Foundations · Poker strategy
Hand vs Range Equity: How the Hand and Board Matter
By Pokerscope · Updated · 4 min read
In real poker, you rarely know your opponent’s exact hand. Instead, estimate how your hand performs against their range: all the hands they could reasonably have.
In this guide
Button raises, big blind calls
The button, abbreviated BU, raises to 2.5 big blinds. The big blind, BB, calls, and the flop is dealt.
You hold A♠ Q♠ on the button. The flop is Q♥ 7♦ 3♣, giving you a pair of queens with an ace as your second card.
Against the example BB calling range used in Pokerscope’s lesson, your equity is about 86%. BB can have hands that beat you, but also many worse pairs and hands that missed entirely.
These are rounded reference estimates for that particular preflop calling range. They are not fixed percentages against every big blind, or against a narrower range that has already bet or raised on the flop. The BB vs button range chart gives the preflop context.
Different hands against the same range
Keep the flop Q♥ 7♦ 3♣ and BB’s starting calling range the same. Change only your button hand:
| Button hand | What it makes | Approximate equity |
|---|---|---|
| A♠ Q♠ | Top pair, ace second card | 86% |
| Q♦ 9♦ | Top pair, weaker second card | 81% |
| 7♣ 6♣ | Middle pair | 66% |
| 3♥ 3♠ | Three of a kind | 94% |
| J♠ T♠ | No pair, needs two cards for a straight | 32% |
| A♥ K♥ | Ace-high | 57% |
| K♣ 8♦ | No pair | 33% |
Middle pair is ahead of much of this range. Even ace-king without a pair has more than half the equity, because BB also has many unpaired hands and AK can improve.
The purpose is to build useful reference points. “No pair” does not always mean weak, and “one pair” does not tell you enough without the board and opponent’s range.
Board texture changes equity
Now keep A♠ Q♠ and the same BB preflop range, but change the flop.
Q♥ 7♦ 3♣: top pair on a disconnected board
AQ has about 86% equity. It is hard for BB to make many strong hands here. Hands such as 7-3 and Q-3 often fold before the flop, so there are fewer two-pair combinations than the board alone might suggest.
Q♥ J♥ T♠: top pair on a connected board
AQ still has top pair, but its equity falls to about 74%. BB can connect with this board through hands such as AK, 98, QJ, JT, QT, and two hearts.
More of the range has strong made hands or ways to improve. The name of your hand has not changed, but its strength against the range has.
Look at the range’s hand breakdown
Before estimating your own equity, ask what the opponent can have:
- How much of the range has missed the flop?
- How often does it make a weak pair or top pair?
- Which hands make two pair, a set, or a straight?
- Which hands have a flush or straight draw?
Compare the two boards above. Q♥ J♥ T♠ connects with far more of the broadway and suited hands that can call before the flop. That helps explain the lower equity for AQ without guessing one exact opposing hand.
Range equity is a weighted average
A range calculation averages your equity against its legal combinations, accounting for how often each is played. Cards in your hand and on the board remove impossible combinations.
For example, an unblocked pocket pair has six combinations, a suited non-pair has four, and an offsuit non-pair has twelve. A hand played only some of the time contributes less weight than one always played.
The drill gives you a hand and a random flop against an opponent’s range. Start with how that range connects to the board, then estimate your hand’s equity. Use pot odds when turning that estimate into a calling decision.