AJo
56.32%
Wins 56.08%, ties 0.48%
KQs
43.68%
Wins 43.44%, ties 0.48%
AJo against KQs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 56.082 | 0.482 | 43.436 | 56.323 |
| KQs | 43.436 | 0.482 | 56.082 | 43.677 |
The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.48% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
Ranked by equity against a random hand, AJo is number 15 of the 169 starting hands and KQs is number 16.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 46,094,000 | 396,000 | 35,700,000 |
| KQs | 35,700,000 | 396,000 | 46,094,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJo | 1.290 | 1.783 | 2.302 | 0.775 |
| KQs | 0.775 | 2.302 | 1.783 | 1.290 |
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
The flop changes the picture. AJo does best on low rainbow flops (nine high or lower), at 72.90%, and worst on rainbow flops topped by a ten or better, at 51.72%. AJo 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 | AJo wins | Ties | KQs wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.260 | 51.683 | 0.071 | 48.246 | 51.719 |
| Rainbow, nine or lower | 7.770 | 72.307 | 1.183 | 26.510 | 72.899 |
| Two-tone | 46.667 | 54.148 | 0.314 | 45.538 | 54.305 |
| Monotone | 5.212 | 52.854 | 2.393 | 44.753 | 54.050 |
| Paired | 17.091 | 60.958 | 0.600 | 38.442 | 61.258 |
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
How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by -7.24 points, and KQs, from 63.40%, by -19.72.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 56.323 | 63.563 | -7.240 | 0.88610 |
| AJo, rainbow, ten or higher | 51.719 | 63.563 | -11.844 | 0.81367 |
| AJo, rainbow, nine or lower | 72.899 | 63.563 | +9.336 | 1.14688 |
| AJo, two-tone | 54.305 | 63.563 | -9.258 | 0.85435 |
| AJo, monotone | 54.050 | 63.563 | -9.513 | 0.85034 |
| AJo, paired | 61.258 | 63.563 | -2.305 | 0.96374 |
| KQs, all flops | 43.677 | 63.400 | -19.723 | 0.68891 |
| KQs, rainbow, ten or higher | 48.281 | 63.400 | -15.119 | 0.76153 |
| KQs, rainbow, nine or lower | 27.101 | 63.400 | -36.299 | 0.42746 |
| KQs, two-tone | 45.695 | 63.400 | -17.705 | 0.72074 |
| KQs, monotone | 45.950 | 63.400 | -17.450 | 0.72476 |
| KQs, paired | 38.742 | 63.400 | -24.658 | 0.61107 |
Does a shared suit matter?
Split by suits, the deals give AJo 56.81% when the hands overlap in a suit and 55.84% when they do not. AJo does better with a shared suit, by 0.97 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KQs wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.547 | 0.523 | 42.930 | 56.808 |
| No shared suit | 24 | 50.00 | 55.617 | 0.442 | 43.941 | 55.838 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AJo against KQs, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJo's average share is $112.64 (a gain of $12.64) and KQs' is $87.36 (a loss of $12.64).
Think in thousands: about 561 of 1,000 go to AJo, about 434 go to KQs, and about 5 are chopped.
The same matchup from the other side
KQs versus AJo is this same page seen from the other hand: 43.68% for KQs, 56.32% for AJo.
Keep exploring
Try AsJh against KdQd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
We counted every case. Each suit pattern of the 48 specific AJo against KQs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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