A9s
65.53%
Wins 58.45%, ties 14.17%
A4s
34.47%
Wins 27.38%, ties 14.17%
A9s against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 58.445 | 14.169 | 27.386 | 65.530 |
| A4s | 27.386 | 14.169 | 58.445 | 34.470 |
Here suited hands face each other, A9s on one side and A4s on the other. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A lead of 31.06 points is large but not decisive: A4s still takes about 274 of every 1,000 deals. Ties are 14.17% of the outcomes here; each tied board gives both hands half the pot.
Place 18 of 169 belongs to A9s and place 35 belongs to A4s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 12,009,000 | 2,911,000 | 5,627,000 |
| A4s | 5,627,000 | 2,911,000 | 12,009,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| A9s | 1.901 | 1.711 | 3.652 | 0.526 |
| A4s | 0.526 | 3.652 | 1.711 | 1.901 |
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
A9s prefers rainbow flops topped by a ten or better, where it holds 68.84%, and likes monotone flops least, where it holds 61.23%. A9s stays ahead on all five textures.
| Flop | Share of flops | A9s wins | Ties | A4s wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.526 | 61.946 | 13.780 | 24.274 | 68.836 |
| Rainbow, nine or lower | 6.383 | 62.970 | 3.350 | 33.680 | 64.645 |
| Two-tone | 46.543 | 60.433 | 10.430 | 29.137 | 65.648 |
| Monotone | 5.215 | 55.993 | 10.470 | 33.537 | 61.228 |
| Paired | 17.333 | 47.226 | 29.858 | 22.916 | 62.155 |
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
Start from the random-hand figures, 62.78% for A9s and 59.03% for A4s. This opponent changes them by +2.75 and -24.56 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 65.530 | 62.781 | +2.749 | 1.04379 |
| A9s, rainbow, ten or higher | 68.836 | 62.781 | +6.055 | 1.09645 |
| A9s, rainbow, nine or lower | 64.645 | 62.781 | +1.864 | 1.02969 |
| A9s, two-tone | 65.648 | 62.781 | +2.867 | 1.04567 |
| A9s, monotone | 61.228 | 62.781 | -1.553 | 0.97526 |
| A9s, paired | 62.155 | 62.781 | -0.626 | 0.99003 |
| A4s, all flops | 34.470 | 59.034 | -24.564 | 0.58390 |
| A4s, rainbow, ten or higher | 31.164 | 59.034 | -27.870 | 0.52790 |
| A4s, rainbow, nine or lower | 35.355 | 59.034 | -23.679 | 0.59889 |
| A4s, two-tone | 34.352 | 59.034 | -24.682 | 0.58190 |
| A4s, monotone | 38.772 | 59.034 | -20.262 | 0.65677 |
| A4s, paired | 37.845 | 59.034 | -21.189 | 0.64107 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | A9s wins | Ties | A4s wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 58.445 | 14.169 | 27.386 | 65.530 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are A9s in one seat and A4s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Put $100 each into a $200 pot and deal every board once: A9s averages $131.06 back, ahead of its $100 by $31.06, while A4s averages $68.94, short of its $100 by $31.06.
Scaled to 1,000 deals, that is roughly 584 wins for A9s, 274 for A4s and 142 chopped pots.
The same matchup from the other side
If you came looking for A4s against A9s, the numbers are the same with the hands swapped: 34.47% and 65.53%.
Keep exploring
As9s against Ah4h 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
Nothing here is simulated. The 12 deals of A9s against A4s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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