AQo
58.86%
Wins 58.62%, ties 0.47%
KTs
41.14%
Wins 40.91%, ties 0.47%
AQo against KTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 58.624 | 0.472 | 40.904 | 58.860 |
| KTs | 40.904 | 0.472 | 58.624 | 41.140 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
AQo is ahead, but KTs is far from dead: it takes 409 of every 1,000 deals outright. Ties are part of the picture: 0.47% of boards end in a split pot, and each side counts that as half a win.
Place 14 of 169 belongs to AQo and place 22 belongs to KTs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 48,183,000 | 388,000 | 33,619,000 |
| KTs | 33,619,000 | 388,000 | 48,183,000 |
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) |
|---|---|---|---|---|
| AQo | 1.431 | 1.706 | 2.445 | 0.699 |
| KTs | 0.699 | 2.445 | 1.706 | 1.431 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
AQo prefers low rainbow flops (nine high or lower), where it holds 71.77%, and likes rainbow flops topped by a ten or better least, where it holds 55.95%. AQo 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 | AQo wins | Ties | KTs wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 55.898 | 0.113 | 43.989 | 55.954 |
| Rainbow, nine or lower | 7.770 | 71.268 | 0.994 | 27.738 | 71.765 |
| Two-tone | 46.667 | 56.919 | 0.302 | 42.779 | 57.070 |
| Monotone | 5.212 | 55.107 | 2.387 | 42.506 | 56.301 |
| Paired | 17.091 | 62.313 | 0.604 | 37.083 | 62.615 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 64.43%, AQo changes by -5.57 points, and KTs, from 61.79%, by -20.65.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 58.860 | 64.432 | -5.572 | 0.91352 |
| AQo, rainbow, ten or higher | 55.954 | 64.432 | -8.478 | 0.86842 |
| AQo, rainbow, nine or lower | 71.765 | 64.432 | +7.333 | 1.11381 |
| AQo, two-tone | 57.070 | 64.432 | -7.362 | 0.88574 |
| AQo, monotone | 56.301 | 64.432 | -8.131 | 0.87380 |
| AQo, paired | 62.615 | 64.432 | -1.817 | 0.97180 |
| KTs, all flops | 41.140 | 61.789 | -20.649 | 0.66581 |
| KTs, rainbow, ten or higher | 44.046 | 61.789 | -17.743 | 0.71285 |
| KTs, rainbow, nine or lower | 28.235 | 61.789 | -33.554 | 0.45696 |
| KTs, two-tone | 42.930 | 61.789 | -18.859 | 0.69478 |
| KTs, monotone | 43.699 | 61.789 | -18.090 | 0.70723 |
| KTs, paired | 37.385 | 61.789 | -24.404 | 0.60504 |
Does a shared suit matter?
The suit split reads 59.40% for AQo with a shared suit and 58.33% without one. AQo does better with a shared suit, by 1.07 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | KTs wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.139 | 0.512 | 40.349 | 59.395 |
| No shared suit | 24 | 50.00 | 58.109 | 0.432 | 41.459 | 58.325 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AQo against KTs, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says AQo gets $117.72 of it on average and KTs gets $82.28.
Out of 1,000 deals you should see around 586 outright wins for AQo, 409 for KTs, and 5 split pots.
The same matchup from the other side
KTs versus AQo is this same page seen from the other hand: 41.14% for KTs, 58.86% for AQo.
Keep exploring
The calculator link fills in AsQh against KdTd, 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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