AJo
61.65%
Wins 61.43%, ties 0.44%
QTo
38.35%
Wins 38.13%, ties 0.44%
AJo against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 61.432 | 0.437 | 38.131 | 61.650 |
| QTo | 38.131 | 0.437 | 61.432 | 38.350 |
This is a contest between two offsuit hands, AJo and QTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 23.30 point lead is real, and QTo still takes about 381 of every 1,000 deals outright. Split pots make up 0.44% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, AJo is number 15 and QTo is number 47 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 151,474,000 | 1,078,000 | 94,020,000 |
| QTo | 94,020,000 | 1,078,000 | 151,474,000 |
The board total is exact, 144 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 | 1.608 | 1.628 | 2.623 | 0.622 |
| QTo | 0.622 | 2.623 | 1.628 | 1.608 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Across the five flop textures AJo's equity moves by 17.33 points, from 56.62% on rainbow flops topped by a ten or better to 73.95% on low rainbow flops (nine high or lower). 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 | QTo wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 56.562 | 0.115 | 43.323 | 56.619 |
| Rainbow, nine or lower | 7.771 | 73.471 | 0.952 | 25.577 | 73.947 |
| Two-tone | 46.606 | 60.684 | 0.310 | 39.006 | 60.839 |
| Monotone | 5.151 | 58.883 | 1.696 | 39.421 | 59.731 |
| Paired | 17.091 | 65.428 | 0.612 | 33.960 | 65.734 |
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
Each hand has a baseline against a random hand: 63.56% for AJo, 57.29% for QTo. Here the change is -1.91 and -18.94 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 61.650 | 63.563 | -1.913 | 0.96990 |
| AJo, rainbow, ten or higher | 56.619 | 63.563 | -6.944 | 0.89075 |
| AJo, rainbow, nine or lower | 73.947 | 63.563 | +10.384 | 1.16337 |
| AJo, two-tone | 60.839 | 63.563 | -2.724 | 0.95714 |
| AJo, monotone | 59.731 | 63.563 | -3.832 | 0.93971 |
| AJo, paired | 65.734 | 63.563 | +2.171 | 1.03416 |
| QTo, all flops | 38.350 | 57.291 | -18.941 | 0.66939 |
| QTo, rainbow, ten or higher | 43.381 | 57.291 | -13.910 | 0.75720 |
| QTo, rainbow, nine or lower | 26.053 | 57.291 | -31.238 | 0.45475 |
| QTo, two-tone | 39.161 | 57.291 | -18.130 | 0.68355 |
| QTo, monotone | 40.269 | 57.291 | -17.022 | 0.70289 |
| QTo, paired | 34.266 | 57.291 | -23.025 | 0.59810 |
Does a shared suit matter?
The suit split reads 61.71% for AJo with a shared suit and 61.35% without one. AJo does better with a shared suit, by 0.36 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | QTo wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 61.483 | 0.453 | 38.064 | 61.710 |
| No shared suit | 24 | 16.67 | 61.173 | 0.358 | 38.469 | 61.352 |
How often this matchup comes up
How often does it happen? 144 of the 1,624,350 ordered deals (0.0089%) are AJo against QTo, and 288 (0.0177%) if either hand may sit in either seat.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AJo averages $123.30 from the $200, up $23.30; QTo averages $76.70, down $23.30.
Over a long run, 1,000 deals split into about 614 for AJo, 381 for QTo and 5 tied.
The same matchup from the other side
Read it from the other side: QTo against AJo is the same matchup with the numbers swapped, so QTo holds 38.35% and AJo holds 61.65%. That address sends you back to this page.
Keep exploring
AsJh against QdTc 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
Each figure is a complete count over boards. Take the 144 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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