AJo
59.76%
Wins 59.53%, ties 0.47%
KQo
40.24%
Wins 40.00%, ties 0.47%
AJo against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 59.528 | 0.468 | 40.004 | 59.762 |
| KQo | 40.004 | 0.468 | 59.528 | 40.238 |
This is a contest between two offsuit hands, AJo and KQo. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
AJo is ahead, but KQo is far from dead: it takes 400 of every 1,000 deals outright. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts AJo at 15 and KQo at 23 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 146,779,000 | 1,154,000 | 98,639,000 |
| KQo | 98,639,000 | 1,154,000 | 146,779,000 |
The total is exact: 144 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) |
|---|---|---|---|---|
| AJo | 1.485 | 1.680 | 2.500 | 0.673 |
| KQo | 0.673 | 2.500 | 1.680 | 1.485 |
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 AJo (75.92%); rainbow flops topped by a ten or better are the worst (53.36%). 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 | KQo wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 53.325 | 0.074 | 46.601 | 53.362 |
| Rainbow, nine or lower | 7.771 | 75.296 | 1.241 | 23.463 | 75.916 |
| Two-tone | 46.606 | 58.573 | 0.349 | 41.078 | 58.748 |
| Monotone | 5.151 | 55.895 | 1.724 | 42.381 | 56.757 |
| Paired | 17.091 | 64.544 | 0.600 | 34.856 | 64.844 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, AJo holds 63.56% and KQo holds 61.46%. Facing each other changes that by -3.80 points for AJo and -21.22 points for KQo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 59.762 | 63.563 | -3.801 | 0.94020 |
| AJo, rainbow, ten or higher | 53.362 | 63.563 | -10.201 | 0.83951 |
| AJo, rainbow, nine or lower | 75.916 | 63.563 | +12.353 | 1.19434 |
| AJo, two-tone | 58.748 | 63.563 | -4.815 | 0.92425 |
| AJo, monotone | 56.757 | 63.563 | -6.806 | 0.89293 |
| AJo, paired | 64.844 | 63.563 | +1.281 | 1.02015 |
| KQo, all flops | 40.238 | 61.456 | -21.218 | 0.65474 |
| KQo, rainbow, ten or higher | 46.638 | 61.456 | -14.818 | 0.75888 |
| KQo, rainbow, nine or lower | 24.084 | 61.456 | -37.372 | 0.39189 |
| KQo, two-tone | 41.252 | 61.456 | -20.204 | 0.67124 |
| KQo, monotone | 43.243 | 61.456 | -18.213 | 0.70364 |
| KQo, paired | 35.156 | 61.456 | -26.300 | 0.57205 |
Does a shared suit matter?
When the hands share a suit, AJo holds 59.78%; when they do not, it holds 59.68%. The two rows differ by only 0.10 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | AJo wins | Ties | KQo wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 59.537 | 0.484 | 39.979 | 59.779 |
| No shared suit | 24 | 16.67 | 59.483 | 0.388 | 40.129 | 59.677 |
How often this matchup comes up
How often does it happen? 144 of the 1,624,350 ordered deals (0.0089%) are AJo against KQo, and 288 (0.0177%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. AJo is worth $119.52 on average (+$19.52); KQo is worth $80.48 (-$19.52).
Think in thousands: about 595 of 1,000 go to AJo, about 400 go to KQo, and about 5 are chopped.
The same matchup from the other side
Read it from the other side: KQo against AJo is the same matchup with the numbers swapped, so KQo holds 40.24% and AJo holds 59.76%. That address sends you back to this page.
Keep exploring
Open the calculator with AsJh against KdQc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 144 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session