ATo
58.45%
Wins 58.23%, ties 0.44%
J9s
41.55%
Wins 41.33%, ties 0.44%
ATo against J9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 58.229 | 0.435 | 41.336 | 58.447 |
| J9s | 41.336 | 0.435 | 58.229 | 41.553 |
Here an offsuit hand (ATo) meets a suited hand (J9s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.44%: on those boards the pot is chopped and neither hand wins outright.
ATo ranks number 19 of 169 starting hands, and J9s ranks number 55, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 47,859,000 | 358,000 | 33,974,000 |
| J9s | 33,974,000 | 358,000 | 47,859,000 |
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) |
|---|---|---|---|---|
| ATo | 1.407 | 1.717 | 2.419 | 0.711 |
| J9s | 0.711 | 2.419 | 1.717 | 1.407 |
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
Across the five flop textures ATo's equity moves by 6.33 points, from 55.92% on monotone flops to 62.25% on paired flops. ATo stays ahead on all five textures.
| Flop | Share of flops | ATo wins | Ties | J9s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 60.426 | 0.151 | 39.423 | 60.501 |
| Rainbow, nine or lower | 7.042 | 55.669 | 0.712 | 43.619 | 56.025 |
| Two-tone | 46.667 | 56.516 | 0.256 | 43.228 | 56.644 |
| Monotone | 5.212 | 54.742 | 2.361 | 42.897 | 55.922 |
| Paired | 17.091 | 61.942 | 0.624 | 37.434 | 62.254 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 62.72% for ATo and 55.66% for J9s. This opponent changes them by -4.27 and -14.11 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 58.447 | 62.722 | -4.275 | 0.93184 |
| ATo, rainbow, ten or higher | 60.501 | 62.722 | -2.221 | 0.96459 |
| ATo, rainbow, nine or lower | 56.025 | 62.722 | -6.697 | 0.89323 |
| ATo, two-tone | 56.644 | 62.722 | -6.078 | 0.90310 |
| ATo, monotone | 55.922 | 62.722 | -6.800 | 0.89159 |
| ATo, paired | 62.254 | 62.722 | -0.468 | 0.99254 |
| J9s, all flops | 41.553 | 55.662 | -14.109 | 0.74652 |
| J9s, rainbow, ten or higher | 39.499 | 55.662 | -16.163 | 0.70962 |
| J9s, rainbow, nine or lower | 43.975 | 55.662 | -11.687 | 0.79004 |
| J9s, two-tone | 43.356 | 55.662 | -12.306 | 0.77892 |
| J9s, monotone | 44.078 | 55.662 | -11.584 | 0.79189 |
| J9s, paired | 37.746 | 55.662 | -17.916 | 0.67813 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (ATo at 58.95%) and 24 do not (57.94%). ATo does better with a shared suit, by 1.01 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | J9s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.716 | 0.476 | 40.808 | 58.954 |
| No shared suit | 24 | 50.00 | 57.742 | 0.395 | 41.863 | 57.940 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. ATo averages $116.90 from the $200, up $16.90; J9s averages $83.10, down $16.90.
Run 1,000 deals and the tally comes out near 582 for ATo, 414 for J9s and 4 ties.
The same matchup from the other side
Swap the hands and you get J9s with 41.55% against ATo with 58.45%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
AsTh against Jd9d 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
We counted every case. Each suit pattern of the 48 specific ATo against J9s 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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