A9s
58.11%
Wins 57.89%, ties 0.44%
JTo
41.89%
Wins 41.67%, ties 0.44%
A9s against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 57.894 | 0.436 | 41.670 | 58.112 |
| JTo | 41.670 | 0.436 | 57.894 | 41.888 |
The matchup pits a suited hand against an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.44% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, A9s is number 18 of the 169 starting hands and JTo is number 57.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 47,583,000 | 358,000 | 34,249,000 |
| JTo | 34,249,000 | 358,000 | 47,583,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| A9s | 1.387 | 1.727 | 2.400 | 0.721 |
| JTo | 0.721 | 2.400 | 1.727 | 1.387 |
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
Low rainbow flops (nine high or lower) are the best for A9s (71.69%); rainbow flops topped by a ten or better are the worst (51.40%). A9s 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 | A9s wins | Ties | JTo wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 51.319 | 0.153 | 48.528 | 51.395 |
| Rainbow, nine or lower | 7.042 | 71.327 | 0.716 | 27.957 | 71.685 |
| Two-tone | 46.667 | 57.481 | 0.256 | 42.263 | 57.609 |
| Monotone | 5.212 | 53.734 | 2.357 | 43.909 | 54.912 |
| Paired | 17.091 | 63.983 | 0.624 | 35.393 | 64.295 |
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 A9s 62.78% and JTo 55.25%. Against each other the change is -4.67 points for A9s and -13.36 for JTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 58.112 | 62.781 | -4.669 | 0.92563 |
| A9s, rainbow, ten or higher | 51.395 | 62.781 | -11.386 | 0.81864 |
| A9s, rainbow, nine or lower | 71.685 | 62.781 | +8.904 | 1.14183 |
| A9s, two-tone | 57.609 | 62.781 | -5.172 | 0.91762 |
| A9s, monotone | 54.912 | 62.781 | -7.869 | 0.87466 |
| A9s, paired | 64.295 | 62.781 | +1.514 | 1.02412 |
| JTo, all flops | 41.888 | 55.248 | -13.360 | 0.75818 |
| JTo, rainbow, ten or higher | 48.605 | 55.248 | -6.643 | 0.87976 |
| JTo, rainbow, nine or lower | 28.315 | 55.248 | -26.933 | 0.51251 |
| JTo, two-tone | 42.391 | 55.248 | -12.857 | 0.76729 |
| JTo, monotone | 45.088 | 55.248 | -10.160 | 0.81610 |
| JTo, paired | 35.705 | 55.248 | -19.543 | 0.64627 |
Does a shared suit matter?
When the hands share a suit, A9s holds 57.77%; when they do not, it holds 58.46%. A9s does better with no shared suit, by 0.69 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | JTo wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.529 | 0.477 | 41.994 | 57.768 |
| No shared suit | 24 | 50.00 | 58.258 | 0.395 | 41.347 | 58.456 |
How often this matchup comes up
Counting specific cards, A9s against JTo appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).
A worked example
Take a $200 pot built from $100 each. A9s' equity of 58.11% is worth $116.22, a $16.22 edge, and JTo's 41.89% is worth $83.78, which is $16.22 under its stake.
A thousand deals look like this: A9s takes 579, JTo takes 417, 4 are ties.
The same matchup from the other side
Swap the hands and you get JTo with 41.89% against A9s with 58.11%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in As9s against JhTd, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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