// starting hands · 63rd of 169

K3s king-three suited

King-three suited is 4 of the 1,326 two-card starting hands (0.30%). All-in before the flop it wins 54.1% against a random hand, 63rd 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 hand54.1%63rd of 169
combos4suited
HU small blind shoves≤ 20 bbfolded to, push or fold
HU big blind calls≤ 11 bbfacing a shove

K3s against every hand

All-in preflop, five cards to come. K3s is ahead (better than 50%) against 70.0% of the 1,225 hands an opponent can still hold, and behind against 29.7%. 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
Q3o76.2%9
J3o75.8%9
T3o75.4%9
83o75.4%9
93o75.2%9
32o74.8%9

Worst matchups

AgainstEquityLive combos
KK11.2%3
AA15.5%6
AKs26.4%3
A3s27.3%3
AKo27.4%9
A3o28.1%9

What K3s makes, street by street

The best hand K3s 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 K3s by street
Best handFlopTurnRiverRiver, any two
Royal flush0%0.00043%0.0023%0.0032%
Straight flush0%0.0017%0.0100%0.028%
Four of a kind0.010%0.046%0.13%0.17%
Full house0.092%0.63%2.22%2.60%
Flush0.84%2.94%6.57%3.03%
Straight0%0.53%2.19%4.62%
Three of a kind1.57%3.06%4.37%4.83%
Two pair4.04%11.4%22.3%23.5%
One pair40.4%47.1%43.8%43.8%
High card53.0%34.3%18.4%17.4%

Poker hand rankings, with the odds of every hand →

K3s after the deal

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

The poker odds chart →

K3s against AA in the equity calculator → Add more hands, a flop or dead cards, and every board is dealt again.

K3s 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.

OpponentK3s equityLive combos in range
The Nit26.9%43
The Calling Station38.8%223
The Maniac40.8%314
The Reg35.8%159

Push/fold with K3s

Heads-up, the small blind shoves at every depth up to 20 bb when folded to; the big blind calls at every depth up to 11 bb against the equilibrium shove. At 6-max, K3s open-shoves at every depth up to 5 bb from UTG and open-shoves at every depth up to 14 bb from the button; at 9-max from UTG it open-shoves at every depth up to 4 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

K3s heads-up push/fold frequency by stack depth
bb2345678910111213141516171819202122232425
SB shove●●●●●●●●●●●●●●●●●●80
BB call●●●●●●●●●●

6-max · 1 bb big-blind ante

K3s 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

K3s 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 K3s 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 K3s's two cards are out, so against a random hand the equity is Σ (live combos × equity) ÷ 1,225 = 54.1%. 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: k3s.json and the summary hands.json, built by tools/build-hands.mjs.