KQo
40.22%
Wins 40.00%, ties 0.45%
A7s
59.78%
Wins 59.55%, ties 0.45%
KQo against A7s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 39.995 | 0.448 | 59.557 | 40.219 |
| A7s | 59.557 | 0.448 | 39.995 | 59.781 |
The first hand is an offsuit hand; the second is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.45% of boards end in a split pot, and each side counts that as half a win.
For context, KQo sits at number 23 of 169 starting hands and A7s at number 24 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 32,872,000 | 368,000 | 48,950,000 |
| A7s | 48,950,000 | 368,000 | 32,872,000 |
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) |
|---|---|---|---|---|
| KQo | 0.673 | 2.500 | 1.679 | 1.486 |
| A7s | 1.486 | 1.679 | 2.500 | 0.673 |
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
Low rainbow flops (nine high or lower) are the best for A7s (77.70%); rainbow flops topped by a ten or better are the worst (52.02%). A7s 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 | KQo wins | Ties | A7s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 47.917 | 0.120 | 51.963 | 47.977 |
| Rainbow, nine or lower | 7.042 | 21.861 | 0.887 | 77.252 | 22.305 |
| Two-tone | 46.667 | 40.404 | 0.274 | 59.322 | 40.541 |
| Monotone | 5.212 | 42.365 | 2.375 | 55.260 | 43.553 |
| Paired | 17.091 | 34.509 | 0.616 | 64.875 | 34.817 |
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
Relative to a random opponent, KQo changes by -21.24 points (baseline 61.46%) and A7s by -1.20 points (baseline 60.98%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 40.219 | 61.456 | -21.237 | 0.65444 |
| KQo, rainbow, ten or higher | 47.977 | 61.456 | -13.479 | 0.78067 |
| KQo, rainbow, nine or lower | 22.305 | 61.456 | -39.151 | 0.36294 |
| KQo, two-tone | 40.541 | 61.456 | -20.915 | 0.65968 |
| KQo, monotone | 43.553 | 61.456 | -17.903 | 0.70869 |
| KQo, paired | 34.817 | 61.456 | -26.639 | 0.56654 |
| A7s, all flops | 59.781 | 60.984 | -1.203 | 0.98027 |
| A7s, rainbow, ten or higher | 52.023 | 60.984 | -8.961 | 0.85306 |
| A7s, rainbow, nine or lower | 77.695 | 60.984 | +16.711 | 1.27402 |
| A7s, two-tone | 59.459 | 60.984 | -1.525 | 0.97499 |
| A7s, monotone | 56.447 | 60.984 | -4.537 | 0.92560 |
| A7s, paired | 65.183 | 60.984 | +4.199 | 1.06885 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and A7s holds 59.44%. In 24 they do not, and it holds 60.13%. A7s does better with no shared suit, by 0.69 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | A7s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 40.321 | 0.488 | 59.191 | 40.565 |
| No shared suit | 24 | 50.00 | 39.670 | 0.408 | 59.922 | 39.874 |
How often this matchup comes up
Counting specific cards, KQo against A7s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A7s is worth $119.56 on average (+$19.56); KQo is worth $80.44 (-$19.56).
Out of 1,000 deals you should see around 596 outright wins for A7s, 400 for KQo, and 4 split pots.
The same matchup from the other side
Swap the hands and you get A7s with 59.78% against KQo with 40.22%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsQh against Ad7d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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