// starting hands · 12th of 169

AKo ace-king offsuit

Ace-king offsuit is 12 of the 1,326 two-card starting hands (0.90%). All-in before the flop it wins 65.3% against a random hand, 12th 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 hand65.3%12th of 169
combos12offsuit
HU small blind shoves2–25 bbfolded to, push or fold
HU big blind calls2–25 bbfacing a shove

AKo against every hand

All-in preflop, five cards to come. AKo is ahead (better than 50%) against 93.4% of the 1,225 hands an opponent can still hold, and behind against 6.0%. 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
K2o77.6%9
K3o77.2%9
K4o76.7%9
K9o76.3%9
K5o76.3%9
K8o75.9%9

Worst matchups

AgainstEquityLive combos
AA6.8%3
KK30.2%3
JJ43.0%6
TT43.1%6
QQ43.3%6
8844.8%6

AKo in the famous matchups

Exact all-in odds, every board dealt rather than sampled, with the suit patterns and how each hand wins:

All matchups →

What AKo makes, street by street

The best hand AKo 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 AKo by street
Best handFlopTurnRiverRiver, any two
Royal flush0%0.00087%0.0044%0.0032%
Straight flush0%0.00087%0.0058%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%
Straight0.33%1.28%3.30%4.62%
Three of a kind1.57%3.06%4.43%4.83%
Two pair4.04%11.4%22.7%23.5%
One pair40.4%47.7%45.6%43.8%
High card53.6%35.4%19.7%17.4%

Poker hand rankings, with the odds of every hand →

AKo after the deal

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

The poker odds chart →

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

AKo 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.

OpponentAKo equityLive combos in range
The Nit42.9%36
The Calling Station58.2%206
The Maniac60.7%289
The Reg56.6%142

Push/fold with AKo

Heads-up, the small blind shoves at every depth from 2 to 25 bb when folded to; the big blind calls at every depth from 2 to 25 bb against the equilibrium shove. At 6-max, AKo open-shoves at every depth from 2 to 25 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 from 2 to 25 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

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

6-max · 1 bb big-blind ante

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

9-max · 1 bb big-blind ante

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

Knowing where AKo 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 AKo's two cards are out, so against a random hand the equity is Σ (live combos × equity) ÷ 1,225 = 65.3%. 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: ako.json and the summary hands.json, built by tools/build-hands.mjs.