// starting hands · 39th of 169

QJo queen-jack offsuit

Queen-jack offsuit is 12 of the 1,326 two-card starting hands (0.90%). All-in before the flop it wins 58.1% against a random hand, 39th of 169. Below: its equity against every other hand and against the four opponent ranges, and the solved push/fold answer at every stack from 2 to 25 bb, heads-up, 6-max and 9-max. Every number is computed, and the working is at the bottom.

vs a random hand58.1%39th of 169
combos12offsuit
HU small blind shoves2–25 bbfolded to, push or fold
HU big blind calls≤ 19 bbfacing a shove

QJo against every hand

All-in preflop, five cards to come. QJo is ahead (better than 50%) against 65.1% of the 1,225 hands an opponent can still hold, and behind against 34.3%. Its own two cards remove 101 combos from the deck, which is why the live counts below do not always match the usual 4, 6 and 12. Tap a cell to open that hand.

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
ahead 50/50 behindnumber = equity, %

Best matchups

AgainstEquityLive combos
J2o76.7%9
J3o76.3%9
J7o75.6%9
J4o75.6%9
J6o75.4%9
J5o75.1%9

Worst matchups

AgainstEquityLive combos
QQ10.7%3
KK13.6%6
AA15.0%6
KQs25.0%3
KJs25.1%3
KQo25.8%9

What QJo makes, street by street

The best hand QJo holds on every flop, turn and river, with every board dealt (19,600 flops, 2,118,760 rivers). The last column is any two cards, for comparison.

Best made hand for QJo by street
Best handFlopTurnRiverRiver, any two
Royal flush0%0.00087%0.0044%0.0032%
Straight flush0%0.0022%0.012%0.028%
Four of a kind0.010%0.046%0.13%0.17%
Full house0.092%0.63%2.22%2.60%
Flush0%0.43%1.96%3.03%
Straight0.98%3.30%7.09%4.62%
Three of a kind1.57%3.06%4.37%4.83%
Two pair4.04%11.4%22.4%23.5%
One pair40.4%47.1%43.7%43.8%
High card52.9%34.0%18.1%17.4%

Poker hand rankings, with the odds of every hand →

QJo after the deal

How often a hand like this flops something, and what its draws are worth, every card counted:

The poker odds chart →

QJo against AA in the equity calculator → Add more hands, a flop or dead cards, and every board is dealt again.

QJo against the four opponents

The same matrix, weighted by the ranges the trainer's bots play. These ranges are assumptions, not solver output, and are printed in full on /opponents so you can argue with them.

OpponentQJo equityLive combos in range
The Nit28.0%43
The Calling Station41.2%208
The Maniac44.6%299
The Reg38.3%149

Push/fold with QJo

Heads-up, the small blind shoves at every depth from 2 to 25 bb when folded to; the big blind calls at every depth up to 19 bb against the equilibrium shove. At 6-max, QJo open-shoves at every depth up to 11 bb, and again at 13, 14 bb from UTG and open-shoves at every depth from 2 to 25 bb from the button; at 9-max from UTG it open-shoves at every depth up to 6 bb. Each cell is the solved frequency at that stack, read from the same tables as the push/fold charts; hover or tap for the EV against folding.

always (≥80%) mixed, % shown fold (≤20%)column = effective stack, links to that chart

Heads-up · no ante

QJo heads-up push/fold frequency by stack depth
bb2345678910111213141516171819202122232425
SB shove●●●●●●●●●●●●●●●●●●●●●●●●
BB call●●●●●●●●●●●●●●●●●●

6-max · 1 bb big-blind ante

QJo 6-max push/fold frequency by seat and stack depth
bb2345678910111213141516171819202122232425
Open-shove, folded to
UTG●●●●●●●●●●48645121
HJ●●●●●●●●●●●●●●●●●6855
CO●●●●●●●●●●●●●●●●●●●●●●●●
BTN●●●●●●●●●●●●●●●●●●●●●●●●
SB●●●●●●●●●●●●●●●●●●●●●●●●
Big blind calls a shove from
vs UTG●●●●●●●●32
vs HJ●●●●●●●●●●
vs CO●●●●●●●●●●●●
vs BTN●●●●●●●●●●●●●●●●
vs SB●●●●●●●●●●●●●●●●●●●●●●●●

9-max · 1 bb big-blind ante

QJo 9-max push/fold frequency by seat and stack depth
bb2345678910111213141516171819202122232425
Open-shove, folded to
UTG●●●●●
UTG+1●●●●●●
UTG+2●●●●●●●34
LJ●●●●●●●●●●48645121
HJ●●●●●●●●●●●●●●●●●6855
CO●●●●●●●●●●●●●●●●●●●●●●●●
BTN●●●●●●●●●●●●●●●●●●●●●●●●
SB●●●●●●●●●●●●●●●●●●●●●●●●
Big blind calls a shove from
vs UTG●●●●●●●
vs UTG+1●●●●●●●
vs UTG+2●●●●●●●●
vs LJ●●●●●●●●32
vs HJ●●●●●●●●●●
vs CO●●●●●●●●●●●●
vs BTN●●●●●●●●●●●●●●●●
vs SB●●●●●●●●●●●●●●●●●●●●●●●●

Knowing where QJo sits on the chart is half of it. The trainer deals every hand at the depth and seat you pick and prices each wrong shove or call in big blinds.

Drill heads-up →6-max9-max
// how these numbers were computed
  • Hand vs hand: our Rust engine (the same WebAssembly file the trainer runs) dealt 200,000 random five-card boards for every one of the 14,196 class-vs-class matchups, with card-conflicting combos excluded and ties counted as half. Sampling error is about ±0.1 percentage points per matchup.
  • Hand vs a range: each villain class is weighted by how many of its combos are still live once QJo's two cards are out, so against a random hand the equity is Σ (live combos × equity) ÷ 1,225 = 58.1%. Against an opponent, the sum runs over that opponent's range only.
  • Equity against a random hand is not how good a hand is to play. It ignores position, stack depth and what your opponent actually continues with. The push/fold rows are the playable answer, and only for the shove-or-fold endgame.
  • Push/fold rows are copied from the solved tables, which state their own assumptions on the heads-up, 6-max and 9-max hubs (6-max and 9-max ignore three-way all-ins). Frequencies between 20% and 80% count as mixed.
  • Raw data: qjo.json and the summary hands.json, built by tools/build-hands.mjs.