Polarized vs Merged Range: What a Medium Hand Beats
A polarized range holds very strong hands and bluffs, with almost nothing in between; a merged range (or linear range) goes from the best hands down to medium ones, with few or no bluffs. The difference matters to the caller: against a polarized range, a medium hand only beats the bluffs; against a merged range, it also beats the weaker medium hands.
A♠8♠ facing a river overbet
Heads-up, you are on the button with A♠8♠ and you bet the flop and the turn. Board A♦ J♣ 6♥ 3♠ 9♦, the big blind bets 150% pot on the river. Fold or call?
See the answer
Calling 150% pot needs 37.5% equity. Two example ranges of 7 combos, with the same bet size to compare, and how A♠8♠ does:
| Range | Hands | A♠8♠ beats |
|---|---|---|
| Polarized | A♥J♥, A♣9♣, 6♠6♣, 9♥9♣ (two pair, sets) + K♥Q♥, Q♠T♠, 5♦4♦ (missed draws) | the 3 missed draws: 42.9% |
| Merged | A♥J♥, 6♠6♣, 9♥9♣ + A♣5♣, K♦J♦, J♠T♠, Q♦9♠ (weaker pairs) | the 4 weaker pairs: 57.1% |
In both cases A♠8♠ clears the call's 37.5%, but for a different reason: against the polarized range, the bluffs pay for the call; against the merged range, the weaker pairs do. The expected answer is the call.
What a medium hand beats, by range
| Shape of the range | What it holds | What a calling medium hand beats |
|---|---|---|
| Polarized | very strong hands + bluffs | only the bluffs |
| Merged (linear) | best hands → medium hands | the weaker medium hands |
Against a polarized range the question is "how many bluffs?"; against a merged range, "how many medium hands weaker than mine?".
Keep going
- What a range is and how to count it: poker range.
- Calling the river with a medium hand: river bluff catcher.
- Bets bigger than the pot: overbet poker.
- How often a bluff has to work: how often a bluff must work.
- How much of your range to defend: minimum defense frequency.
- One spot every day: the daily poker puzzle.
- Who holds more good hands, and who holds the best: range advantage.
- The equilibrium of a polarized range: GTO poker.
- How many bluffs a river betting range holds for each size: the bluff to value ratio.
Sources
- Every result is computed by exact enumeration with the app's equity module, and every price with its pot odds module, checked on October 11, 2026.
- Both ranges are examples to illustrate the difference; they do not come from a solver. The answer to the spot is written by the app's author.