue count: count the cards that give a draw or pair-plus-outs you can call with (e.g. 22 for 98s).
• ▸Turn continue %: divide the count by the unseen cards (the source gives 46.8% for the 22-card example).
• ▸Pot-odds hurdle: calculate the win % you need from bet size and pot (e.g. $30 into $50 = 27.3%).
• ▸Pot type: record single-raised or 3-bet, and whether your range there is polarized or condensed.
• ▸Decision and plan: call or fold, and which turn and river bets you will continue against.

1. 1Read the board by its effect on equity distribution. Ask whether the texture pushes hands toward extremes (nuts or air) or leaves many hands in the middle. Hands that flop or turn very high or very low equity are easier to play than hands that always hold a medium amount. Example: a 33.3% hand facing a $100 bet into $50 must fold, because it needs 40%.
2. 2Count how much the next card changes things. List the cards that give your hand a straight draw, flush draw, or pair. With 9♥8♥ there are 22 such cards, so the turn is one of them 46.8% of the time. A hand like 6♦6♠ has the same flop equity but must usually fold to a turn bet unless it hits immediately.
3. 3Ask whether more cards are dangerous for your strong hands. A board where giving extra cards is risky is one where players with strong hands raise early, and the calling range left behind becomes condensed. Check-calling Q♥T♥4♣ and then a 7♠ turn leaves almost no strong hands (they would have raised) and almost no weak hands (they would have folded).
4. 4Label each player's range as polarized, condensed, or neither. Flop texture in raised pots with wide ranges often changes the strength of many hands at once. A bet on T♥8♥4♣ includes strong made hands, medium made hands, draws, and bluffs, so it is neither polarized nor condensed. Do not force a binary read there.
5. 5Re-check the range shape at every new card. A condensed check-calling range stays condensed on the river only if the river does not improve many of its hands. A turn like the 2♦ that improves nothing for the opponent's range lets you bet small to deny free cards.
6. 6Compute the price your own bluffs will face on wet boards before you pick a size. Wet boards lower the equity needed to call, so large check-raise bluffs get pulled into calling jams. The pot-odds math is: price to call ÷ (pot + price to call).
7. 7Size by street using texture. Use a larger flop bet when the turn card is likely to be a blank, so opponents with overcard hands holding over 25% equity fold. Then bet smaller on a low turn, where the opponent's implied odds and equity have fallen. Betting equal pot fractions across all three streets applies only to a perfectly polarized nuts-or-air range.
8. 8Finish with a defend-ability check on your calling ranges, especially in 3-bet pots. Call with a balanced range that can be defended effectively on the vast majority of common board textures. Hands with 20 to 25 percent equity are the ones that become hard to play on the turn.

You check-raise the turn on a wet board to 40 big blinds. The pot is 149.5 big blinds, and you have 50.5 behind. If the opponent jams, your price is 50.5 into a total of 200 (149.5 + 50.5), so calling needs only 50.5/200 ≈ 25.3% equity. On a board with a reasonable amount of coordination, few hands strong enough to check-raise bluff sit below about 25.3% equity. So you cannot comfortably fold, and you end up making slightly profitable calls or questionable folds after a big investment. The opponent's jam also realizes its equity, so you must call often. If you fold more than one-third of the time, his jam is usually profitable. That implies you should not let value hands fall to 50-60% of your turn check-raises on a very wet board. Add value hands, add strong draws that dominate his weaker draws, or check-raise all-in when the sizing makes folding impossible. Compare the dry-board contrast: with J♥T♥ on T♣7♣4♠ then a 2♦, you bet larger on the flop to fold out overcards with over 25% equity. You bet small on the blank turn, where his implied odds have dropped.

• If a hand's equity is medium and stays medium across most runouts, then expect to realize little of it and prefer hands that either make something strong or can outdraw on the river (9♥8♥ over 6♦6♠).
• If you have a strong hand on a board where extra cards are dangerous, then bet bigger early (a descending sizing structure) so draws pay to chase you.
• If the opponent checks to you on a turn or river that improved little in his range, then bet small to deny a free card and limit the effect of a check-raise.
• If the board is very wet and you plan a large turn check-raise bluff, then count your folding equity against a jam. Calling needs only about 25% equity, so only bluff with hands you can call with or fold at the right frequency.
• If your range keeps raising only strong and weak hands, then you are left with a condensed calling range that opponents can overbet. Slowplay some strong hands against skilled opponents.

• Treating equal flop equity as equal hand quality. The tell: you call flop and turn with a hand like 6♦6♠ that can only win by hitting a specific card, then fold to the turn bet anyway.
• Reading every range as polarized or condensed. The tell: you give a wide in-position bet on a coordinated flop like T♥8♥4♣ a pure bluff-or-nuts label, when it also holds medium made hands and draws.
• Ignoring the river card's effect on a condensed range. The tell: you keep treating a check-calling range as capped after a river that completes many of its draws or improves many of its hands.
• Large check-raise bluffs on wet turns. The tell: you reach a jam needing about 25% equity, and either call with air or fold after investing 40 big blinds.
• Using one bet size for the whole range on every board. The tell: your large bets fold out your draws while narrowing the opponent's call to strong hands, and your small bets keep his range wide and weak when you wanted folds.

• ▸Board and street: write the flop, turn, and river cards so far.
• ▸Coordination / draw count: list suits and connectedness, and count the cards that give a straight draw, flush draw, or pair to your hand.
• ▸Equity profile: note whether your hand sits near the nuts, near air, or in the medium zone, and its approximate equity.
• ▸Next-card risk: write whether a further card endangers strong hands (a reason to bet bigger now) or leaves ranges unchanged.
• ▸Range shape (you / opponent): mark each as polarized, condensed, or neither, and cite the prior actions that support it.
• ▸River-improvement check: write which cards would improve many hands in a check-calling range and break its condensed shape.
• ▸Price math: enter pot, price to call, and compute price ÷ (pot + price) as the equity needed.
• ▸Sizing plan by street: write flop/turn/river sizes and why (descending, small to deny free cards, or equal fractions for a nuts-or-air range).
• ▸Defend check: state whether your calling range here would be defendable on most common textures.