AQo
63.38%
Wins 63.17%, ties 0.44%
JTo
36.62%
Wins 36.39%, ties 0.44%
AQo against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 63.165 | 0.437 | 36.398 | 63.384 |
| JTo | 36.398 | 0.437 | 63.165 | 36.616 |
Both hands are offsuit hands: AQo and JTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 26.76 point lead is real, and JTo still takes about 364 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, AQo is number 14 and JTo is number 57 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 155,747,000 | 1,078,000 | 89,747,000 |
| JTo | 89,747,000 | 1,078,000 | 155,747,000 |
Exact total: 144 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AQo | 1.731 | 1.583 | 2.747 | 0.578 |
| JTo | 0.578 | 2.747 | 1.583 | 1.731 |
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
Split by what the flop looks like, AQo peaks at 70.25% on low rainbow flops (nine high or lower) and bottoms out at 60.23% on rainbow flops topped by a ten or better. AQo stays ahead on all five textures.
| Flop | Share of flops | AQo wins | Ties | JTo wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.381 | 60.172 | 0.115 | 39.713 | 60.229 |
| Rainbow, nine or lower | 7.771 | 69.773 | 0.952 | 29.275 | 70.249 |
| Two-tone | 46.606 | 62.617 | 0.310 | 37.073 | 62.772 |
| Monotone | 5.151 | 61.766 | 1.696 | 36.538 | 62.614 |
| Paired | 17.091 | 66.173 | 0.612 | 33.215 | 66.479 |
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
A random hand would give AQo 64.43% and JTo 55.25%. Against each other the change is -1.05 points for AQo and -18.63 for JTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 63.384 | 64.432 | -1.048 | 0.98373 |
| AQo, rainbow, ten or higher | 60.229 | 64.432 | -4.203 | 0.93477 |
| AQo, rainbow, nine or lower | 70.249 | 64.432 | +5.817 | 1.09028 |
| AQo, two-tone | 62.772 | 64.432 | -1.660 | 0.97424 |
| AQo, monotone | 62.614 | 64.432 | -1.818 | 0.97178 |
| AQo, paired | 66.479 | 64.432 | +2.047 | 1.03177 |
| JTo, all flops | 36.616 | 55.248 | -18.632 | 0.66276 |
| JTo, rainbow, ten or higher | 39.771 | 55.248 | -15.477 | 0.71986 |
| JTo, rainbow, nine or lower | 29.751 | 55.248 | -25.497 | 0.53850 |
| JTo, two-tone | 37.228 | 55.248 | -18.020 | 0.67383 |
| JTo, monotone | 37.386 | 55.248 | -17.862 | 0.67669 |
| JTo, paired | 33.521 | 55.248 | -21.727 | 0.60674 |
Does a shared suit matter?
Split by suits, the deals give AQo 63.49% when the hands overlap in a suit and 62.87% when they do not. AQo does better with a shared suit, by 0.62 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | JTo wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 63.260 | 0.453 | 36.287 | 63.486 |
| No shared suit | 24 | 16.67 | 62.693 | 0.358 | 36.949 | 62.872 |
How often this matchup comes up
Exactly 144 specific deals fit this matchup in one seat order, which is 0.0089% of 1,624,350; both orders together give 288, or 0.0177%.
A worked example
With $100 from each side, the $200 pot is split on average as $126.76 for AQo and $73.24 for JTo; the first side gains $26.76 per all-in and the second gives up $26.76.
In 1,000 deals of exactly this matchup, expect about 632 won outright by AQo, about 364 won outright by JTo and about 4 split.
The same matchup from the other side
One page covers both views. From JTo's side the equity is 36.62%, and from AQo's side it is 63.38%.
Keep exploring
The calculator link fills in AsQh against JdTc, 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
We counted every case. Each suit pattern of the 144 specific AQo against JTo 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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