Dealt vs Opened vs 3-Bet Ranges
Real ranges fold low cards and keep the big suited ones. Almost every frequency bends.
PLO hand-class frequencies by range
How often a dealt, opened, or 3-bet hand holds each class. ×N compares each range to dealt.
| A hand that holds… | Dealt | BTN open | BB 3-bet |
|---|---|---|---|
| Flush drawtwo or more spades on K♠9♠6♥ | 21.4% | 23.3% ×1.1 | 27.4% ×1.3 |
| Made flushtwo or more spades on K♠9♠6♠ | 18.0% | 20.0% ×1.1 | 24.4% ×1.4 |
| Straight (Q + J)at least one queen and one jack on K♠T♥9♦ | 7.2% | 10.0% ×1.4 | 11.7% ×1.6 |
| Straight (A + K)at least one ace and one king on Q♠J♥T♦ | 7.2% | 15.7% ×2.2 | 21.9% ×3.1 |
| Straight (2 + 4)at least one deuce and one four on A♠5♥3♦ | 7.2% | 1.5% ×0.21 | 0.39% ×0.05 |
| Seta pocket pair matching the board on J♠7♥2♦ | 4.4% | 4.9% ×1.1 | 4.4% ×0.98 |
| Pocket acestwo or more aces on J♠7♥2♦ | 2.9% | 5.9% ×2.0 | 25.2% ×8.7 |
| Pocket kingstwo or more kings on J♠7♥2♦ | 2.9% | 5.9% ×2.0 | 14.3% ×5.0 |
| Pocket queenstwo or more queens on J♠7♥2♦ | 2.9% | 5.6% ×2.0 | 8.4% ×2.9 |
| Flush draw, high flush cardstwo or more hearts on A♥Q♥6♠ | 21.4% | 20.9% ×0.98 | 22.7% ×1.1 |
| Flush draw, low flush cardstwo or more hearts on 7♥5♥K♠ | 21.4% | 25.2% ×1.2 | 32.1% ×1.5 |
Same draw odds, different range
A random hand holds a flush draw the same 21.4% of the time on both flops. The played ranges disagree.
Played ranges keep big suited cards, so a flush draw turns up more often than the dealt 21.4%. How much more depends on which cards of the suit are on the board. With low flush cards the 3-bettor holds one 32.1% of the time, ×1.5 the dealt rate. With the ace and queen of the suit on board it drops to 22.7%: those two cards block the big suited combos that carry most of its flush draws.
Methodology
The played ranges come from a 6-max 100bb PLO4 preflop solve, a GTO solver's preflop strategy. This PLO4 snapshot uses profile v20310_g1_fb100_tb75_rb75_tt1_rt1 from the current versioned solve.
- Dealt - every starting hand, counted equally.
- BTN open - the button's first-in raise strategy, weighted across 47.4% of unblocked deals.
- BB 3-bet - the big blind's 3-bet strategy facing a button open, weighted across 10.3% of unblocked deals. This is the action range at that node, not the chance of reaching it.
- Each hand is weighted by how often the range actually plays it, then the percentages are counted over all 270,725 4-card combos. The count is exact for the stored solver weights (rounded to 0.5-percentage-point steps); no Monte Carlo simulation is used.
- On a board, any hand using one of the shown cards is removed first, so the percentages cover only the hands still possible. The BB strategy is evaluated as a standalone action range; the count does not condition on the button's specific private cards.