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Range & Nut Advantage

Lesson 3 · Who should bet and why · 24 practice questions

Range advantage

Range advantage means that, on this board, your whole range has more equity than villain's whole range — more of the strong hands and fewer of the weak ones. It is not about the two cards you hold. When you open the button and the big blind calls, your range holds every big pair and most of the strong aces, because the big blind would have 3-bet many of those hands. His range is wider and weaker: more small pairs, suited connectors and weak offsuit broadways. On boards with high cards and few draws, that difference shows up directly. The player with range advantage can bet often, because the average hand villain holds is behind and will fold or call with a weak hand; the player without it has to check more and defend with care.

Example. On A♥7♦2♣, with a typical button open against a typical big-blind defend (our assumption, not a solver run), the button's range has about 55% equity against the big blind's. Top pair or an overpair makes up 23% of the button's range and 17% of the big blind's, and the big blind rarely holds AA or AK because he 3-bets them preflop. That is why this course's answer for A♥7♦2♣ is a bet: small, with the whole range, at high frequency.

Common mistake: judging the flop by your own two cards. With Q♣J♣ on A♥7♦2♣ you have nothing, but your range has the edge — the bet is made for the range, and Q♣J♣ is part of it.

Nut advantage

Nut advantage is a narrower question: who holds more of the very top hands — sets, straights, two pair — on this board. It matters because bet size follows the nuts. A player who can hold the best hands while the opponent cannot may bet big and even overbet, since villain has nothing that wants to play a big pot. A player whose range has the equity edge but not the nut edge can bet small at most, because a big bet gets raised by exactly the hands he lacks. The two advantages usually come together on high boards and come apart on low, connected ones. There the big blind's defending range — suited connectors, small pairs, suited aces — holds its share of the straights and two pairs, while the button's extra equity sits in overpairs and big cards that are only one pair.

Example. On 6♥5♠4♦, with the same assumed ranges, the button still has about 52% of the equity — almost the same as on K♠8♦3♣ (about 53%), where it bets its whole range — but two pair or better is 5.1% of the big blind's range and only 4.4% of the button's: the nut edge has switched sides. His sets, two pairs and 8-7 straights make up a bigger share of his range, and the button's overpairs face check-raises they cannot call comfortably. So this course checks the button's whole range on 6♥5♠4♦, although its equity is above 50%.

Common mistake: reading range advantage from equity alone. A 52% range that can be raised off its overpairs is not a range that wants to bet.

Practical takeaway

In practice you sort the flop into a few families before you think about your hand. High and dry (A-7-2, K-8-3, A-Q-5): the raiser has both advantages — bet small with the whole range. Paired and dry (8-8-2, Q-Q-4): almost nobody hits and the raiser holds more overpairs — bet small with the whole range. Low or middle and connected (6-5-4, 7-6-5, 9-8-7): the caller holds more of the nuts — check most of the range. Queen- or jack-high and connected (J-T-9, Q-J-T): equity is close to even and the caller has slightly more two pairs and straights — check most hands; a small bet with the whole range is acceptable but is not the main line. Ace- or king-high boards stay the raiser's boards even when they are connected (A-K-Q).

Example. Compare two boards with the same assumed ranges. On K♠8♦3♣ the button has 52.7% of the equity, 18% of its range is top pair or an overpair against 14% of the big blind's, and two pair or better is 2.7% against 2.2% — a small range bet. On J♦T♥9♥ the button has 48.7%, and two pair or better is 15.6% of its range against 18.5% of the big blind's — check most hands. The board decides the default before your own two cards are considered; your hand then decides whether it is one of the exceptions.

Common mistake: c-betting every flop because you raised preflop. Initiative tells villain you were strong before the flop; the board decides whether you still are.

Counting a range: combos

A range is a list of hands, but to weigh it you count combinations — combos. Every pocket pair comes in 6 combos: four aces can pair up six ways (A♠A♥, A♠A♦, A♠A♣, A♥A♦, A♥A♣, A♦A♣). Every non-pair hand such as A-K comes in 16: 4 suited and 12 offsuit. The cards you can see change these numbers. When one ace is on the board only three aces are left, so A-A drops from 6 combos to 3 and A-K drops from 16 to 12. A card in your own hand is removed the same way: a blocker is a card you hold, which villain therefore cannot hold, and course 14 builds on it. So the share of strong hands in a range is never a count of hand names: on an ace-high board the raiser's big aces lose combos too, but the big blind, who 3-bets A-A and A-K preflop, holds far fewer of them to begin with.

Example. On A♥7♦2♣, A-A has 3 combos left (A♠A♦, A♠A♣, A♦A♣), A-K has 12 (three aces times four kings), and each of 7-7 and 2-2 has 3. A button range holding A-A, A-K, A-Q and both sets therefore has 3 + 12 + 12 + 3 + 3 = 33 strong combos on this flop, while a big-blind range that 3-bets A-A and A-K starts with only the 6 set combos plus its A-Q and weaker aces. Counting like this is how the 23% top-pair-or-better share in the first lesson is built: combos, not hand names.

Common mistake: treating every hand name as one hand. A-K is sixteen hands preflop and twelve on an ace-high board; a pocket pair is six, and three once one of its cards is on the board.

Key takeaways

• Ace- or king-high and dry (A-7-2, K-8-3, A-K-4) → bet small with your whole range.
• Paired and dry (8-8-2, Q-Q-4, A-A-7) → bet small with your whole range; few hands hit and the raiser holds more overpairs.
• Low or middle and connected (6-5-4, 7-6-5, 9-8-7) → check most of your range; the caller has the nut advantage.
• Queen- or jack-high and connected (Q-J-T, J-T-9) → check most hands; a small range bet is acceptable but not the main line.
• Any board → set the range's default first, then ask whether your hand is an exception.
• Weighing a range → count combos: a pair is 6, a non-pair hand 16 (4 suited, 12 offsuit); one of its cards on the board takes a pair to 3 and A-K to 12.

Sample drill from this lesson

FAQ

Key terms in this lesson

Equity · Range Advantage · Nut Advantage · Range (Poker Hand Range) · Continuation Bet (C-bet) · Check-Raise · Blockers · Overbet

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