KTo
40.54%
Wins 40.29%, ties 0.49%
A3s
59.46%
Wins 59.22%, ties 0.49%
KTo against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 40.293 | 0.492 | 59.215 | 40.539 |
| A3s | 59.215 | 0.492 | 40.293 | 59.461 |
KTo is an offsuit hand and A3s is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A3s is ahead, but KTo is far from dead: it takes 403 of every 1,000 deals outright. 0.49% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts KTo at 33 and A3s at 38 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 33,117,000 | 404,000 | 48,669,000 |
| A3s | 48,669,000 | 404,000 | 33,117,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTo | 0.682 | 2.482 | 1.689 | 1.467 |
| A3s | 1.467 | 1.689 | 2.482 | 0.682 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, A3s peaks at 75.91% on low rainbow flops (nine high or lower) and bottoms out at 52.03% on rainbow flops topped by a ten or better. A3s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KTo wins | Ties | A3s wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.889 | 0.169 | 51.942 | 47.973 |
| Rainbow, nine or lower | 7.042 | 23.614 | 0.955 | 75.431 | 24.092 |
| Two-tone | 46.667 | 40.745 | 0.319 | 58.936 | 40.904 |
| Monotone | 5.212 | 42.593 | 2.406 | 55.001 | 43.796 |
| Paired | 17.091 | 34.568 | 0.641 | 64.791 | 34.889 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KTo from 59.74% by -19.20 points and A3s from 58.22% by +1.24 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 40.539 | 59.739 | -19.200 | 0.67860 |
| KTo, rainbow, ten or higher | 47.973 | 59.739 | -11.766 | 0.80304 |
| KTo, rainbow, nine or lower | 24.092 | 59.739 | -35.647 | 0.40329 |
| KTo, two-tone | 40.904 | 59.739 | -18.835 | 0.68471 |
| KTo, monotone | 43.796 | 59.739 | -15.943 | 0.73312 |
| KTo, paired | 34.889 | 59.739 | -24.850 | 0.58402 |
| A3s, all flops | 59.461 | 58.220 | +1.241 | 1.02132 |
| A3s, rainbow, ten or higher | 52.027 | 58.220 | -6.193 | 0.89363 |
| A3s, rainbow, nine or lower | 75.908 | 58.220 | +17.688 | 1.30381 |
| A3s, two-tone | 59.096 | 58.220 | +0.876 | 1.01505 |
| A3s, monotone | 56.204 | 58.220 | -2.016 | 0.96537 |
| A3s, paired | 65.111 | 58.220 | +6.891 | 1.11836 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (A3s at 59.12%) and 24 do not (59.80%). A3s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | A3s wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 40.614 | 0.533 | 58.853 | 40.880 |
| No shared suit | 24 | 50.00 | 39.972 | 0.450 | 59.578 | 40.197 |
How often this matchup comes up
KTo against A3s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Take a $200 pot built from $100 each. A3s' equity of 59.46% is worth $118.92, a $18.92 edge, and KTo's 40.54% is worth $81.08, which is $18.92 under its stake.
Per 1,000 deals: A3s wins about 592, KTo wins about 403, and about 5 end in a split pot.
The same matchup from the other side
Read it from the other side: A3s against KTo is the same matchup with the numbers swapped, so A3s holds 59.46% and KTo holds 40.54%. That address sends you back to this page.
Keep exploring
KsTh against Ad3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KTo against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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